Marco Delmastro, profile picture
Uploaded byMarco Delmastro
PDF, PPTX821 views

Living with a pre-teen Higgs boson. 12 years with the Higgs boson, and the next 12 years: a tale in 12 chapters.

The document reflects on twelve years of research related to the Higgs boson, highlighting its significance in particle physics and the journey toward its discovery at the Large Hadron Collider (LHC) in 2012. It discusses fundamental concepts such as electroweak symmetry breaking, Higgs potential, and the implications of the Higgs field for mass generation in elementary particles. The author also addresses the historical context and theoretical developments leading up to the Higgs boson's recognition as a critical element of the Standard Model.

Embed presentation

Download as PDF, PPTX
1 / 108
2 / 108
3 / 108
4 / 108
5 / 108
6 / 108
7 / 108
8 / 108
9 / 108
10 / 108
11 / 108
12 / 108
13 / 108
14 / 108
15 / 108
16 / 108
17 / 108
18 / 108
19 / 108
20 / 108
21 / 108
22 / 108
23 / 108
24 / 108
25 / 108
26 / 108
27 / 108
28 / 108
29 / 108
30 / 108
31 / 108
32 / 108
33 / 108
34 / 108
35 / 108
36 / 108
37 / 108
38 / 108
39 / 108
40 / 108
41 / 108
42 / 108
43 / 108
44 / 108
45 / 108
46 / 108
47 / 108
48 / 108
49 / 108
50 / 108
51 / 108
52 / 108
53 / 108
54 / 108
55 / 108
56 / 108
57 / 108
58 / 108
59 / 108
60 / 108
61 / 108
62 / 108
63 / 108
64 / 108
65 / 108
66 / 108
67 / 108
68 / 108
69 / 108
70 / 108
71 / 108
72 / 108
73 / 108
74 / 108
75 / 108
76 / 108
77 / 108
78 / 108
79 / 108
80 / 108
81 / 108
82 / 108
83 / 108
84 / 108
85 / 108
86 / 108
87 / 108
88 / 108
89 / 108
90 / 108
91 / 108
92 / 108
93 / 108
94 / 108
95 / 108
96 / 108
97 / 108
98 / 108
99 / 108
100 / 108
101 / 108
102 / 108
103 / 108
104 / 108
105 / 108
106 / 108
107 / 108
108 / 108
Marco Delmastro 1 Université de Genève, 8/5/2024 (12 years with the Higgs boson, and the next 12 years) Living with a pre-teen Higgs boson Marco Delmastro A tale in 12 chapters Twelve years with the Higgs boson Calvin and Hobbes characters copyright by Bill Watterson and Universal Press Syndicate
Marco Delmastro Twelve years with the Higgs boson 2 Peter Higgs (29 May 1929 – 8 April 2024)
Marco Delmastro Twelve years with the Higgs boson 3 Why the Higgs boson? 1.
A fundamental question Marco Delmastro Twelve years with the Higgs boson 4 How do elementary particles get mass?
This is not a QFT lecture… Marco Delmastro Twelve years with the Higgs boson 5 All microscopic phenomena seems to be well described by a remarkably simple theory (that we continue to call “model” only for historical reasons...) <latexit sha1_base64="t7jABaN4vfTdPKJHm4B2gXRZMQ0=">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</latexit> LSM = Lgauge( i, Aa) + LHiggs(H, Aa, i) massless particles interact by exchanges of forces carried by massless gauge bosons. QFT describes free fields, interactions generated by gauge symmetries (thus renormalizable) mass terms cannot be directly added without breaking theory gauge invariance (i.e. mass is not a fundamental property, rather an emerging phenomenon) Theory would not make sense without a Higgs field (or something similar) responsible for spontaneous symmetry breaking and mass generation…
Marco Delmastro Twelve years with the Higgs boson 6 An idea from 1964 2.
What’s hot in in physics in 1964? Marco Delmastro Twelve years with the Higgs boson 7 Quark model
What’s hot in in physics in 1964? Marco Delmastro Twelve years with the Higgs boson 8 Observation of CP-violation
The Brout-Englert-Higgs mechanism is also proposed… Marco Delmastro Twelve years with the Higgs boson 9 14 citations in the first 5 years 18 citations in the first 5 years 11 citations in the first 5 years 23 citations in the first 5 years … and barely noticed!
It would take 10 more years to become “mainstream”… Marco Delmastro Twelve years with the Higgs boson 10 1967 Photon remains massless Electroweak Symmetry Breaking incorporated into Standard Model 1967 1971-72 Standard Model is renormalizable
Marco Delmastro Twelve years with the Higgs boson 11 A closer look to the SM Lagrangian 3.
Marco Delmastro Twelve years with the Higgs boson 12
Marco Delmastro Twelve years with the Higgs boson 13 “This equation neatly sums up our current understanding of fundamental particles and forces” understanding = knowledge? understanding = hypothesis?
Gauge sector Marco Delmastro Twelve years with the Higgs boson 14 This part is very well known (one could even say since the discovery of Maxwell equations in 1880), elegant and very well experimentally verified! understanding = knowledge
Electro-weak symmetry breaking Marco Delmastro Twelve years with the Higgs boson 15 Still a gauge interaction (nothing new, one might be tempted to say…), only this time between bosons and a scalar field! Nothing like this directly observed before 2012 (but tested before by precision electroweak interactions) Experimentally observed in 2012 with Higgs boson discovery… …this term could not exist without a v.e.v.
Fermion masses via Yukawa interaction Marco Delmastro Twelve years with the Higgs boson 16 Before 2012 this term was almost a conjecture… and even after the discovery in 2012, it remains an “anomalous” term (it’s not a gauge interaction, and no interaction with this structure has ever been observed in nature) understanding = hypothesis Is the Higgs boson responsible for the EW symmetry breaking also responsible for the masses of fermions? Is the Higgs boson responsible for the masses of all fermions?
Higgs potential Marco Delmastro Twelve years with the Higgs boson 17 It defines all characteristics of Higgs field and defines Higgs self- interaction properties. Nothing like this has ever been observed in nature Is the shape of the Higgs potential that postulated by the Standard Model? <latexit sha1_base64="BBVZUPbRYadmWj7o4wIXeYEGuaw=">AAACKnicbVDLSgMxFM34rPU16tJNsAgtYpkpRd0IVTcuK9gHdKYlk8lMQzMPkoxQhn6PG3/FTRdKceuHmGlnoa0HAifn3HuTe5yYUSENY6atrW9sbm0Xdoq7e/sHh/rRcVtECcekhSMW8a6DBGE0JC1JJSPdmBMUOIx0nNFD5ndeCBc0Cp/lOCZ2gPyQehQjqaSBftcuW80hrcBbeAmtIOnXYHbvWy7yfcIzDi+gxdREF8Hyslfp1wZ6yagac8BVYuakBHI0B/rUciOcBCSUmCEheqYRSztFXFLMyKRoJYLECI+QT3qKhiggwk7nq07guVJc6EVcnVDCufq7I0WBEOPAUZUBkkOx7GXif14vkd6NndIwTiQJ8eIhL2FQRjDLDbqUEyzZWBGEOVV/hXiIOMJSpVtUIZjLK6+Sdq1qXlXrT/VS4z6PowBOwRkoAxNcgwZ4BE3QAhi8gnfwAT61N22qzbSvRemalvecgD/Qvn8Av9ukfw==</latexit> V ( ) = µ2 † + ( † )2
A couple of things about the Higgs potential… Marco Delmastro Twelve years with the Higgs boson 18 <latexit sha1_base64="BBVZUPbRYadmWj7o4wIXeYEGuaw=">AAACKnicbVDLSgMxFM34rPU16tJNsAgtYpkpRd0IVTcuK9gHdKYlk8lMQzMPkoxQhn6PG3/FTRdKceuHmGlnoa0HAifn3HuTe5yYUSENY6atrW9sbm0Xdoq7e/sHh/rRcVtECcekhSMW8a6DBGE0JC1JJSPdmBMUOIx0nNFD5ndeCBc0Cp/lOCZ2gPyQehQjqaSBftcuW80hrcBbeAmtIOnXYHbvWy7yfcIzDi+gxdREF8Hyslfp1wZ6yagac8BVYuakBHI0B/rUciOcBCSUmCEheqYRSztFXFLMyKRoJYLECI+QT3qKhiggwk7nq07guVJc6EVcnVDCufq7I0WBEOPAUZUBkkOx7GXif14vkd6NndIwTiQJ8eIhL2FQRjDLDbqUEyzZWBGEOVV/hXiIOMJSpVtUIZjLK6+Sdq1qXlXrT/VS4z6PowBOwRkoAxNcgwZ4BE3QAhi8gnfwAT61N22qzbSvRemalvecgD/Qvn8Av9ukfw==</latexit> V ( ) = µ2 † + ( † )2 <latexit sha1_base64="80N4xcst4+16Xy1xtBczLyHshr8=">AAAB8HicbVA9SwNBEJ2LXzF+RS1tFoNgFe5CiBYWQRvLCOZDkjPsbfaSJbt7x+6eEI78ChsLRWz9OXb+GzfJFZr4YODx3gwz84KYM21c99vJra1vbG7ltws7u3v7B8XDo5aOEkVok0Q8Up0Aa8qZpE3DDKedWFEsAk7bwfhm5refqNIskvdmElNf4KFkISPYWOmhJ5LHCrpCbr9YcsvuHGiVeBkpQYZGv/jVG0QkEVQawrHWXc+NjZ9iZRjhdFroJZrGmIzxkHYtlVhQ7afzg6fozCoDFEbKljRorv6eSLHQeiIC2ymwGellbyb+53UTE176KZNxYqgki0VhwpGJ0Ox7NGCKEsMnlmCimL0VkRFWmBibUcGG4C2/vEpalbJXK1fvqqX6dRZHHk7gFM7Bgwuowy00oAkEBDzDK7w5ynlx3p2PRWvOyWaO4Q+czx8oAY9X</latexit> µ2 < 0 <latexit sha1_base64="6PqXgsjNoBhoamJZl5E4cuWvJV4=">AAAB8nicbVDLSgMxFL1TX7W+qi7dBIvgqsxIUVdSdOOygn3AdCiZTKYNzSRDkhHK0M9w40IRt36NO//GtJ2Fth4IHM45l9x7wpQzbVz32ymtrW9sbpW3Kzu7e/sH1cOjjpaZIrRNJJeqF2JNORO0bZjhtJcqipOQ0244vpv53SeqNJPi0UxSGiR4KFjMCDZW8vvcRiOMbpA7qNbcujsHWiVeQWpQoDWofvUjSbKECkM41tr33NQEOVaGEU6nlX6maYrJGA+pb6nACdVBPl95is6sEqFYKvuEQXP190SOE60nSWiTCTYjvezNxP88PzPxdZAzkWaGCrL4KM44MhLN7kcRU5QYPrEEE8XsroiMsMLE2JYqtgRv+eRV0rmoe5f1xkOj1rwt6ijDCZzCOXhwBU24hxa0gYCEZ3iFN8c4L86787GIlpxi5hj+wPn8Aec2kFw=</latexit> > 0 The potential is symmetric under rotations in Φ space It has a minimum which is not at <Φ>=0 known as the vacuum expectation value (vev) v that defines the electroweak scale <latexit sha1_base64="31IS0dPFHrmngnacU6nYltdgeZc=">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</latexit> ⌫ = µ p = mW g = 246GeV The mass of the Higgs boson is not predicted by the theory! <latexit sha1_base64="w9Fmr3Xsu0VA/q0jNv8I5c43Vqw=">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</latexit> mH = p 2µ = p 2 ⌫
Marco Delmastro Twelve years with the Higgs boson 19 A textbook discovery 4.
The Large Hadron Collider Marco Delmastro Twelve years with the Higgs boson 20
Higgs boson production at the LHC Marco Delmastro Twelve years with the Higgs boson 21 [TeV] s 6 7 8 9 10 11 12 13 14 15 H+X) [pb] → (pp σ 2 − 10 1 − 10 1 10 2 10 M(H)= 125 GeV LHC HIGGS XS WG 2016 H (N3LO QCD + NLO EW) → pp qqH (NNLO QCD + NLO EW) → pp WH (NNLO QCD + NLO EW) → pp ZH (NNLO QCD + NLO EW) → pp ttH (NLO QCD + NLO EW) → pp bbH (NNLO QCD in 5FS, NLO QCD in 4FS) → pp tH (NLO QCD, t-ch + s-ch) → pp Probing Higgs Couplings at the LHC The Higgs boson at the LHC. Higgs boson production g g H t q H q q q V H V q q̄ V g g Main production channel 2 forward jets, little hadronic activity in between Tag W and Z leptonic and hadronic decays Tag 2 Higgs boson decays + Total Uncert -1 1 LHC HIGGS XS WG 2011 b b τ τ gg WW 5 main decay channels at Decay branching fractions Total Uncert -1 10 1 LHC HIGGS XS WG 2013 b b τ τ gg WW ZZ • H→bb: 58 % 5 key decay chan Tag Main production channel: gluon- gluon fusion 2 forward jets, little central hadronic activity Tag W and Z decays 6.9M 3.8 pb 520k 2.3 pb 320k 0.5 pb 70k 49 pb 4 main production modes #H σ[pb] @ 13TeV # Higgs produced in 140 fb-1 in one experiment Vector Boson Fusion 2 well-separated forward jets VH tag W and Z boson decays ttH tag 2 top quarks gluon-gluon fusion: main production mode at LHC gs at the LHC 4 HC. q H q H V q q̄ V g g H t t̄ e n Tag W and Z leptonic and Tag 2 top quarks Tag 2 top quarks Tag W and Z 2.3 pb 320k 0.5 pb 70k σ [pb] #Higgs produced during Run-2
The Higgs boson is an unstable particle Marco Delmastro Twelve years with the Higgs boson 22 [GeV] H M 80 100 120 140 160 180 200 Higgs BR + Total Uncert -4 10 -3 10 -2 10 -1 10 1 LHC HIGGS XS WG 2013 b b τ τ µ µ c c gg γ γ γ Z WW ZZ Higgs BR @ mH = 125 GeV
Almost exactly 12 years ago… Marco Delmastro Twelve years with the Higgs boson 23 End of 2011… … June 2012…
Marco Delmastro Twelve years with the Higgs boson 24
Marco Delmastro Twelve years with the Higgs boson 25
5 σ! Marco Delmastro Twelve years with the Higgs boson 26 Fabiola Gianotti revealing the combined significance of the ATLAS Higgs searches on on July 4 2012
Higgs boson discovery channels Marco Delmastro Twelve years with the Higgs boson 27 ATLAS: PLB 716 (2012) 1-29 CMS: PLB 716 (2012) 30 W
Marco Delmastro Twelve years with the Higgs boson 28 12 years of Higgs measurements 5.
A long way since the discovery… Marco Delmastro Twelve years with the Higgs boson 29 100 110 120 130 140 150 160 Events / 2 GeV 500 1000 1500 2000 2500 3000 3500 γ γ Æ H Data Sig+Bkg Fit Bkg (4th order polynomial) -1 Ldt=4.8fb ∫ =7 TeV, s -1 Ldt=5.9fb ∫ =8 TeV, s ATLAS =126.5 GeV) H (m [GeV] γ γ m 100 110 120 130 140 150 160 Events - Bkg -200 -100 0 100 200 [GeV] 4l m 100 150 200 250 Events/5 GeV 0 5 10 15 20 25 -1 Ldt = 4.8 fb ∫ = 7 TeV: s -1 Ldt = 5.8 fb ∫ = 8 TeV: s 4l Æ (*) ZZ Æ H Data (*) Background ZZ t Background Z+jets, t =125 GeV) H Signal (m Syst.Unc. ATLAS Phys Lett B 716 (1) 1-29 2012 2012 PDG 2012
A long way since the discovery… Marco Delmastro Twelve years with the Higgs boson 30 [GeV] γ γ m 500 1000 1500 2000 2500 Sum of Weights / GeV Data Background Signal + Background ATLAS -1 = 13 TeV, 139 fb s = 125.09 GeV H m All categories ln(1+S/B) weighted sum S = Inclusive 110 120 130 140 150 160 [GeV] γ γ m 50 − 0 50 100 Cont. Bkg. − Data JHEP 07 (2023) 088 80 90 100 110 120 130 140 150 160 170 [GeV] 4l m 0 20 40 60 80 100 120 140 160 180 Events/2.5 GeV Data Higgs (125 GeV) Z(Z*) tXX, VVV t Z+jets, t Uncertainty ATLAS 4l Æ ZZ* Æ H -1 = 13 TeV, 139 fb s Eur. Phys. J. C 80 (2020) 942 YESTERDAY
A long way since the discovery… Marco Delmastro Twelve years with the Higgs boson 31 PDG 2022
12 years with the Higgs boson, and the next 12+ years… Marco Delmastro Twelve years with the Higgs boson 32 Higgs discovery Run 2 ~140 fb-1 @ 13TeV Run 3 ~150-300 fb-1 @ 13.6TeV expected TODAY COVID Schedules are meant to be adjusted… HL-LHC ~3000 fb-1 @ 14TeV expected
Marco Delmastro Twelve years with the Higgs boson 33 How well do we know the “basic” Higgs properties? 6.
Marco Delmastro Twelve years with the Higgs boson 34 Higgs boson mass and width <latexit sha1_base64="GjAZA3sF3xFCnzOLFd0uDoAcIeU=">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</latexit> V ( ) = µ2 † + ( † )2 <latexit sha1_base64="1fWNXo0BKyAl0MhO6RXZ6twxrvU=">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</latexit> V ( ) = V0 + 1 2 m2 HH2 + ⌫H3 + 1 4 H4 <latexit sha1_base64="w9Fmr3Xsu0VA/q0jNv8I5c43Vqw=">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</latexit> mH = p 2µ = p 2 ⌫ <latexit sha1_base64="z1bzfuT2pOSba8piZGnLZAmf4Ns=">AAACCXicbVC7SgNBFJ2Nrxhfq5Y2g0GwCrsiaiMEbSwjmAdklzA7mU2GzMyu8xDCsq2Nv2JjoYitf2Dn3zhJttDEAxcO59w7c++JUkaV9rxvp7S0vLK6Vl6vbGxube+4u3stlRiJSRMnLJGdCCnCqCBNTTUjnVQSxCNG2tHoeuK3H4hUNBF3epySkKOBoDHFSFup58JAGHgJg1ginAXc5Fmg7qXOAmbf6KM877lVr+ZNAReJX5AqKNDouV9BP8GGE6ExQ0p1fS/VYYakppiRvBIYRVKER2hAupYKxIkKs+klOTyySh/GibQlNJyqvycyxJUa88h2cqSHat6biP95XaPjizCjIjWaCDz7KDYM6gROYoF9KgnWbGwJwpLaXSEeIhuKtuFVbAj+/MmLpHVS889qp7en1fpVEUcZHIBDcAx8cA7q4AY0QBNg8AiewSt4c56cF+fd+Zi1lpxiZh/8gfP5AzLpmrE=</latexit> ⌫ = µ p
How well do we know the Higgs mass? • mH Not predicted by theory • All Higgs coupling properties depend on mH • Excellent measurements by ATLAS and CMS ü Precision depends on energy (photons, electrons) and momentum (muons) calibration Marco Delmastro Twelve years with the Higgs boson 35 110 MeV (0.09%) <latexit sha1_base64="afTg4ohr3jY2DSaxuYm93cEIb/Y=">AAACJnicbVDLSsNAFJ34rPUVdelmsAgupCSlqJtC0U2XFewDmhAm00k7dCaJMxOhhHyNG3/FjYuKiDs/xWnagrYeGDice+5jjh8zKpVlfRlr6xubW9uFneLu3v7BoXl03JZRIjBp4YhFousjSRgNSUtRxUg3FgRxn5GOP7qb1jtPREgahQ9qHBOXo0FIA4qR0pJn1lInH9ITA99N7bKV49JaJlnKvQasQUc+CpVWMujwJMs8s7QwwFWymFYCczQ9c+L0I5xwEirMkJQ924qVmyKhKGYkKzqJJDHCIzQgPU1DxIl00/zCDJ5rpQ+DSOgXKpirvztSxKUcc187OVJDuVybiv/VeokKbtyUhnGiSIhni4KEQRXBaWawTwXBio01QVhQfSvEQyQQVjrZog7BXv7yKmlXyvZVuXpfLdVv53EUwCk4AxfABtegDhqgCVoAg2fwCibg3Xgx3owP43NmXTPmPSfgD4zvH2hxoX4=</latexit> mH = p 2µ ATLAS Run 1: p s = 7-8 TeV, 25 fb°1 , Run 2: p s = 13 TeV, 140 fb°1 Total Stat. Syst. Combination Total Stat. Syst. Run 1 H ! ∞∞ Run 2 H ! ∞∞ Run 1+2 H ! ∞∞ Run 1 H ! 4` Run 2 H ! 4` Run 1+2 H ! 4` Run 1 Combined Run 2 Combined Run 1+2 Combined Phys. Rev. Lett. 131 (2023) 251802
Higgs width: a problem difficult to tackle directly! Marco Delmastro Twelve years with the Higgs boson 36 Total Higgs natural width in SM is small! ü Too small to be accessed experimentally at LHC from resonance line-shape in analysis where peak can be reconstructed… Direct measurement severely limited by detector resolution! One (old) example: ΓH < 2.4 (3.1) GeV obs. (exp.) dominated by <latexit sha1_base64="KkmEo32xE7fu1RPKHaswFM2hYGE=">AAACAXicbVDLSgNBEJyNrxhfUS+Cl8EgeAq7EtRj0IO5CBHNA7JrmJ1MkiEzu8tMrxiW9eKvePGgiFf/wpt/4+Rx0MSChqKqm+4uPxJcg21/W5mFxaXllexqbm19Y3Mrv71T12GsKKvRUISq6RPNBA9YDTgI1owUI9IXrOEPLkZ+454pzcPgFoYR8yTpBbzLKQEjtfN77iWRkrSTSnqXuMAeQMnk5ipN2/mCXbTHwPPEmZICmqLazn+5nZDGkgVABdG65dgReAlRwKlgac6NNYsIHZAeaxkaEMm0l4w/SPGhUTq4GypTAeCx+nsiIVLrofRNpyTQ17PeSPzPa8XQPfMSHkQxsIBOFnVjgSHEozhwhytGQQwNIVRxcyumfaIIBRNazoTgzL48T+rHReekWLouFcrn0ziyaB8doCPkoFNURhVURTVE0SN6Rq/ozXqyXqx362PSmrGmM7voD6zPH0Xrl3A=</latexit> SM H ΓH = 4.07 MeV SM from Run 1 Hà𝛄𝛄 peak Eur. Phys. J. C 74 (2˚014) 3076
g g H Z Z gg ! H ! ZZ: g g H Z Z gg ! H ! ZZ: g g H Z Z gg ! H ! ZZ: g g H Z Z gg ! H ! ZZ: 500 1000 (GeV) ν 2l2 m 7 − 10 6 − 10 5 − 10 4 − 10 3 − 10 2 − 10 1 − 10 1 10 2 10 3 10 4 10 (fb/GeV) ν 2l2 / dm σ d ) 2 SM H signal (|H| ) 2 SM contin. (|C| ) 2 SM total (|H+C| 2 +|C| 2 |H| CMSSimulation 13 TeV ) µ (l=e, ν 2l2 → gg The Higgs boson as propagator: width from off-shell Higgs Marco Delmastro Twelve years with the Higgs boson 37 • Interference impacts both total cross section and m(VV) line-shape • Assuming on-shell and off-shell couplings are equal: ggF as an example <latexit sha1_base64="35EB4L7x+gWe4D86BPECU3LMt90=">AAACR3icbVBNa9swGJbTbc2yL6877iIWBrss2CN0vQxCe9gug5Q2HxBnQVZeNyKSbKTXY8H43/XS6277C7vs0FJ6rJKYdkv2gtDD88ErPXEmhcUg+OXVdh48fLRbf9x48vTZ8xf+y72+TXPDocdTmZphzCxIoaGHAiUMMwNMxRIG8fxoqQ++g7Ei1ae4yGCs2JkWieAMHTXxv0WJYbyIVD4pIoQfaFSRJsl7OwMpy7LcUPSdQD/RKvqZKcXK6r73nnx1ronfDFrBaug2CCvQJNV0J/7PaJryXIFGLpm1ozDIcFwwg4JLKBtRbiFjfM7OYOSgZgrsuFj1UNK3jpnSJDXuaKQr9u9EwZS1CxU7p2I4s5vakvyfNsoxORgXQmc5gubrRUkuKaZ0WSqdCgMc5cIBxo1wb6V8xlw76KpvuBLCzS9vg/6HVrjfah+3m53Dqo46eU3ekHckJB9Jh3whXdIjnJyT3+SSXHkX3h/v2rtZW2telXlF/pmadwuRDrXX</latexit> µo↵-shell µon-shell = SM on-shell vv!H!4` / g2 gluong2 V H <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> o↵-shell vv!H!4` / g2 gluong2 V <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> vv = gg <latexit sha1_base64="lk/UoFiZxdJulev7N5joDqhkknw=">AAAB7nicbVBNS8NAEJ34WetX1aOXxSJ4KkkV9CIUvXisYD+gDWWznaZLN5uwuymU0B/hxYMiXv093vw3btsctPXBwOO9GWbmBYng2rjut7O2vrG5tV3YKe7u7R8clo6OmzpOFcMGi0Ws2gHVKLjEhuFGYDtRSKNAYCsY3c/81hiV5rF8MpME/YiGkg84o8ZKrfGY3JIw7JXKbsWdg6wSLydlyFHvlb66/ZilEUrDBNW647mJ8TOqDGcCp8VuqjGhbERD7FgqaYTaz+bnTsm5VfpkECtb0pC5+nsio5HWkyiwnRE1Q73szcT/vE5qBjd+xmWSGpRssWiQCmJiMvud9LlCZsTEEsoUt7cSNqSKMmMTKtoQvOWXV0mzWvEuK9XHq3LtLo+jAKdwBhfgwTXU4AHq0AAGI3iGV3hzEufFeXc+Fq1rTj5zAn/gfP4AcaWO+w==</latexit> vv = WW, ZZ, Z , <latexit sha1_base64="SvYte+ooWphPJ1xqZFFjf5IxBcw=">AAACC3icbVDLTgIxFO3gC/E16tJNAzFxQcgMmujGhOjGJSbCEGBCOqUDDW1n0nZIyIS9G3/FjQuNcesPuPNvLAwLBU9y25Nz7k17TxAzqrTjfFu5tfWNza38dmFnd2//wD48aqookZg0cMQi2QqQIowK0tBUM9KKJUE8YMQLRrcz3xsTqWgkHvQkJj5HA0FDipE2Us8ujsfwGnpeGbbbproDxDkqw+zOzp5dcirOHHCVuAtSAgvUe/ZXtx/hhBOhMUNKdVwn1n6KpKaYkWmhmygSIzxCA9IxVCBOlJ/Od5nCU6P0YRhJU0LDufp7IkVcqQkPTCdHeqiWvZn4n9dJdHjlp1TEiSYCZw+FCYM6grNgYJ9KgjWbGIKwpOavEA+RRFib+AomBHd55VXSrFbc80r1/qJUu1nEkQcnoAjOgAsuQQ3cgTpoAAwewTN4BW/Wk/VivVsfWWvOWswcgz+wPn8AAZeZKQ==</latexit> g g Z Z gg ! ZZ: arXiv:2202.06923 <latexit sha1_base64="OziqKQ84H1WPJGVHom+THq/cc3A=">AAACFXicbZDLSgMxFIYz9VbrbdSlm2ARKmqZKUVdFl3YZQV7gc60ZNJMDU0yQ5IRytCXcOOruHGhiFvBnW9jello6w+BL/85h+T8Qcyo0o7zbWWWlldW17LruY3Nre0de3evoaJEYlLHEYtkK0CKMCpIXVPNSCuWBPGAkWYwuB7Xmw9EKhqJOz2Mic9RX9CQYqSN1bVPvVAinLqjtMA7JXgGebfaKR0bPIHeDeIcje9Td9S1807RmQgugjuDPJip1rW/vF6EE06Exgwp1XadWPspkppiRkY5L1EkRniA+qRtUCBOlJ9OthrBI+P0YBhJc4SGE/f3RIq4UkMemE6O9L2ar43N/2rtRIeXfkpFnGgi8PShMGFQR3AcEexRSbBmQwMIS2r+CvE9MjFpE2TOhODOr7wIjVLRPS+Wb8v5ytUsjiw4AIegAFxwASqgCmqgDjB4BM/gFbxZT9aL9W59TFsz1mxmH/yR9fkD0HucGQ==</latexit> 1 (m2 m2 H)2 + 2 Hm2 H
0 5 10 15 (MeV) H Γ 0 2 4 6 8 10 12 14 lnL ∆ -2 +4l off-shell + 4l on-shell ν 2l2 off-shell + 4l on-shell ν 2l2 4l off-shell + 4l on-shell Observed Expected CMS (13 TeV) -1 140 fb ≤ 68% CL 95% CL Measurements of the Higgs width from off-shell production Marco Delmastro Twelve years with the Higgs boson 38 Measurements in 4l and 2l2𝝼 final states and for different production modes arXiv:2202.06923 arXiv:2202.06923v1 140 fb-1 on-shell 4l 78 fb-1 off-shell 4l 138 fb-1 off-shell 2l2v ~3 σ evidence for off-shell H production CMS ΓH=3.2 +2.5 MeV -1.7 4l 0 0.5 1 1.5 2 2.5 3 3.5 4 SM H Γ / H Γ 0 2 4 6 8 10 12 14 16 18 20 ) λ -2ln( 0.5 − 0.6 + Obs-Stat. only: 1.1 0.6 − 0.7 + Obs-Sys: 1.1 0.9 − 0.8 + Exp-Stat. only: 1.0 0.9 − 0.9 + Exp-Sys: 1.0 Obs-Stat. only Obs-Sys Exp-Stat. only Exp-Sys ATLAS On + Off-shell combined -1 13 TeV, 139 fb σ 1 σ 2 ATLAS ΓH=4.5 +3.3 MeV -2.5 Phys. Lett. B 846 (2023) 138223
How well will we know the Higgs width? Marco Delmastro Twelve years with the Higgs boson 39 • Combined ATLAS + CMS width sensitivity with 3000 fb-1, based on the off-shell measurement üΓH = 4.1± 0.8 MeV • More conservative assumptions on theoretical uncertainties than Run 2 results – i.e. signal and background k-factors 1 2 3 4 5 6 7 (MeV) H Γ 0 5 10 15 q =0) ai w/ YR18 syst. uncert. (f =0) ai w/ Run 2 syst. uncert. (f =0) ai w/ Stat. uncert. only (f (13 TeV) -1 3000 fb CMS Projection 68% CL 95% CL arXiv:1902.00134 “YR18” systematics: uncertainties reduced wrt Run 2 according to the improvements expected to be reached at the end of HL-LHC e.g. theory uncertainties generally halved. See https://twiki.cern.ch/twiki/bin/view /LHCPhysics/HLHELHCCommon Systematics
Studies of the Higgs CP properties Marco Delmastro Twelve years with the Higgs boson 40 Spin is property of the particle, CP of the coupling… coupling to EW vector bosons H q q q q V V HVV V V H q q HVV H V V HVV g g t̄ H t Htt coupling to fermions H𝜏𝜏 coupling to gluons Hgg H
) P f(J 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 m + 2 gg production h2 + 2 production q q h3 + 2 (gg acceptance) decay-only discriminants h + 2 b + 2 h6 + 2 h7 + 2 h - 2 h9 - 2 h10 - 2 m + 2 h2 + 2 h3 + 2 h + 2 b + 2 h6 + 2 h7 + 2 h - 2 h9 - 2 h10 - 2 m + 2 h2 + 2 h3 + 2 h + 2 b + 2 h6 + 2 h7 + 2 h - 2 h9 - 2 h10 - 2 σ 1 ± Best fit Excluded at 95% CL Expected at 95% CL Expected at 68% CL CMS (7 TeV) -1 (8 TeV) + 5.1 fb -1 19.7 fb ZZ → H SM Higgs spin and CP properties Marco Delmastro Twelve years with the Higgs boson 41 • SM Higgs has spin 0 and positive (even) parity (JCP = 0++) • At the end of Run 1 we knew Higgs had spin 0… ü Spin 1 and 2 hypotheses excluded at > 99.9% CL using Hà𝛄𝛄, HàZZ* and HàWW* *| θ |cos 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Events / 0.1 0 50 100 150 200 250 Expected + = 2 P J Data + = 2 P J Bkg. syst. uncertainty ATLAS -1 L dt = 20.7 fb ∫ = 8 TeV s γ γ → H =0%) q q (f γγ polar angle θ* with respect to Z-axis in Collins-Soper frame Phys. Lett. B 726 (2013) 120 Phys. Rev. D 92 (2015) 012004 Example: J=2 model exclusions with HàZZ *| θ |cos 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Events / 0.1 0 50 100 150 200 250 Expected + = 0 P J Data + = 0 P J Bkg. syst. uncertainty ATLAS -1 L dt = 20.7 fb ∫ = 8 TeV s γ γ → H Example: Hà𝛄𝛄 spin analysis
1.5 − 1 − 0.5 − 0 0.5 1 1.5 2 ) α cos( t κ 2 − 1.5 − 1 − 0.5 − 0 0.5 1 1.5 2 ) α sin( t κ ATLAS -1 = 13 TeV, 139 fb s Best fit SM σ 1 σ 2 σ 3 1 − 0.5 − 0 0.5 1 1.5 t κ 1.5 − 1 − 0.5 − 0 0.5 1 1.5 t κ ∼ 68% CL 95% CL Best fit SM expected CMS (13 TeV) -1 138 fb Multilepton → H /ZZ γ γ → H /ZZ γ γ Multilepton/ → H CP properties of Higgs-top coupling with ttH Marco Delmastro Twelve years with the Higgs boson 42 Effective Lagrangian forYukawa coupling to top quarks parameterized by CP-Even and CP-odd components Two examples: JHEP 07 (2023) 092 g g t̄ H t Htt Phys. Rev. Lett. 125 (2020) 061802 ATLAS ttH Hà𝛄𝛄 pure CP-odd coupling excluded at 3.9σ CMS ttH HàML + Hà𝛄𝛄 +HàZZ pure CP-odd coupling excluded at 3.7σ |α| > 43 deg excluded @ 95% CL. |𝑓𝐻𝑡𝑡| = 0.28 (< 0.55 at 1σ) |𝑓𝐻𝑡𝑡| = (sin α)2
Marco Delmastro Twelve years with the Higgs boson 43 How well do we know the Higgs couplings? 7.
Couplings to… Marco Delmastro Twelve years with the Higgs boson 44 … gauge bosons … fermions
STXS: Simplified Template Cross Sections Marco Delmastro Twelve years with the Higgs boson 45 • Cross sections per production mode in different regions of phase space ü Reduce dependency on theory ü Allow MVA analysis ü Exploit sensitivity of each channel specific region of phase space (designed for combination) ü Inclusive in decays (for now) ü Binning defined to allow better estimate of theoretical uncertainties, and easier merging when insufficient experimental sensitivity ü Largely model-independent approach to test for BSM deviations in kinematic distributions Stage 1.2 = 0-jet pHjj T ≥ 2-jet mjj [350, ∞] ≃ 2-jet ! 3-jet ! 3-jet ≃ 2-jet pH T 0 10 350 700 1000 mjj 1500 ∞ mjj [0, 350] 200 120 60 0 pH T = 1-jet pH T [0, 200] 0 ∞ 25 ∞ 0 25 gg →H pH T [200, ∞] 300 200 pH T ∞ 650 450 0.15 pHj T /pH T ! 3-jet ≃ 2-jet ! 3-jet ≃ 2-jet pHjj T pH T [0, 200] 0 25 ∞ mjj [0, 350] 0 25 ∞ pHjj T 0 60 mjj 120 350 mjj [350, ∞] EW qqH = VBF+V (→qq)H mjj 350 700 1000 1500 ∞ pH T [200, ∞] 0 25 ∞ ≥ 2-jet Stage 1.2 = 0-jet = 1-jet qq̄′ → W H 0-jet 1-jet ≥ 2-jet gg → ZH 0-jet 1-jet ≥ 2-jet qq̄ → ZH 0-jet 1-jet ≥ 2-jet V H = V (→ leptons)H 75 0 150 250 400 ∞ pV T Stage 1.2 Stage 1.2 tt̄H pH T 0 60 120 200 300 450 ∞
2 − 10 1 − 10 1 10 2 10 (fb) Β obs σ Observed syst) ⊕ (stat σ 1 ± (syst) σ 1 ± SM prediction 4.0 − 3.9 + 9.4 7 − 8 + 58 5 − 6 + 13 3 − 3 + 14 0.9 − 0.9 + 2.6 3.6 − 3.6 + 3.7 0.00 − 2.72 + 0.00 0.62 − 1.06 + 0.62 0.4 − 0.5 + 1.1 0.16 − 0.19 + 0.16 0.08 − 0.10 + 0.10 1.1 − 1.2 + 1.3 1.6 − 1.8 + 3.5 0.63 − 0.64 + 0.97 0.15 − 1.08 + 0.15 1.2 − 1.2 + 1.5 0.22 − 0.24 + 0.51 0.54 − 0.68 + 0.71 0.32 − 0.37 + 0.44 0.09 − 0.12 + 0.12 0.35 − 0.41 + 0.71 0.19 − 0.24 + 0.19 0.22 − 0.26 + 0.50 0.14 − 0.17 + 0.24 0.09 − 0.11 + 0.11 0.00 − 0.08 + 0.00 0.9 − 0.7 + 1.7 | < 2.5 H , |y γ γ → H STXS stage 1.2: minimal = 70% SM p = 125.38 GeV, H m H T ggH 0J low p H T ggH 0J high p H T ggH 1J low p H T ggH 1J med p H T ggH 1J high p H T 2J low p ≥ ggH H T 2J med p ≥ ggH H T 2J high p ≥ ggH < 300 H T ggH BSM 200 < p < 450 H T ggH BSM 300 < p > 450 H T ggH BSM p Hjj T p low jj VBF-like low m Hjj T p high jj VBF-like low m Hjj T p low jj VBF-like high m Hjj T p high jj VBF-like high m qqH VH-like qqH BSM < 75 V T WH lep p < 150 V T WH lep 75 < p > 150 V T WH lep p ZH lep < 60 H T ttH p < 120 H T ttH 60 < p < 200 H T ttH 120 < p < 300 H T ttH 200 < p > 300 H T ttH p tH 0 0.5 1 1.5 2 2.5 Ratio to SM 0 2 4 6 8 10 CMS (13 TeV) -1 137 fb STXS at work: H → 𝛄𝛄 Marco Delmastro Twelve years with the Higgs boson 46 JHEP 07 (2023) 088 JHEP 07 (2021) 027 2 − 0 2 4 6 8 10 SM ) γ γ B ⋅ σ )/( γ γ B ⋅ σ ( tH 300 ≥ H T ttH, p < 300 H T p ≤ ttH, 200 < 200 H T p ≤ ttH, 120 < 120 H T p ≤ ttH, 60 < 60 H T ttH, p 150 ≥ V t , p ν ν Hll/ → pp < 150 V t , p ν ν Hll/ → pp 150 ≥ V t , p ν Hl → qq < 150 V t , p ν Hl → qq 200 ≥ H T 1000, p ≥ jj 2-jets, m ≥ Hqq', → qq' 200 ≥ H T < 1000, p jj m ≤ 2-jets, 350 ≥ Hqq', → qq' < 200 H T 1000, p ≥ jj 2-jets, m ≥ Hqq', → qq' < 200 H T < 1000, p jj m ≤ 2-jets, 700 ≥ Hqq', → qq' < 200 H T < 700, p jj m ≤ 2-jets, 350 ≥ Hqq', → qq' 2-jets, VH-had ≥ Hqq', → qq' 1-jet and VH-Veto ≤ Hqq', → qq' 450 ≥ H T H, p → gg < 450 H T p ≤ H, 300 → gg < 300 H T p ≤ H, 200 → gg < 200 H T 350, p ≥ jj 2-jets, m ≥ H, → gg < 200 H T p ≤ < 350, 120 jj 2-jets, m ≥ H, → gg < 120 H T < 350, p jj 2-jets, m ≥ H, → gg < 200 H T p ≤ H, 1-jet, 120 → gg < 120 H T p ≤ H, 1-jet, 60 → gg < 60 H T H, 1-jet, p → gg < 200 H T p ≤ H, 0-jet, 10 → gg < 10 H T H, 0-jet, p → gg 1 − 0 1 2 3 4 5 6 ATLAS -1 =13 TeV, 139 fb s |<2.5 H = 125.09 GeV |y H m γ γ → H p-value = 93% Obs + Tot. Unc. Syst. unc. SM + Theo. unc. Tot. Stat. Syst. 3 − 4 + 2 3 − 4 + 1 − 1 + ( ) 0.7 − 0.9 + 1.1 0.7 − 0.9 + 0.1 − 0.2 + ( ) 0.6 − 0.8 + 1.2 0.6 − 0.8 + 0.1 − 0.1 + ( ) 0.5 − 0.6 + 0.6 0.5 − 0.6 + 0.1 − 0.1 + ( ) 0.5 − 0.6 + 0.8 0.5 − 0.6 + 0.0 − 0.1 + ( ) 0.7 − 0.8 + 0.8 0.7 − 0.8 + 0.1 − 0.1 + ( ) 0.9 − 1.1 + 0.4 0.9 − 1.1 + 0.2 − 0.2 + ( ) 0.2 − 0.9 + -0.6 0.2 − 0.9 + 0.0 − 0.1 + ( ) 0.9 − 1.1 + 1.6 0.9 − 1.1 + 0.1 − 0.1 + ( ) 0.7 − 0.8 + 1.8 0.7 − 0.8 + 0.1 − 0.2 + ( ) 0.5 − 0.6 + 1.6 0.5 − 0.6 + 0.2 − 0.3 + ( ) 0.6 − 0.7 + 0.2 0.6 − 0.7 + 0.1 − 0.1 + ( ) 0.35 − 0.43 + 1.19 0.30 − 0.33 + 0.19 − 0.28 + ( ) 0.6 − 0.8 + 1.4 0.6 − 0.7 + 0.2 − 0.4 + ( ) 0.6 − 0.8 + 1.2 0.5 − 0.6 + 0.2 − 0.5 + ( ) 0.6 − 0.7 + 0.2 0.6 − 0.7 + 0.1 − 0.1 + ( ) 0.8 − 0.9 + 0.9 0.8 − 0.8 + 0.2 − 0.3 + ( ) 1.1 − 1.4 + 2.1 1.1 − 1.4 + 0.2 − 0.4 + ( ) 0.5 − 0.5 + 0.2 0.4 − 0.5 + 0.1 − 0.1 + ( ) 0.4 − 0.4 + 1.6 0.4 − 0.4 + 0.1 − 0.2 + ( ) 0.9 − 0.9 + 1.0 0.8 − 0.8 + 0.4 − 0.3 + ( ) 0.5 − 0.5 + 1.3 0.4 − 0.5 + 0.1 − 0.1 + ( ) 0.5 − 0.5 + 0.6 0.5 − 0.5 + 0.1 − 0.2 + ( ) 0.5 − 0.5 + 1.0 0.5 − 0.5 + 0.1 − 0.2 + ( ) 0.34 − 0.38 + 1.11 0.30 − 0.30 + 0.16 − 0.22 + ( ) 0.35 − 0.36 + 1.07 0.34 − 0.34 + 0.11 − 0.14 + ( ) 0.17 − 0.18 + 1.23 0.15 − 0.15 + 0.09 − 0.10 + ( ) 0.27 − 0.28 + 0.67 0.25 − 0.25 + 0.10 − 0.13 + ( )
2 − 10 1 − 10 1 10 2 10 (fb) Β obs σ Observed syst) ⊕ (stat σ 1 ± (syst) σ 1 ± SM prediction 4.0 − 3.9 + 9.4 7 − 8 + 58 5 − 6 + 13 3 − 3 + 14 0.9 − 0.9 + 2.6 3.6 − 3.6 + 3.7 0.00 − 2.72 + 0.00 0.62 − 1.06 + 0.62 0.4 − 0.5 + 1.1 0.16 − 0.19 + 0.16 0.08 − 0.10 + 0.10 1.1 − 1.2 + 1.3 1.6 − 1.8 + 3.5 0.63 − 0.64 + 0.97 0.15 − 1.08 + 0.15 1.2 − 1.2 + 1.5 0.22 − 0.24 + 0.51 0.54 − 0.68 + 0.71 0.32 − 0.37 + 0.44 0.09 − 0.12 + 0.12 0.35 − 0.41 + 0.71 0.19 − 0.24 + 0.19 0.22 − 0.26 + 0.50 0.14 − 0.17 + 0.24 0.09 − 0.11 + 0.11 0.00 − 0.08 + 0.00 0.9 − 0.7 + 1.7 | < 2.5 H , |y γ γ → H STXS stage 1.2: minimal = 70% SM p = 125.38 GeV, H m H T ggH 0J low p H T ggH 0J high p H T ggH 1J low p H T ggH 1J med p H T ggH 1J high p H T 2J low p ≥ ggH H T 2J med p ≥ ggH H T 2J high p ≥ ggH < 300 H T ggH BSM 200 < p < 450 H T ggH BSM 300 < p > 450 H T ggH BSM p Hjj T p low jj VBF-like low m Hjj T p high jj VBF-like low m Hjj T p low jj VBF-like high m Hjj T p high jj VBF-like high m qqH VH-like qqH BSM < 75 V T WH lep p < 150 V T WH lep 75 < p > 150 V T WH lep p ZH lep < 60 H T ttH p < 120 H T ttH 60 < p < 200 H T ttH 120 < p < 300 H T ttH 200 < p > 300 H T ttH p tH 0 0.5 1 1.5 2 2.5 Ratio to SM 0 2 4 6 8 10 CMS (13 TeV) -1 137 fb STXS at work: H → 𝛄𝛄 Marco Delmastro Twelve years with the Higgs boson 47 arXiv:2207.00348 JHEP 07 (2021) 027 2 − 0 2 4 6 8 10 SM ) γ γ B ⋅ σ )/( γ γ B ⋅ σ ( tH 300 ≥ H T ttH, p < 300 H T p ≤ ttH, 200 < 200 H T p ≤ ttH, 120 < 120 H T p ≤ ttH, 60 < 60 H T ttH, p 150 ≥ V t , p ν ν Hll/ → pp < 150 V t , p ν ν Hll/ → pp 150 ≥ V t , p ν Hl → qq < 150 V t , p ν Hl → qq 200 ≥ H T 1000, p ≥ jj 2-jets, m ≥ Hqq', → qq' 200 ≥ H T < 1000, p jj m ≤ 2-jets, 350 ≥ Hqq', → qq' < 200 H T 1000, p ≥ jj 2-jets, m ≥ Hqq', → qq' < 200 H T < 1000, p jj m ≤ 2-jets, 700 ≥ Hqq', → qq' < 200 H T < 700, p jj m ≤ 2-jets, 350 ≥ Hqq', → qq' 2-jets, VH-had ≥ Hqq', → qq' 1-jet and VH-Veto ≤ Hqq', → qq' 450 ≥ H T H, p → gg < 450 H T p ≤ H, 300 → gg < 300 H T p ≤ H, 200 → gg < 200 H T 350, p ≥ jj 2-jets, m ≥ H, → gg < 200 H T p ≤ < 350, 120 jj 2-jets, m ≥ H, → gg < 120 H T < 350, p jj 2-jets, m ≥ H, → gg < 200 H T p ≤ H, 1-jet, 120 → gg < 120 H T p ≤ H, 1-jet, 60 → gg < 60 H T H, 1-jet, p → gg < 200 H T p ≤ H, 0-jet, 10 → gg < 10 H T H, 0-jet, p → gg 1 − 0 1 2 3 4 5 6 ATLAS -1 =13 TeV, 139 fb s |<2.5 H = 125.09 GeV |y H m γ γ → H p-value = 93% Obs + Tot. Unc. Syst. unc. SM + Theo. unc. Tot. Stat. Syst. 3 − 4 + 2 3 − 4 + 1 − 1 + ( ) 0.7 − 0.9 + 1.1 0.7 − 0.9 + 0.1 − 0.2 + ( ) 0.6 − 0.8 + 1.2 0.6 − 0.8 + 0.1 − 0.1 + ( ) 0.5 − 0.6 + 0.6 0.5 − 0.6 + 0.1 − 0.1 + ( ) 0.5 − 0.6 + 0.8 0.5 − 0.6 + 0.0 − 0.1 + ( ) 0.7 − 0.8 + 0.8 0.7 − 0.8 + 0.1 − 0.1 + ( ) 0.9 − 1.1 + 0.4 0.9 − 1.1 + 0.2 − 0.2 + ( ) 0.2 − 0.9 + -0.6 0.2 − 0.9 + 0.0 − 0.1 + ( ) 0.9 − 1.1 + 1.6 0.9 − 1.1 + 0.1 − 0.1 + ( ) 0.7 − 0.8 + 1.8 0.7 − 0.8 + 0.1 − 0.2 + ( ) 0.5 − 0.6 + 1.6 0.5 − 0.6 + 0.2 − 0.3 + ( ) 0.6 − 0.7 + 0.2 0.6 − 0.7 + 0.1 − 0.1 + ( ) 0.35 − 0.43 + 1.19 0.30 − 0.33 + 0.19 − 0.28 + ( ) 0.6 − 0.8 + 1.4 0.6 − 0.7 + 0.2 − 0.4 + ( ) 0.6 − 0.8 + 1.2 0.5 − 0.6 + 0.2 − 0.5 + ( ) 0.6 − 0.7 + 0.2 0.6 − 0.7 + 0.1 − 0.1 + ( ) 0.8 − 0.9 + 0.9 0.8 − 0.8 + 0.2 − 0.3 + ( ) 1.1 − 1.4 + 2.1 1.1 − 1.4 + 0.2 − 0.4 + ( ) 0.5 − 0.5 + 0.2 0.4 − 0.5 + 0.1 − 0.1 + ( ) 0.4 − 0.4 + 1.6 0.4 − 0.4 + 0.1 − 0.2 + ( ) 0.9 − 0.9 + 1.0 0.8 − 0.8 + 0.4 − 0.3 + ( ) 0.5 − 0.5 + 1.3 0.4 − 0.5 + 0.1 − 0.1 + ( ) 0.5 − 0.5 + 0.6 0.5 − 0.5 + 0.1 − 0.2 + ( ) 0.5 − 0.5 + 1.0 0.5 − 0.5 + 0.1 − 0.2 + ( ) 0.34 − 0.38 + 1.11 0.30 − 0.30 + 0.16 − 0.22 + ( ) 0.35 − 0.36 + 1.07 0.34 − 0.34 + 0.11 − 0.14 + ( ) 0.17 − 0.18 + 1.23 0.15 − 0.15 + 0.09 − 0.10 + ( ) 0.27 − 0.28 + 0.67 0.25 − 0.25 + 0.10 − 0.13 + ( ) • Differential measurement of pT H in ttH SM prediction 0.16 − 0.19 + 0.16 0.08 − 0.10 + 0.10 1.1 − 1.2 + 1.3 0.63 − 0.64 + 0.97 0.15 − 1.08 + 0.15 1.2 − 1.5 0.22 − 0.24 + 0.51 0.54 − 0.68 + 0.71 0.32 − 0.37 + 0.44 0.09 − 0.12 + 0.12 0.35 − 0.41 + 0.71 0.19 − 0.24 + 0.19 0.22 − 0.26 + 0.50 0.14 − 0.17 + 0.24 0.09 − 0.11 + 0.11 0.00 − 0.08 + 0.00 0.9 − 0.7 + 1.7 < 450 H T H BSM 300 < p > 450 H T ggH BSM p Hjj T p low jj VBF-like low m Hjj T p high jj BF-like low m Hjj T p low jj BF-like high m Hjj T p high jj BF-like high m qqH VH-like qqH BSM < 75 V T WH lep p < 150 V T WH lep 75 < p > 150 V T WH lep p ZH lep < 60 H T ttH p < 120 H T ttH 60 < p < 200 H T ttH 120 < p < 300 H T ttH 200 < p > 300 H T ttH p tH 0 2 4 6 8 10
2 − 10 1 − 10 1 10 2 10 (fb) Β obs σ Observed syst) ⊕ (stat σ 1 ± (syst) σ 1 ± SM prediction 4.0 − 3.9 + 9.4 7 − 8 + 58 5 − 6 + 13 3 − 3 + 14 0.9 − 0.9 + 2.6 3.6 − 3.6 + 3.7 0.00 − 2.72 + 0.00 0.62 − 1.06 + 0.62 0.4 − 0.5 + 1.1 0.16 − 0.19 + 0.16 0.08 − 0.10 + 0.10 1.1 − 1.2 + 1.3 1.6 − 1.8 + 3.5 0.63 − 0.64 + 0.97 0.15 − 1.08 + 0.15 1.2 − 1.2 + 1.5 0.22 − 0.24 + 0.51 0.54 − 0.68 + 0.71 0.32 − 0.37 + 0.44 0.09 − 0.12 + 0.12 0.35 − 0.41 + 0.71 0.19 − 0.24 + 0.19 0.22 − 0.26 + 0.50 0.14 − 0.17 + 0.24 0.09 − 0.11 + 0.11 0.00 − 0.08 + 0.00 0.9 − 0.7 + 1.7 | < 2.5 H , |y γ γ → H STXS stage 1.2: minimal = 70% SM p = 125.38 GeV, H m H T ggH 0J low p H T ggH 0J high p H T ggH 1J low p H T ggH 1J med p H T ggH 1J high p H T 2J low p ≥ ggH H T 2J med p ≥ ggH H T 2J high p ≥ ggH < 300 H T ggH BSM 200 < p < 450 H T ggH BSM 300 < p > 450 H T ggH BSM p Hjj T p low jj VBF-like low m Hjj T p high jj VBF-like low m Hjj T p low jj VBF-like high m Hjj T p high jj VBF-like high m qqH VH-like qqH BSM < 75 V T WH lep p < 150 V T WH lep 75 < p > 150 V T WH lep p ZH lep < 60 H T ttH p < 120 H T ttH 60 < p < 200 H T ttH 120 < p < 300 H T ttH 200 < p > 300 H T ttH p tH 0 0.5 1 1.5 2 2.5 Ratio to SM 0 2 4 6 8 10 CMS (13 TeV) -1 137 fb STXS at work: H → 𝛄𝛄 Marco Delmastro Twelve years with the Higgs boson 48 arXiv:2207.00348 JHEP 07 (2021) 027 2 − 0 2 4 6 8 10 SM ) γ γ B ⋅ σ )/( γ γ B ⋅ σ ( tH 300 ≥ H T ttH, p < 300 H T p ≤ ttH, 200 < 200 H T p ≤ ttH, 120 < 120 H T p ≤ ttH, 60 < 60 H T ttH, p 150 ≥ V t , p ν ν Hll/ → pp < 150 V t , p ν ν Hll/ → pp 150 ≥ V t , p ν Hl → qq < 150 V t , p ν Hl → qq 200 ≥ H T 1000, p ≥ jj 2-jets, m ≥ Hqq', → qq' 200 ≥ H T < 1000, p jj m ≤ 2-jets, 350 ≥ Hqq', → qq' < 200 H T 1000, p ≥ jj 2-jets, m ≥ Hqq', → qq' < 200 H T < 1000, p jj m ≤ 2-jets, 700 ≥ Hqq', → qq' < 200 H T < 700, p jj m ≤ 2-jets, 350 ≥ Hqq', → qq' 2-jets, VH-had ≥ Hqq', → qq' 1-jet and VH-Veto ≤ Hqq', → qq' 450 ≥ H T H, p → gg < 450 H T p ≤ H, 300 → gg < 300 H T p ≤ H, 200 → gg < 200 H T 350, p ≥ jj 2-jets, m ≥ H, → gg < 200 H T p ≤ < 350, 120 jj 2-jets, m ≥ H, → gg < 120 H T < 350, p jj 2-jets, m ≥ H, → gg < 200 H T p ≤ H, 1-jet, 120 → gg < 120 H T p ≤ H, 1-jet, 60 → gg < 60 H T H, 1-jet, p → gg < 200 H T p ≤ H, 0-jet, 10 → gg < 10 H T H, 0-jet, p → gg 1 − 0 1 2 3 4 5 6 ATLAS -1 =13 TeV, 139 fb s |<2.5 H = 125.09 GeV |y H m γ γ → H p-value = 93% Obs + Tot. Unc. Syst. unc. SM + Theo. unc. Tot. Stat. Syst. 3 − 4 + 2 3 − 4 + 1 − 1 + ( ) 0.7 − 0.9 + 1.1 0.7 − 0.9 + 0.1 − 0.2 + ( ) 0.6 − 0.8 + 1.2 0.6 − 0.8 + 0.1 − 0.1 + ( ) 0.5 − 0.6 + 0.6 0.5 − 0.6 + 0.1 − 0.1 + ( ) 0.5 − 0.6 + 0.8 0.5 − 0.6 + 0.0 − 0.1 + ( ) 0.7 − 0.8 + 0.8 0.7 − 0.8 + 0.1 − 0.1 + ( ) 0.9 − 1.1 + 0.4 0.9 − 1.1 + 0.2 − 0.2 + ( ) 0.2 − 0.9 + -0.6 0.2 − 0.9 + 0.0 − 0.1 + ( ) 0.9 − 1.1 + 1.6 0.9 − 1.1 + 0.1 − 0.1 + ( ) 0.7 − 0.8 + 1.8 0.7 − 0.8 + 0.1 − 0.2 + ( ) 0.5 − 0.6 + 1.6 0.5 − 0.6 + 0.2 − 0.3 + ( ) 0.6 − 0.7 + 0.2 0.6 − 0.7 + 0.1 − 0.1 + ( ) 0.35 − 0.43 + 1.19 0.30 − 0.33 + 0.19 − 0.28 + ( ) 0.6 − 0.8 + 1.4 0.6 − 0.7 + 0.2 − 0.4 + ( ) 0.6 − 0.8 + 1.2 0.5 − 0.6 + 0.2 − 0.5 + ( ) 0.6 − 0.7 + 0.2 0.6 − 0.7 + 0.1 − 0.1 + ( ) 0.8 − 0.9 + 0.9 0.8 − 0.8 + 0.2 − 0.3 + ( ) 1.1 − 1.4 + 2.1 1.1 − 1.4 + 0.2 − 0.4 + ( ) 0.5 − 0.5 + 0.2 0.4 − 0.5 + 0.1 − 0.1 + ( ) 0.4 − 0.4 + 1.6 0.4 − 0.4 + 0.1 − 0.2 + ( ) 0.9 − 0.9 + 1.0 0.8 − 0.8 + 0.4 − 0.3 + ( ) 0.5 − 0.5 + 1.3 0.4 − 0.5 + 0.1 − 0.1 + ( ) 0.5 − 0.5 + 0.6 0.5 − 0.5 + 0.1 − 0.2 + ( ) 0.5 − 0.5 + 1.0 0.5 − 0.5 + 0.1 − 0.2 + ( ) 0.34 − 0.38 + 1.11 0.30 − 0.30 + 0.16 − 0.22 + ( ) 0.35 − 0.36 + 1.07 0.34 − 0.34 + 0.11 − 0.14 + ( ) 0.17 − 0.18 + 1.23 0.15 − 0.15 + 0.09 − 0.10 + ( ) 0.27 − 0.28 + 0.67 0.25 − 0.25 + 0.10 − 0.13 + ( ) • Closing in on tH production ü ~10 ⨉ σtH SM excluded at 95% CL
H → 𝛄𝛄 as an example: Run 2 vs HL-LHC • While STXS measurement remains main current goal, traditional “production-mode” results (a.k.a. “Stage 0” STXS) still measured by more powerful decay channels and in combination • Already at Run 2 some measurement limited by systematics: more and more true in the future! Marco Delmastro Twelve years with the Higgs boson 49 0.8 0.9 1 1.1 1.2 1.3 1.4 SM x B) σ x B) / ( σ ( 0.5 − 5.2 Total Stat Syst SM ATLAS Preliminary -1 = 14 TeV, 3000 fb s |<2.5 H , |y γ γ → H Total Stat. Syst. top 0.06 ) ± 0.05 , ± ( - 0.07 + 0.08 1.00 VH ) - 0.04 + 0.05 0.08 , ± 0.09 ( ± 1.00 VBF 0.08 ) ± 0.04 , ± ( - 0.09 + 0.10 1.00 ggF+bbH 0.03 ) ± 0.02 , ± 0.04 ( ± 1.00 Projection from Run 2 data arXiv:1902.00134 2 − 1 − 0 1 2 3 4 5 6 SM H σ / H σ Total Stat. Syst. SM Preliminary ATLAS -1 = 13 TeV, 139 fb s = 125.09 GeV H , m γ γ → H Total Stat. Syst. ggF + bbH ) 0.06 0.07 ± 0.08 , ± 0.11 ( ± 1.02 VBF ) 0.16 0.18 ± 0.18 , ± ( 0.24 0.26 ± 1.34 WH ) 0.10 0.13 ± , 0.49 0.53 ± ( 0.50 0.55 ± 2.33 ZH ) 0.08 0.07 ± , 0.56 0.61 ± ( 0.57 0.61 ± -0.64 ttH + tH ) 0.07 0.09 ± , 0.23 0.25 ± ( 0.24 0.27 ± 0.92 ATLAS-CONF-2020-026
Marco Delmastro Twelve years with the Higgs boson 50 zoom on Higgs coupling to fermions PDG 2012 PDG 2022 8.
Why is Yukawa interaction important? Marco Delmastro Twelve years with the Higgs boson 51 • Why is elementary mass important? Two ideas… ü Mass of quark u and d is responsible for difference of mass between neutron and proton, thus of proton stability, thus of existence of hydrogen atoms… ü Mass of electron determines Bohr radius, thus dimensions of atoms, thus all chemistry… In SMYukawa interaction between Higgs and fermions gives fermions their mass… <latexit sha1_base64="fhpCNAEU04Zb3fp5Aqq9LOaPNAo=">AAACCXicbVC7TsMwFHV4lvIKMLJYVEgsVElVAQtSBQtjkehDaqLKcZ3Wqu0E20GKoqws/AoLAwix8gds/A1umwFajnSl43Pule89Qcyo0o7zbS0tr6yurZc2yptb2zu79t5+W0WJxKSFIxbJboAUYVSQlqaakW4sCeIBI51gfD3xOw9EKhqJO53GxOdoKGhIMdJG6tuQ9ym8hKfQCyXCWWpenkjyzFP3Ume1PO/bFafqTAEXiVuQCijQ7Ntf3iDCCSdCY4aU6rlOrP0MSU0xI3nZSxSJER6jIekZKhAnys+ml+Tw2CgDGEbSlNBwqv6eyBBXKuWB6eRIj9S8NxH/83qJDi/8jIo40UTg2UdhwqCO4CQWOKCSYM1SQxCW1OwK8QiZSLQJr2xCcOdPXiTtWtU9q9Zv65XGVRFHCRyCI3ACXHAOGuAGNEELYPAInsEreLOerBfr3fqYtS5ZxcwB+APr8wfDOJnL</latexit> mi = yi⌫ p 2 <latexit sha1_base64="z1bzfuT2pOSba8piZGnLZAmf4Ns=">AAACCXicbVC7SgNBFJ2Nrxhfq5Y2g0GwCrsiaiMEbSwjmAdklzA7mU2GzMyu8xDCsq2Nv2JjoYitf2Dn3zhJttDEAxcO59w7c++JUkaV9rxvp7S0vLK6Vl6vbGxube+4u3stlRiJSRMnLJGdCCnCqCBNTTUjnVQSxCNG2tHoeuK3H4hUNBF3epySkKOBoDHFSFup58JAGHgJg1ginAXc5Fmg7qXOAmbf6KM877lVr+ZNAReJX5AqKNDouV9BP8GGE6ExQ0p1fS/VYYakppiRvBIYRVKER2hAupYKxIkKs+klOTyySh/GibQlNJyqvycyxJUa88h2cqSHat6biP95XaPjizCjIjWaCDz7KDYM6gROYoF9KgnWbGwJwpLaXSEeIhuKtuFVbAj+/MmLpHVS889qp7en1fpVEUcZHIBDcAx8cA7q4AY0QBNg8AiewSt4c56cF+fd+Zi1lpxiZh/8gfP5AzLpmrE=</latexit> ⌫ = µ p
6 8 10 12 14 16 [TeV] s 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 H) [pb] t t Æ (pp σ ATLAS Theory (NLO QCD + NLO EW) Combined data Stat. only Total 1 − 0 1 2 3 4 5 6 7 H t t µ Combined 13 TeV 7+8 TeV ) b H(b t t ) - τ + τ H( t t ) γ γ H( t t H(ZZ*) t t H(WW*) t t (13 TeV) -1 (8 TeV) + 35.9 fb -1 (7 TeV) + 19.7 fb -1 5.1 fb CMS Observed syst) ⊕ (stat σ 1 ± (syst) σ 1 ± syst) ⊕ (stat σ 2 ± Coupling to top quark: direct observation of ttH in 2018! Marco Delmastro Twelve years with the Higgs boson 52 Probing Higgs Couplings at the LHC 4 The Higgs boson at the LHC. Higgs boson production g g H t q H q q q V H V q q̄ V g g H t t̄ Main production channel 2 forward jets, little hadronic activity in between Tag W and Z leptonic and hadronic decays Tag 2 top quarks Higgs boson decays [GeV] H M 100 120 140 160 180 200 Higgs BR + Total Uncert -3 10 -2 10 -1 10 1 LHC HIGGS XS WG 2011 b b τ τ c c gg γ γ γ Z WW ZZ 5 main decay channels at LHC Decay branching fractions @ mH = 125 GeV H ! bb̄ 57.7% H ! W W ⇤ 21.5% H ! ⌧⌧ 6.3% H ! ZZ⇤ 2.6% H ! 0.23% () Oct 28, 2014 6 / 29 [GeV] H M 80 100 120 140 160 180 200 Higgs BR + Total Uncert -4 10 -3 10 -2 10 -1 10 1 LHC HIGGS XS WG 2013 b b τ τ µ µ c c gg γ γ γ Z WW ZZ • H→bb: 58 % • H→WW*: 21% • H→τ+τ-: 6.3% • H→ZZ*: 2.6% • H→γγ: 0.23% 5 key decay channels Decay branching fractions for mH = 125 GeV Tag 2 top quarks Main production channel: gluon- gluon fusion 2 forward jets, little central hadronic activity Tag W and Z decays 6.9M 3.8 pb 520k 2.3 pb 320k 0.5 pb 70k 49 pb 4 main production modes σ [pb] #Higgs produced during Run-2 yt Probing Higgs Couplings at the LHC 4 The Higgs boson at the LHC. Higgs boson production g g H t q H q q q V H V q q̄ V g g H t t̄ Main production channel 2 forward jets, little hadronic activity in between Tag W and Z leptonic and hadronic decays Tag 2 top quarks Higgs boson decays [GeV] H M 100 120 140 160 180 200 Higgs BR + Total Uncert -3 10 -2 10 -1 10 1 LHC HIGGS XS WG 2011 b b τ τ c c gg γ γ γ Z WW ZZ 5 main decay channels at LHC Decay branching fractions @ mH = 125 GeV H ! bb̄ 57.7% H ! W W ⇤ 21.5% H ! ⌧⌧ 6.3% H ! ZZ⇤ 2.6% H ! 0.23% () Oct 28, 2014 6 / 29 [GeV] H M 80 100 120 140 160 180 200 Higgs BR + Total Uncert -4 10 -3 10 -2 10 -1 10 1 LHC HIGGS XS WG 2013 b b τ τ µ µ c c gg γ γ γ Z WW ZZ • H→bb: 58 % • H→WW*: 21% • H→τ+τ-: 6.3% • H→ZZ*: 2.6% • H→γγ: 0.23% 5 key decay channels Decay branching fractions for mH = 125 GeV Tag 2 top quarks Main production channel: gluon- gluon fusion 2 forward jets, little central hadronic activity Tag W and Z decays 6.9M 3.8 pb 520k 2.3 pb 320k 0.5 pb 70k 49 pb 4 main production modes σ [pb] #Higgs produced during Run-2 yt arXiv:1804.02610 CMS (Run 1 + 36 fb-1 Run 2): 5.2 σ (4.2 σ exp) arXiv:1806.00425 ATLAS: (Run 1 + 36-80 fb-1 Run 2): 6.3 σ (5.1 σ exp)
Marco Delmastro Twelve years with the Higgs boson 53
m(jj) [GeV] 60 80 100 120 140 160 S/(S+B) weighted entries 0 500 1000 Data b b → VH,H b b → VZ,Z S+B uncertainty CMS (13 TeV) -1 77.2 fb Coupling to bottom quark: observation of VH/Hàbb in 2018! • Difficult channel despite large BR(58%) due to large backgrounds ü VH production most sensitive à Observation in 2018! • ATLAS: 5.4σ (5.5σ) • CMS: 5.5σ (5.6σ) Marco Delmastro Twelve years with the Higgs boson 54 µ Best fit 0 1 2 3 4 5 6 7 8 9 Combined ZH WH ttH VBF ggF stat syst 0.14 ± 0.14 ± 1.04 0.16 ± 0.24 ± 0.88 0.24 ± 0.29 ± 1.24 0.37 ± 0.23 ± 0.85 1.17 ± 0.98 ± 2.53 1.30 ± 2.08 ± 2.80 CMS (13 TeV) -1 77.2 fb ≤ (8 TeV) + -1 19.8 fb ≤ (7 TeV) + -1 5.1 fb ≤ b b → H Observed syst) ⊕ (stat σ 1 ± (syst) σ 1 ± CMS: arXiv:1808.08242 ATLAS: arXiv:1808.08238 CMS: arXiv:1808.08242 qq̄′ → W H 0-jet 1-jet ≥ 2-jet gg → ZH 0-jet 1-jet ≥ 2-jet qq̄ → ZH 0-jet 1-jet ≥ 2-jet V H = V (→ leptons)H 75 0 150 250 400 ∞ pV T Stage 1.2 1 10 2 10 3 10 [fb] lep V B × b b H B × VH STXS σ ATLAS Preliminary -1 =13 TeV, 139 fb s V = W V = Z lep. (resolved + boosted) → , V b b → VH, H Observed Expected Theo. unc. Boosted (PLB 816 136204) Resolved (EPJC 81 178) Combined < 250 GeV W,t T 150 < p < 400 GeV W,t T 250 < p > 400 GeV W,t T p < 150 GeV Z,t T 75 < p < 250 GeV Z,t T 150 < p < 400 GeV Z,t T 250 < p > 400 GeV Z,t T p 0 1 2 Ratio to SM ATLAS-CONF-2021-051
Coupling to 3rd generation leptons: Hàττ • Observation already in Run 1 ATLAS+CMS coupling combination • Now more precise measurements, bringing sensitivity to regions of the phase space less well measured by e.g. H → γγ and H → 4l ü i.e. ggF high pT H and especially VBF Marco Delmastro Twelve years with the Higgs boson 55 10 2 10 3 10 4 10 B (fb) σ Observed (stat.) σ 1 ± σ 1 ± Uncertainty in SM prediction -370 +394 2960 -552 +592 3060 -73.3 +75.3 221 -792 +864 -964 -510 +519 -756 -261 +264 1010 -47.1 +51.9 99.1 -271 +251 19.0 -24.5 +24.3 24.2 -7.90 +7.82 13.0 -515 +552 374 -46.0 +45.8 -18.9 -17.3 +17.7 32.9 -4.17 +4.40 6.41 CMS Preliminary (13 TeV) -1 137 fb Process-based τ τ → H τ τ → ggH τ τ → qqH ggH-0j/pT<200 ggH-1j/pT[0-60] ggH-1j/pT[60-120] ggH-1j/pT[120-200] ggH-2j/pT<200 ggH/pT[200,300] ggH/pT>300 qqH non-VBF topo qqH-2j/mJJ[350-700] qqH-2j/mJJ>700 qqH-2j/pT>200 3 − 2 − 1 − 0 1 2 3 4 Ratio to SM CMS-PAS-HIG-19-010 1 /. 3 ,,./ . / / ( /2 / ) ,0 . (.( /( ( 3 / ) 5(/32 ( ( ) 7 .. 2 3 / (13 ,/36 3 (1 104/ 2 ,2, (/3,),( ( 7 3 1 10 2 10 3 10 4 10 [fb] τ τ H B × i σ ATLAS -1 = 13 TeV, 139 fb s = 95 % SM p | 2.5) H cross-sections (|y τ τ → H Observed Tot. unc. Stat. unc. Expected Theo. unc. 0 2 4 Ratio to SM N(jets): (H) [GeV]: T p [GeV]: jj m 1 ≥ 1 2 ≥ 0 ≥ 0 ≥ 2 ≥ 2 ≥ 2 ≥ [60, 120] [120, 200] [200, 300] [ ∞ [300, [0, 200] ♠ [0, 350] [0, 350] [ ∞ [350, [60, 120] [ ∞ [350, qq)H → Z( → gluon fusion + gg qq)H → VBF + V( ttH JHEP 08 (2022) 175 ggF high pTH VBF high mjj
Marco Delmastro Twelve years with the Higgs boson 56 couplings to bosons established couplings to 3rd generation fermions observed couplings to 2nd generation fermion? Is the Higgs boson responsible for the EW symmetry breaking also responsible for the masses of fermions? Is the Higgs boson responsible for the masses of all fermions?
Coupling to 2nd generation leptons: H൵ evidence in 2020! • H൵ very rare (BR ~ 2 10-4) with large resonant background from DYà µµ (S/B ~ 0.1%) Marco Delmastro Twelve years with the Higgs boson 57 JHEP 01 (2021) 148 PLB 812(2021) 135980 [GeV] µ µ m 100 200 300 400 500 600 700 Weighted Events / 2 GeV ATLAS -1 = 13 TeV, 139 fb s , ln(1 + S/B) weighted µ µ → H Data Total pdf Signal pdf Bkg. pdf 110 115 120 125 130 135 140 145 150 155 160 [GeV] µ µ m 2 − 0 2 Data - Bkg. µ = 1.2 ± 0.2 Significance: 3.0 σ (2.5 expected) µ = 1.2 ± 0.6 Significance: 2.0 σ (1.7 expected)
30 − 20 − 10 − 0 10 20 30 c κ 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 ) c κ / L c κ - ln(L 95% CL Comb. (obs.) Comb. (exp.) 0-lepton (obs.) 1-lepton (obs.) 2-lepton (obs.) ATLAS c c → VH, H -1 = 13 TeV, 139 fb s | 8.5 at 95% CL c κ | The next frontier: coupling to 2nd generation quarks Hàcc • Very challenging channel: large backgrounds from multi-jets ü c-tagging needed to discriminate H → bb Marco Delmastro Twelve years with the Higgs boson 58 60 80 100 120 140 160 180 200 [GeV] cj m 500 − 0 500 1000 1500 2000 2500 3000 3500 Events after B-subtraction / 10 GeV Data =-9) µ ) ( c c → VH( =1.16) µ ) ( c c → VZ( =0.83) µ cq) ( → VW( B-only uncertainty 26 × ) c c → SM VH( ATLAS -1 = 13 TeV, 139 fb s 0+1+2 leptons 1 c-tag, All SR VZ,VW: 3.8 σ forVW(→cq) Eur. Phys. J. C 82 (2022) 717 limits on κc coupling ATLAS: κc = σ/σSM 8.5 (12.4 exp.) CMS: 1.1 κc 5.5 ( 3.4 exp.) Phys. Rev. Lett. 131 (2023) 061801 Zàcc: 5.7 σ
2 − 1.5 − 1 − 0.5 − 0 0.5 1 1.5 2 b κ 3 − 2 − 1 − 0 1 2 3 4 c κ SM σ 1 ± σ 2 ± CMS Phase-2 Projection Preliminary (14 TeV) -1 3000 fb Will we observe Hàcc in the future? • Extrapolations to HL-LHC luminosity ü Sensitivity to kc (and kb) from ATLAS VH/Hàcc and VH/Hàbb analyses Sensitivity to kc and kb from CMS pT H differential measurements Marco Delmastro Twelve years with the Higgs boson 59 2 − 1 . 5 − 1 − 0 . 5 − 0 0 . 5 1 1 . 5 2 b κ 4 − 2 − 0 2 4 6 8 1 0 c κ E x p e c t e d 6 8 % C L E x p e c t e d 9 5 % C L S M A T L A S P r e l i m i n a r y - 1 = 1 4 T e V , 3 0 0 0 f b s P r o j e c t i o n f r o m R u n 2 d a t a ) c , c b b → V H ( 4 − 2 − 0 2 4 c κ 0 0.5 1 1.5 2 2.5 3 ) max L L - log( 68% CL 95% CL Combined (exp.) 0 lepton (exp.) 1 lepton (exp.) 2 lepton (exp.) ATLAS Preliminary -1 = 14 TeV, 3000 fb s Projection from Run 2 data ) c c → VH( κc = σ/σSM 3 @ 95% CL ATL-PHYS-PUB-2021-039 arXiv:1902.00134 Phys. Rev. Lett. 131 (2023) 061801
Marco Delmastro Twelve years with the Higgs boson 60 One for all, all for one! 9.
4 − 10 3 − 10 2 − 10 1 − 10 1 vev V m V κ or vev F m F κ Run 2 ATLAS µ c τ b W Z t t κ = c κ is a free parameter c κ SM prediction 1 − 10 1 10 2 10 Particle mass [GeV] 0.8 1 1.2 1.4 V κ or F κ e ν µ ν τ ν u c t Leptons Quarks e µ τ d s b g γ Z W H Force carriers Higgs boson The Standard Model rules (over 3 order of magnitudes)! Marco Delmastro Twelve years with the Higgs boson 61 Nature 607 (2022) 52 Nature 607 (2022) 60
Marco Delmastro Twelve years with the Higgs boson 62 0 10 200 pH T [GeV] 0 10 20 30 σ [pb] = 0 jets 0 60 120 200 pH T [GeV] 0 5 10 σ [pb] = 1 jet 0 120 200 pH T [GeV] −2 0 2 4 σ [pb] mjj 350 GeV 0.0 0.5 1.0 1.5 σ [pb] mjj ≥ 350 GeV 200 300 450 ∞ pH T [GeV] 101 102 103 σ [fb] pH T ≥ 200 GeV −2 0 2 4 σ [pb] ≤ 1 jet VH-enriched VBF-enriched 0 1 2 3 σ [pb] mjj 350 GeV 350 700 1000 1500 ∞ mjj [GeV] 0 500 σ [fb] pH T 200 GeV 350 1000 ∞ mjj [GeV] 0 50 100 σ [fb] pH T ≥ 200 GeV 0 75 150 250 400 ∞ pW T [GeV] 100 101 102 103 σ [fb] qq' → WH → Hℓν 0 150 250 400 ∞ pZ T [GeV] 100 101 102 σ [fb] pp → ZH → Hℓℓ 0 60 120 200 300 450 ∞ pH T [GeV] 0 100 200 σ [fb] t ̄ tH 0 250 500 750 1000 σ [fb] tH ATLAS Run 2 Data (Total uncertainty) Syst. uncertainty SM prediction ≥ 2 jets pH T 200 GeV gg → H mjj ≥ 350 GeV ≥ 2 jets qq → qqH V(ℓℓ, ℓν)H Nature 607 (2022) 52
How well do we know the Higgs couplings? • Higgs couplings known to ~6-15% ü Some channel not included yet, or with partial statistics ü Expect more improvements in next ~2 years, also from ATLAS+CMS combination Marco Delmastro Twelve years with the Higgs boson 63 0.8 1 1.2 1.4 1.6 68% CL interval γ Z κ γ κ g κ µ κ τ κ b κ t κ W κ Z κ ATLAS Run 2 = 0 u. B = inv. B 1 ≤ V κ 0, ≥ u. B free, inv. B SM prediction Parameter value not allowed e ν µ ν τ ν u c t Leptons Quarks e µ τ d s b g γ Z W H Force carriers Higgs boson
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 Expected uncertainty γ Z κ µ κ τ κ b κ t κ g κ Z κ W κ γ κ 9.8 4.3 1.9 3.7 3.4 2.5 1.5 1.7 1.8 6.4 7.2 1.7 1.7 3.8 1.0 1.5 0.9 0.8 3.2 1.3 1.3 3.1 0.9 1.1 2.1 0.9 0.8 1.2 0.7 0.6 1.3 0.8 0.7 1.3 0.8 1.0 Tot Stat Exp Th Uncertainty [%] CMS and ATLAS HL-LHC Projection per experiment -1 = 14 TeV, 3000 fb s Total Statistical Experimental Theory 2% 4% How well will we know the Higgs couplings? • 2-4% precision expected with 2 x 3000 fb-1 Marco Delmastro Twelve years with the Higgs boson 64 arXiv:1902.00134
Marco Delmastro Twelve years with the Higgs boson 65 Can the Higgs boson tell us something about new phenomena? 10.
Can Higgs properties constrain BSM phenomena today? • Most recent approach: Effective Field Theory (EFT) interpretation Marco Delmastro Twelve years with the Higgs boson 66 • Oi (n) affect rates and kinematics • STXS measurements and Higgs BR reparametrized in terms of dimension-six Wilson coefficients ci in Warsaw basis ü Correction for modified acceptance in H → 4l and H → lνlν ü U(3)5 flavor symmetry assumed, linearized in Wilson coefficients contribution (linear contribution ∝ Λ−2 , expected to be leading)
Can Higgs properties constrain BSM phenomena today? Marco Delmastro Twelve years with the Higgs boson 67
EFT interpretation of Higgs couplings: ci impact Marco Delmastro Twelve years with the Higgs boson 68 ATLAS Preliminary √s = 13 TeV 139 fb −1 ggH σ VBF σ VH σ ttH σ BR 0.2 0.4 0.6 0.8 1 unc. 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.02 HB c = 0.04 HWB c = 0.04 HW c = 0.4 uW c = 0.4 uB c = 1 HDD c = 0.4 W c 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.04 (3) Hq c = 0.2 Hd c = 0.2 Hu c = 0.2 (1) Hq c = 1 (1) Hl c = 1 He c = 1 eH c = 1 dH c 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 1 (3) Hl c = 1 ll c’ 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.01 HG c = 0.2 uG c = 1 uH c = 1 G c = 0.2 (31) qq c = 0.2 qq c = 0.2 (1) uu c = 1 (8) qu c = 1 (3) qq c 10 H T 0-jet, p 200 H T p ≤ 0-jet, 0 60 H T 1-jet, p 120 H T p ≤ 1-jet, 60 200 H T p ≤ 1-jet, 120 60 H T 2-jet, p ≥ 120 H T p ≤ 2-jet, 60 ≥ 200 H T p ≤ 2-jet, 120 ≥ 200 H T 700, p jj m ≤ 2-jet, 350 ≥ 200 H T , p jj m ≤ 2-jet, 700 ≥ 300 H T 200p 450 H T 300p H T 450p 1-jet ≤ 120 jj 60 |m jj 2-jet m ≥ 120 jj m ≤ 2-jet 60 ≥ 200 H T 350 p jj 2-jet m ≥ 200 H T 700 p jj 2-jet 350m ≥ 200 H T 1000 p jj 2-jet 700m ≥ 200 H T 1500 p jj 2-jet 1000m ≥ 200 H T 1500 p jj 2-jet m ≥ 75 V T p ≤ W H 0 150 V T p ≤ W H 75 250 V T p ≤ W H 150 400 V T p ≤ W H 250 V T p ≤ W H 400 150 V T p ≤ ZH 0 250 V T p ≤ ZH 150 400 V T p ≤ ZH 250 V T p ≤ ZH 400 60 H T p ≤ 0 120 H T p ≤ 60 200 H T p ≤ 120 300 H T p ≤ 200 450 H T p ≤ 300 450 H T p tH ZZ → H W W → H γ γ → H bb → H τ τ → H Measurement uncertainty in STXS bin / decay channel Relative effect of relevant operators
EFT interpretation of Higgs couplings: ci impact Marco Delmastro Twelve years with the Higgs boson 69 ATLAS Preliminary √s = 13 TeV 139 fb −1 ggH σ VBF σ VH σ ttH σ BR 0.2 0.4 0.6 0.8 1 unc. 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.02 HB c = 0.04 HWB c = 0.04 HW c = 0.4 uW c = 0.4 uB c = 1 HDD c = 0.4 W c 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.04 (3) Hq c = 0.2 Hd c = 0.2 Hu c = 0.2 (1) Hq c = 1 (1) Hl c = 1 He c = 1 eH c = 1 dH c 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 1 (3) Hl c = 1 ll c’ 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.01 HG c = 0.2 uG c = 1 uH c = 1 G c = 0.2 (31) qq c = 0.2 qq c = 0.2 (1) uu c = 1 (8) qu c = 1 (3) qq c 10 H T 0-jet, p 200 H T p ≤ 0-jet, 0 60 H T 1-jet, p 120 H T p ≤ 1-jet, 60 200 H T p ≤ 1-jet, 120 60 H T 2-jet, p ≥ 120 H T p ≤ 2-jet, 60 ≥ 200 H T p ≤ 2-jet, 120 ≥ 200 H T 700, p jj m ≤ 2-jet, 350 ≥ 200 H T , p jj m ≤ 2-jet, 700 ≥ 300 H T 200p 450 H T 300p H T 450p 1-jet ≤ 120 jj 60 |m jj 2-jet m ≥ 120 jj m ≤ 2-jet 60 ≥ 200 H T 350 p jj 2-jet m ≥ 200 H T 700 p jj 2-jet 350m ≥ 200 H T 1000 p jj 2-jet 700m ≥ 200 H T 1500 p jj 2-jet 1000m ≥ 200 H T 1500 p jj 2-jet m ≥ 75 V T p ≤ W H 0 150 V T p ≤ W H 75 250 V T p ≤ W H 150 400 V T p ≤ W H 250 V T p ≤ W H 400 150 V T p ≤ ZH 0 250 V T p ≤ ZH 150 400 V T p ≤ ZH 250 V T p ≤ ZH 400 60 H T p ≤ 0 120 H T p ≤ 60 200 H T p ≤ 120 300 H T p ≤ 200 450 H T p ≤ 300 450 H T p tH ZZ → H W W → H γ γ → H bb → H τ τ → H Measurement uncertainty in STXS bin / decay channel Relative effect of relevant operators O(1) effects for small values of cHB, cHW, cHWB (tree level H → γγ) VH σ ttH σ BR = 0.02 HB c = 0.04 HWB c = 0.04 HW c = 0.4 uW c = 0.4 uB c = 1 HDD c = 0.4 W c = 0.04 (3) Hq c = 0.2 Hd c = 0.2 Hu c = 0.2 (1) Hq c = 1 (1) Hl c = 1 He c = 1 eH c = 1 c H → 𝛄𝛄
EFT interpretation of Higgs couplings: ci impact Marco Delmastro Twelve years with the Higgs boson 70 ATLAS Preliminary √s = 13 TeV 139 fb −1 ggH σ VBF σ VH σ ttH σ BR 0.2 0.4 0.6 0.8 1 unc. 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.02 HB c = 0.04 HWB c = 0.04 HW c = 0.4 uW c = 0.4 uB c = 1 HDD c = 0.4 W c 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.04 (3) Hq c = 0.2 Hd c = 0.2 Hu c = 0.2 (1) Hq c = 1 (1) Hl c = 1 He c = 1 eH c = 1 dH c 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 1 (3) Hl c = 1 ll c’ 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.01 HG c = 0.2 uG c = 1 uH c = 1 G c = 0.2 (31) qq c = 0.2 qq c = 0.2 (1) uu c = 1 (8) qu c = 1 (3) qq c 10 H T 0-jet, p 200 H T p ≤ 0-jet, 0 60 H T 1-jet, p 120 H T p ≤ 1-jet, 60 200 H T p ≤ 1-jet, 120 60 H T 2-jet, p ≥ 120 H T p ≤ 2-jet, 60 ≥ 200 H T p ≤ 2-jet, 120 ≥ 200 H T 700, p jj m ≤ 2-jet, 350 ≥ 200 H T , p jj m ≤ 2-jet, 700 ≥ 300 H T 200p 450 H T 300p H T 450p 1-jet ≤ 120 jj 60 |m jj 2-jet m ≥ 120 jj m ≤ 2-jet 60 ≥ 200 H T 350 p jj 2-jet m ≥ 200 H T 700 p jj 2-jet 350m ≥ 200 H T 1000 p jj 2-jet 700m ≥ 200 H T 1500 p jj 2-jet 1000m ≥ 200 H T 1500 p jj 2-jet m ≥ 75 V T p ≤ W H 0 150 V T p ≤ W H 75 250 V T p ≤ W H 150 400 V T p ≤ W H 250 V T p ≤ W H 400 150 V T p ≤ ZH 0 250 V T p ≤ ZH 150 400 V T p ≤ ZH 250 V T p ≤ ZH 400 60 H T p ≤ 0 120 H T p ≤ 60 200 H T p ≤ 120 300 H T p ≤ 200 450 H T p ≤ 300 450 H T p tH ZZ → H W W → H γ γ → H bb → H τ τ → H Measurement uncertainty in STXS bin / decay channel Strong energy growt of effect of c(3) Hg, c(1) Hg, cHu, cHd WH ZH = 0.04 HW c = 0.4 uW c = 0.4 uB c = 1 HDD c = 0.4 W c = 0.04 (3) Hq c = 0.2 Hd c = 0.2 Hu c = 0.2 (1) Hq c = 1 (1) Hl c = 1 He c = 1 eH c = 1 dH c = 1 (3) Hl c = 1 ll c’ = 0.01 HG c = 0.2 uG c = 1 uH c
EFT interpretation of Higgs couplings • Simultaneously constraining all coefficients impossible • Fit performed in sensitive directions ü linear combinations informed by principal component analysis • Examples ü c[1] HG,uG,uH: linear comb. with strong impact on gg → H ü c[1] HW,HB,HWB,HDD,uW,uB,W: strong impact on H → 𝛄𝛄 ü c(3) Hq: unique impact on VH Marco Delmastro Twelve years with the Higgs boson 71 1 1 1 0.62 0.78 0.83 0.55 0.24 0.26 0.37 0.87 0.9 0.42 0.43 0.31 0.84 0.17 0.95 0.27 0.88 0.02 0.47 0.13 0.05 0.03 0.02 0.02 0.07 0.04 0.05 0.04 0.01 0.02 0.04 1 1 0.04 0.09 0.2 0.05 0.02 0.38 0.08 0.78 0.01 0.23 0.05 0.02 0.37 ATLAS Preliminary p s =13 TeV, 139 fb 1 1 0.8 0.6 0.4 0.2 0 0.2 0.4 0.6 0.8 1 c ( 3 ) H q c d H c e H c H e c ( 1 ) H l c ( 3 ) H l c 0 l l c H d c H u c ( 1 ) H q c H B c H W c H W B c H D D c W c u B c u W c H G c u G c u H c G c ( 8 ) q d c ( 1 ) q q c q q c ( 3 ) q q c ( 3 1 ) q q c ( 1 ) q u c ( 8 ) q u c ( 8 ) u d c u u c ( 1 ) u u c [1] top c [2] HG,uG,uH c [1] HG,uG,uH c [3] HW ,HB,HWB,HDD,uW ,uB,W c [2] HW ,HB,HWB,HDD,uW ,uB,W c [1] HW ,HB,HWB,HDD,uW ,uB,W c [2] Hu,Hd,Hq(1) c [1] Hu,Hd,Hq(1) c [1] Hl(3),ll0 c [1] Hl(1),He ceH cdH c(3) Hq 0.2 0.1 0 0.1 0.2 ATLAS Preliminary p s =13 TeV, 139 fb 1 mH = 125.09 GeV, |yH | 2.5 SMEFT ⇤ = 1 TeV c[1] HW,HB,HWB,HDD,uW,uB c(3) Hq c[1] HG,uG,uH,top (⇥10) 68 % CL 95 % CL Linear Linear + quadratic 2 1.5 1 0.5 0 0.5 1 1.5 2 c[2] HG,uG,uH,top c[1] Hu,Hd,Hq(1) c[2] HW,HB,HWB,HDD,uW,uB 10 8 6 4 2 0 2 4 6 8 10 c[3] HG,uG,uH,top c[1] Hl(3) ,ll0 c[1] Hl(1) ,He (⇥0.1) c[3] HW,HB,HWB,HDD,uW,uB Parameter Value
Marco Delmastro Twelve years with the Higgs boson 72 The SM missing piece 11 .
Marco Delmastro Twelve years with the Higgs boson 73 latexit sha1_base64=gAy+0xlpWca0hvyMbehnFCAjmaY=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/latexit V ( ) = V0 + 1 2 m2 HH2 + ⌫H3 + 1 4 H4 latexit sha1_base64=GxO25Tqi7v3asrbTl+QH1XYtk3A=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 V ( ) = µ2 † + ( † )2 latexit sha1_base64=gAy+0xlpWca0hvyMbehnFCAjmaY=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/latexit V ( ) = V0 + 1 2 m2 HH2 + ⌫H3 + 1 4 H4 latexit sha1_base64=gAy+0xlpWca0hvyMbehnFCAjmaY=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/latexit V ( ) = V0 + 1 2 m2 HH2 + ⌫H3 + 1 4 H4
Can we access the Higgs self-coupling at the LHC? • Main avenues toward self-coupling measurement at LHC ü Direct: HH production ü Indirect: constraints from single Higgs measurements • HH production ü Very low cross-section (~1000x smaller than single Higgs!) ü Destructive interference between ggàHH processes Marco Delmastro Twelve years with the Higgs boson 74
How to measure di-Higgs production? Marco Delmastro Twelve years with the Higgs boson 75
Closing in on di-Higgs production! • Limits on kλ are improving dramatically, and there is more to be exploited (VBF production, combination of all channels and between ATLAS and CMS, …) • Di-Higgs studies will be a central aspect of the Run 3 (and of course HL-LHC)! Marco Delmastro Twelve years with the Higgs boson 76 Phys. Lett. B 843 (2024) 137745 Nature 607 (2022) 60
Closing in on di-Higgs production! • Di-Higgs studies will be a central aspect of the Run 3 (and of course HL-LHC)! Marco Delmastro Twelve years with the Higgs boson 77 arXiv:2211.01216 Nature 607 (2022) 60 -0.4 κλ 6.3 @ 95% CL -1.24 κλ 6.49 @ 95% CL
When will we finding the missing piece of the SM? Marco Delmastro Twelve years with the Higgs boson 78 arXiv:1902.00134 -2 0 2 4 6 kl 101 102 103 s ggF+VBF (HH) [fb] Expected: kl Œ [1.1,4.3] Baseline scenario ATLAS Preliminary p s = 14 TeV, 3000 fb-1 HH ! bb̄gg Projection from Run 2 data Expected limit (95% CL) Expected limit ±1s Expected limit ±2s Theory prediction (proj.) SM prediction A word of hope… We often do better than our projections! … and one of caution Sometimes projection are optimistic, and HL-LHC will present formidable challenges! ATL-PHYS-PUB-2022-001
Marco Delmastro Twelve years with the Higgs boson 79 The road ahead 12.
We have a formidable tool to understand particle physics… • In 12 years we have measured with great precision many Higgs boson properties ü Mass, width, CP properties… ü Coupling properties and differential distributions… ü Closing in on coupling to 2nd generation, rare decays, self-interaction… ü Higgs as a tool to constrain New Physics... • The LHC has restarted in 2022 for its Run 3 and will operate for a long time… ü A unique opportunity to continue characterizing the Higgs sector! Marco Delmastro Twelve years with the Higgs boson 80 G. Giudice via F. Gianotti
Marco Delmastro Twelve years with the Higgs boson 81
Marco Delmastro Twelve years with the Higgs boson 82
Marco Delmastro Twelve years with the Higgs boson 83 Peter Higgs following the Higgs announcement seminar on July 4 2012
Marco Delmastro Twelve years with the Higgs boson 84 More material ei𝛑.
The Standard Model Marco Delmastro Twelve years with the Higgs boson 85
Marco Delmastro Twelve years with the Higgs boson 86
140 150 160 170 180 190 [GeV] t m 80.25 80.3 80.35 80.4 80.45 80.5 [GeV] W M 68% and 95% CL contours measurements t and m W Fit w/o M measurements H and M t , m W Fit w/o M measurements t and m W Direct M σ 1 ± comb. W M 0.013 GeV ± = 80.379 W M σ 1 ± comb. t m = 172.47 GeV t m = 0.46 GeV σ GeV theo 0.50 ⊕ = 0.46 σ = 125 GeV H M = 50 GeV H M = 300 GeV H M = 600 GeV H M Knowing the Higgs mass values… Marco Delmastro Twelve years with the Higgs boson 87 … allows to make precision predictions … questions us on vacuum (meta) stability 102 104 106 108 1010 1012 1014 1016 1018 1020 -0.04 -0.02 0.00 0.02 0.04 0.06 0.08 0.10 RGE scale m in GeV Higgs quartic coupling l 3s bands in Mt = 173.1 ± 0.6 GeV HgrayL a3HMZL = 0.1184 ± 0.0007HredL Mh = 125.7 ± 0.3 GeV HblueL Mt = 171.3 GeV asHMZL = 0.1163 asHMZL = 0.1205 Mt = 174.9 GeV 0 50 100 150 200 0 50 100 150 200 Higgs mass Mh in GeV Top mass M t in GeV Instability Non-perturbativity Stability Meta-stability latexit sha1_base64=DlHlwCsSaOcMjT50pC72fY6m5ZI=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 V ( ) = µ2 † + ( † )2 latexit sha1_base64=F+2k6ATD6pvRrGmPi8//VSZKJC8=AAACK3icbVBJSwMxGM241rqNevQSLIIHKTOlqBeh1EuPFewCnWHIpGkbmmTGJCOUYf6PF/+KBz244NX/YbqBtj4IPN77trwwZlRpx/mwVlbX1jc2c1v57Z3dvX374LCpokRi0sARi2Q7RIowKkhDU81IO5YE8ZCRVji8GfutByIVjcSdHsXE56gvaI9ipI0U2FUe1OA19NS91Gkp9SYTO7If+qlbdCY4dxZJ5jGzoYsymHkiCezC3IDLZD6lAGaoB/aL141wwonQmCGlOq4Taz9FUlPMSJb3EkVihIeoTzqGCsSJ8tPJZRk8NUoX9iJpntBwov7uSBFXasRDU8mRHqhFbyz+53US3bvyUyriRBOBp4t6CYM6guPgYJdKgjUbGYKwpOZWiAdIIqxNvHkTgrv45WXSLBXdi2L5tlyoVGdx5MAxOAFnwAWXoAJqoA4aAINH8AzewLv1ZL1an9bXtHTFmvUcgT+wvn8AVYOjdg==/latexit mH = p 2 ⌫ Vanishing quartic coupling at the Planck scale? Potential not bounded? … but interpretation more sensitive to precision on top quark mass Running of the Higgs self coupling, assuming SM only at high scale arXiv:1205.6497 Eur. Phys. J. C78, 675 (2018) 170 172 174 176 178 180 182 [GeV] t m 0 1 2 3 4 5 6 7 8 9 10 2 χ ∆ σ 1 σ 2 σ 3 measurements t SM fit w/o m measurements H and M t SM fit w/o m ATLAS [ATLAS-CONF-2017-071] CMS [PRD 93, 072004 (2016)] D0 [PRD 95, 112004 (2017)] CDF [CDF 11080 (2014)] 80.34 80.36 80.38 80.4 80.42 [GeV] W M 0 1 2 3 4 5 6 7 8 9 10 2 χ ∆ σ 1 σ 2 σ 3 measurements W SM fit w/o M measurements H and M W SM fit w/o M LEP [arXiv:1302.3415] Tevatron [arXiv:1204.0042] ATLAS [EPJC 78, 110 (2018)] … but current mH precision has little impact λ
H𝜏𝜏 CP properties of Higgs-τ coupling with Hà𝜏𝜏 Marco Delmastro Twelve years with the Higgs boson 88 latexit sha1_base64=7qYs1If7rGSo9H9Gy/3oD4IEcHk=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 LH⌧⌧ = m⌧ ⌫ ⌧ (cos ⌧ ¯ ⌧⌧ + sin ⌧ ¯ ⌧i 5⌧) H Effective Lagrangian forYukawa coupling to tau leptons parameterized by CP-Even and CP-odd components 0 60 120 180 240 300 360 (degrees) CP φ 0.02 0.04 0.06 0.08 0.1 a.u. even CP odd CP mix CP Z 13 TeV Simulation CMS - π + π → - τ + τ 33 GeV τ T p τ τ H α 2 α𝐻ττ (CMS) = φτ (ATLAS) Eur. Phys. J. C 83 (2023) 563 JHEP 06 (2022) 012 bin CP * ϕ 1 − 10 1 10 2 10 3 10 Events Data (best-fit) τ τ → H (best-fit) τ τ → Z ) ° = 0 τ φ ( τ τ → H τ Misidentified ) ° = 90 τ φ ( τ τ → H Other backgrounds Uncertainty ATLAS -1 = 13 TeV, 139 fb s High had τ had τ Boost_0 Boost_1 VBF_0 VBF_1 0 5 10 15 20 25 30 bin CP * ϕ 0 1 2 Data / Pred. ⇡ ⇡+ n⇤ n⇤+ '⇤ CP Uses either the impact parameter direction for single- prong taus ( ± ) or momentum for τ → ± ρ ντ (also for 3-prong decays with ρ →
CP properties of Higgs-τ coupling with Hà𝜏𝜏 Marco Delmastro Twelve years with the Higgs boson 89 80 − 60 − 40 − 20 − 0 20 40 60 80 [degrees] τ φ 0 1 2 3 4 5 6 7 ln(L) ∆ - (68% CL) ° 16 ± = 9 obs. τ φ Observed: (68% CL) ° 28 ± = 0 exp. τ φ Expected: σ 1 σ 2 σ 3 ATLAS -1 = 13 TeV, 139 fb s °90 °45 0 45 90 aHtt(degrees) 0 2 4 6 8 10 12 ° 2D log L CMS 137 fb°1 (13 TeV) 68.3% 95.5% 99.7% Observed: âHtt obs. = °1 ± 19 ±(68.3% CL) Expected: âHtt exp. = 0 ± 21 ±(68.3% CL) Observed: âHtt obs. = °1 ± 19 ±(68.3% CL) Expected: âHtt exp. = 0 ± 21 ±(68.3% CL) Eur. Phys. J. C 83 (2023) 563 α𝐻ττ(CMS) = φτ (ATLAS) φ𝜏 = -1 ± 19° (21° exp) pure CP-odd coupling excluded at 3 σ φ𝜏 = 9 ± 16° (28° exp) pure CP-odd coupling excluded at 3.4 σ JHEP 06 (2022) 012
Hà𝜏𝜏 decay CP Marco Delmastro Twelve years with the Higgs boson 90 ⇡ ⇡+ n⇤ n⇤+ '⇤ CP ⇢ ⇢+ ⇡0 ⇡ ⇡0 ⇡+ '⇤ CP ⇡ ⇢+ n⇤ ⇡0 ⇡+ '⇤ CP Impact parameter directional distance of closest approach of charged particle’s track to reconstructed PV of the event 4-vectors boosted to the rest frame of visible di-𝜏 Zero Momentum Frame (e.g. two decay charged particles) impact parameter ρ decay plane impact parameter + ρ decay plane
1 − 0.8 − 0.6 − 0.4 − 0.2 − 0 0.2 0.4 0.6 0.8 1 ggH a3 f 0 1 2 3 4 5 6 7 8 9 10 ln L ∆ 2 − + 4l τ τ Observed Expected 68% CL 95% CL CMS (13 TeV) -1 138 fb CP properties of Higgs-gluon coupling with ggF+VBF Marco Delmastro Twelve years with the Higgs boson 91 Hgg ATLAS: ∆Φjj ggF+VBF HàWW* CMS: ∆Φjj or MELA discriminant ggF+VBF Hà𝜏𝜏 arXiv:2109.13808 arXiv:2205.05120 0 500 1000 1500 2000 2500 3000 3500 Events / Bin Observation ggH SM H (125)x50 ggH PS H (125)x50 bkg. τ τ mis-ID h τ → jet Other Uncertainty (13 TeV) -1 138 fb CMS h τ h τ VBF Category 0 0.2 0.4 0.6 0.8 1 ggH 0- D 0.8 1 1.2 Obs. / Exp. 0 2 4 6 jj Φ ∆ 0.05 0.1 0.15 Event fraction CP even CP odd CP mixed ATLAS Simulation ν µ ν e → WW* → = 13 TeV, ggF H s | 3.0 jj η ∆ | 2 4 6 8 weights / bin Σ Observed Total unc. VBF ggF Other Higgs W + jets Z + jets Diboson , Wt t t -1 = 13 TeV, 36.1 fb s ν µ ν e → WW* → H VBF SR ATLAS 0 π π 2 jj Φ ∆ 0.6 0.8 1 1.2 1.4 Data / pred. 8 − 6 − 4 − 2 − 0 2 4 6 8 ) α tan( 0 0.2 0.4 0.6 0.8 1 1.2 NLL ∆ 2 σ 1 -1 =13 TeV, 36.1 fb s ν µ ν e → * WW → H = 1 gg κ fixed to SM, VBF µ ATLAS Expected Observed CP-even CP-odd interference ggF vs VBF ggF CP-even vs ggF CP-odd Hà𝜏𝜏 (combined with Hà4l) fa3 ggH parameterizes fraction of CP-odd BSM point-like Hgg coupling α parameterizes CP- even/CP-odd mixture on Hgg coupling shape only consistent with SM consistent with SM Study ggF+2 jets events: jet kinematics sensitive to Hgg coupling CP properties HàWW*
H V V HVV 1 − 0.5 − 0 0.5 1 dec CP D 0 50 100 Events / bin Total =0.5 a3 VBF+VH f CMS (13 TeV) -1 137 fb 0.7 bkg 4l, Untagged, D → HVV, H 0 0.2 0.4 0.6 0.8 1 VH+dec 0- D 0 2 4 6 8 Events / bin CMS (13 TeV) -1 137 fb 0.2 bkg 4l, VH-hadronic, D → HVV, H CP properties of HVV coupling (mult. prod. + Hà4l) Marco Delmastro Twelve years with the Higgs boson 92 HVV couplings parameterized by tensor structures in scattering amplitude fa3 parameterizes fractional contribution of CP-odd HZZ coupling Multiple analyses constraining HVV couplings with ggH, VBF, VH, ttH, tH production and H→ττ, H→4l, H→γγ decay H q q q q V V HVV Phys. Rev. D 104, 052004 (2021) V V H q q HVV 0 0.2 0.4 0.6 0.8 1 VBF+dec 0- D 0 5 10 15 Events / bin CMS (13 TeV) -1 137 fb 0.2 bkg 4l, VBF-2jet, D → HVV, H SM a3 a2 f =1 =1 Λ1 f ZZ/Zγ* Z+X data HVV, H → 4ℓ Total VBF+VH CMS Zγ Λ1 f =1 f =1
CP properties of HVV coupling (mult. prod. + Hà4l; offshell) Marco Delmastro Twelve years with the Higgs boson 93 2 − 1.5 − 1 − 0.5 − 0 0.5 1 1.5 2 3 − 10 × a3 f 0 2 4 6 8 10 12 14 16 18 20 ln L ∆ 2 − + 4l τ τ Approach 2, Observed Expected 68% CL 95% CL CMS (13 TeV) -1 138 fb 0.005 − 0 0.005 a3 f 0 2 4 6 8 10 12 14 16 lnL ∆ -2 =4.1 MeV H Γ (u) H Γ On-shell 4l Observed Expected CMS (13 TeV) -1 140 fb ≤ 68% CL 95% CL Constraint from combined analyses Other anomalous HVV fixed to 0 𝑓a3 = 0.20 ⨉ 10-3 + 0.26 -0.16 Constraints from Hà4l onshell + off-shell Other anomalous couplings floated in fits 𝑓a3 = 0.024 ⨉ 10-3 + 0.32 -0.064 consistent with SM consistent with SM Phys. Rev. D 104, 052004 (2021) arXiv:2202.06923
CP properties of HVV coupling with VBF Marco Delmastro Twelve years with the Higgs boson 94 SM Lagrangian augmented with CP-odd dim-6 operators involving Higgs and EW gauge fields in EFT formalism 2 dedicated BDT’s (VBF vs ggF,VBF vs yy) Approach pursued with various decay modes, here most recent ATLAS Hà𝛄𝛄, then combined with 36 fb-1 Hà𝜏𝜏 Reference Optimal Observable V V V H V q̄ q q̄ q HVV latexit sha1_base64=/Jv6BXMQsA/o+NcH/q5rLeyeQZA=AAACG3icbVDNS8MwHE3n15xfVY9egkPwNNox1Isw9LKDhwnuA9Za0jTdwtK0JKkwSv8PL/4rXjwo4knw4H9jtvWgmw8Cj/feL8nv+QmjUlnWt1FaWV1b3yhvVra2d3b3zP2DroxTgUkHxywWfR9JwignHUUVI/1EEBT5jPT88fXU7z0QIWnM79QkIW6EhpyGFCOlJc+sO4qygGRBDi+hEwqEM4en9/U8c270LQHSFGIvaxW5Xp57ZtWqWTPAZWIXpAoKtD3z0wlinEaEK8yQlAPbSpSbIaEoZiSvOKkkCcJjNCQDTTmKiHSz2W45PNFKAMNY6MMVnKm/JzIUSTmJfJ2MkBrJRW8q/ucNUhVeuBnlSaoIx/OHwpRBFcNpUTCggmDFJpogLKj+K8QjpAtSus6KLsFeXHmZdOs1+6zWuG1Um1dFHWVwBI7BKbDBOWiCFmiDDsDgETyDV/BmPBkvxrvxMY+WjGLmEPyB8fUDcWOhsg==/latexit ˜ d = ⌫2 ⇤2 cHW̃ latexit sha1_base64=M4uFoFBqhyBqorQ5jE3gGro1dPg=AAACCHicbVDLSsNAFJ3UV62vqEsXDhbBVUmkqBuh1E2XFewD2hAmk2k7dPJg5kYoIUs3/oobF4q49RPc+TdO2yxq64ELh3Pu5d57vFhwBZb1YxTW1jc2t4rbpZ3dvf0D8/CoraJEUtaikYhk1yOKCR6yFnAQrBtLRgJPsI43vpv6nUcmFY/CB5jEzAnIMOQDTgloyTVPqZs2+sCFz9JOluFbvCDUs8w1y1bFmgGvEjsnZZSj6ZrffT+iScBCoIIo1bOtGJyUSOBUsKzUTxSLCR2TIetpGpKAKSedPZLhc634eBBJXSHgmbo4kZJAqUng6c6AwEgte1PxP6+XwODGSXkYJ8BCOl80SASGCE9TwT6XjIKYaEKo5PpWTEdEEgo6u5IOwV5+eZW0Lyv2VaV6Xy3X6nkcRXSCztAFstE1qqEGaqIWougJvaA39G48G6/Gh/E5by0Y+cwx+gPj6xe9yZnQ/latexit cHW̃ = cHB̃ latexit sha1_base64=EoJZ2cSx2/uIewql05kDoW66u/8=AAAB/HicbVDLSsNAFL2pr1pf0S7dDBbBVUmkqBuh1E2XFewD2hAmk0k7dPJgZiKEUH/FjQtF3Poh7vwbp20W2nrgwuGce7n3Hi/hTCrL+jZKG5tb2zvl3cre/sHhkXl80pNxKgjtkpjHYuBhSTmLaFcxxekgERSHHqd9b3o39/uPVEgWRw8qS6gT4nHEAkaw0pJrVombt/sjxbhP89Zshm6R5Zo1q24tgNaJXZAaFOi45tfIj0ka0kgRjqUc2lainBwLxQins8oolTTBZIrHdKhphEMqnXxx/Ayda8VHQSx0RQot1N8TOQ6lzEJPd4ZYTeSqNxf/84apCm6cnEVJqmhElouClCMVo3kSyGeCEsUzTTARTN+KyAQLTJTOq6JDsFdfXie9y7p9VW/cN2rNVhFHGU7hDC7AhmtoQhs60AUCGTzDK7wZT8aL8W58LFtLRjFThT8wPn8ApueUIA==/latexit cHW B̃ = 0 0.3 − 0.2 − 0.1 − 0 0.1 0.2 0.3 0.4 VBF/ggF BDT 0 0.05 0.1 0.15 0.2 0.25 Fraction of events ATLAS Preliminary -1 = 13 TeV, 139 fb s 0.4 − 0.3 − 0.2 − 0.1 − 0 0.1 0.2 0.3 0.4 0.5 VBF/Continuum BDT 0 0.05 0.1 0.15 0.2 0.25 Fraction of events Data sidebands SM VBF SM ggF Continuum background 6 − 4 − 2 − 0 2 4 6 10 20 30 40 50 60 70 80 ln(1+S/B) weighted events / 1.0 Data VBF (SM) Total bkg. Syst. Uncer. ATLAS Preliminary -1 = 13 TeV, 139 fb s [118, 132] GeV ∈ γ γ m TT + TL + LT 110 120 130 140 150 160 [GeV] γ γ m 0 10 20 30 40 50 ln(1 + S/B) weighted events / 2.5 GeV Data Sig. + bkg. Total bkg. Continuum bkg. 6 − 4 − 2 − 0 2 4 6 OO 5 10 Data - bkg. VBF (SM) =0.06) d ~ VBF ( =-0.06) d ~ VBF ( CERN-EP-2022-134
68% (exp.) 95% (exp.) 68% (obs.) 95% (obs.) ˜ d (inter. only) [-0.027, 0.027] [-0.055, 0.055] [-0.011, 0.036] [-0.032, 0.059] ˜ d (inter.+quad.) [-0.028, 0.028] [-0.061, 0.060] [-0.010, 0.040] [-0.034, 0.071] ˜ d from H ! ⌧⌧ [-0.038, 0.036] - [-0.090, 0.035] - Combined ˜ d [-0.022, 0.021] [-0.046, 0.045] [-0.012, 0.030] [-0.034, 0.057] cHW̃ (inter. only) [-0.48, 0.48] [-0.94, 0.94] [-0.16, 0.64] [-0.53, 1.02] cHW̃ (inter.+quad.) [-0.48, 0.48] [-0.95, 0.95] [-0.15, 0.67] [-0.55, 1.07] CP properties of HVV coupling with VBF Marco Delmastro Twelve years with the Higgs boson 95 most stringent constraints on CP-properties of HVV coupling to date 1 − 0.5 − 0 0.5 1 W ~ H c 0 1 2 3 4 5 6 7 8 9 NLL ∆ × 2 Exp. stat. + syst. Obs. stat. + syst. 68% CL 95% CL ATLAS Preliminary -1 = 13 TeV, 139 fb s γ γ → VBF H latexit sha1_base64=/Jv6BXMQsA/o+NcH/q5rLeyeQZA=AAACG3icbVDNS8MwHE3n15xfVY9egkPwNNox1Isw9LKDhwnuA9Za0jTdwtK0JKkwSv8PL/4rXjwo4knw4H9jtvWgmw8Cj/feL8nv+QmjUlnWt1FaWV1b3yhvVra2d3b3zP2DroxTgUkHxywWfR9JwignHUUVI/1EEBT5jPT88fXU7z0QIWnM79QkIW6EhpyGFCOlJc+sO4qygGRBDi+hEwqEM4en9/U8c270LQHSFGIvaxW5Xp57ZtWqWTPAZWIXpAoKtD3z0wlinEaEK8yQlAPbSpSbIaEoZiSvOKkkCcJjNCQDTTmKiHSz2W45PNFKAMNY6MMVnKm/JzIUSTmJfJ2MkBrJRW8q/ucNUhVeuBnlSaoIx/OHwpRBFcNpUTCggmDFJpogLKj+K8QjpAtSus6KLsFeXHmZdOs1+6zWuG1Um1dFHWVwBI7BKbDBOWiCFmiDDsDgETyDV/BmPBkvxrvxMY+WjGLmEPyB8fUDcWOhsg==/latexit ˜ d = ⌫2 ⇤2 cHW̃ 0.15 − 0.1 − 0.05 − 0 0.05 0.1 0.15 d ~ 0 5 10 15 20 25 NLL ∆ × 2 Exp. Comb Obs. Comb γ γ → Exp. H γ γ → Obs. H τ τ → Exp. H τ τ → Obs. H 68% CL 95% CL ATLAS Preliminary -1 = 13 TeV, 36 - 139 fb s CERN-EP-2022-134
Other information about the Higgs width? • Part of Higgs width could be due to decays to undetectable particles (Hàinvisible) ü Limits from direct searches in Hà invisible, explicitly requiring MET in the event Marco Delmastro Twelve years with the Higgs boson 96 ATLAS: BR(H à inv) 0.11 (exp. 0.11) @ 95% CL CMS: BR(H à inv) 0.17 (exp. 0.11) @ 95% CL ATLAS-CONF-2020-052 Run 2 ttH Run 2 VBF Run 2 Combined Run 1 Combined Run 1+2 Combined 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 inv → H B 95% CL upper limit on Observed Expected σ 1 ± σ 2 ± Observed Expected σ 1 ± σ 2 ± Observed Expected σ 1 ± σ 2 ± Observed Expected σ 1 ± σ 2 ± Observed Expected σ 1 ± σ 2 ± ATLAS Preliminary -1 = 7 TeV, 4.7 fb s -1 = 8 TeV, 20.3 fb s -1 = 13 TeV, 139 fb s H 𝜒 𝜒 H 𝜒 𝜒 Nucleon 1 10 2 10 3 10 [GeV] WIMP m 49 − 10 47 − 10 45 − 10 43 − 10 41 − 10 ] 2 [cm -nucleon WIMP σ 49 − 10 47 − 10 45 − 10 43 − 10 41 − 10 Preliminary ATLAS -1 TeV, 4.7 fb = 7 s -1 TeV, 20.3 fb = 8 s -1 TeV, 139 fb = 13 s Higgs Portal Other experiments Scalar WIMP DarkSide-50 Majorana WIMP LUX PandaX-II Xenon1T 0.09 inv → H B All limits at 90% CL Limits on BR(H-inv) can be recast in term of limit on Dark Matter production CMS-PAS-HIG-20-003
STXS at work: H → ZZ* 1 − 0 1 2 3 4 5 6 7 SM ) B ⋅ σ /( B ⋅ σ ttH -Lep VH qq2Hqq-BSM qq2Hqq-VBF VH qq2Hqq- -High H T p gg2H- j gg2H-2 -High H T p - j gg2H-1 -Med H T p - j gg2H-1 -Low H T p - j gg2H-1 -High H T p - j gg2H-0 -Low H T p - j gg2H-0 ATLAS 4l → ZZ* → H -1 = 13 TeV, 139 fb s | 2.5 H Reduced Stage 1.1 - |y [fb] B ⋅ σ [fb] SM ) B ⋅ σ ( -value = 77% p 17 − 26 + 25 18 − 28 + 22 4.8 − 7.9 + 0.5 52 − 64 + 150 35 ± 21 16 − 21 + 38 75 ± 40 12 − 16 + 9 50 ± 170 80 ± 50 110 ± 630 55 ± 170 1.3 − 1.0 + 15.4 0.4 ± 16.4 0.18 ± 4.20 3.5 − 2.4 + 107.6 0.6 − 0.4 + 13.8 4 ± 15 27 ± 127 4 ± 20 18 ± 119 25 ± 172 40 ± 550 25 ± 176 1 1.2 1.4 1.6 1.8 SM N/N tXX ZZ-2j ZZ-1j ZZ-0j Observed: Stat+Sys SM Prediction Observed: Stat-Only [fb] B ⋅ σ [fb] SM ) B ⋅ σ ( -value = 77% p 17 − 26 + 25 18 − 28 + 22 4.8 − 7.9 + 0.5 52 − 64 + 150 35 ± 21 16 − 21 + 38 75 ± 40 12 − 16 + 9 50 ± 170 80 ± 50 110 ± 630 55 ± 170 1.3 − 1.0 + 15.4 0.4 ± 16.4 0.18 ± 4.20 3.5 − 2.4 + 107.6 0.6 − 0.4 + 13.8 4 ± 15 27 ± 127 4 ± 20 18 ± 119 25 ± 172 40 ± 550 25 ± 176 Marco Delmastro Twelve years with the Higgs boson 97 Eur. Phys. J. C 81 (2021) 488 Eur. Phys. J. C 80 (2020) 957
STXS at work: H → WW* • Precision measurements have become a possible also for those channels where reconstructing the final state is not possible, e.g. HàWW* (neutrinos, missing transverse energy)! Marco Delmastro Twelve years with the Higgs boson 98 arXiv:2207.00338 1 − 0 1 2 3 4 5 6 7 8 SM ) * WW → H B ⋅ σ / ( * WW → H B ⋅ σ 0.44 − 0.49 + 1.17 , 0.40 − 0.45 + 0.17 − 0.20 + ( ) 0.05 ± 200 GeV ≥ H T p 350 GeV, ≥ jj m , j -2 qqH EW 0.36 − 0.40 + 1.14 , 0.34 − 0.37 + 0.14 − 0.15 + ( ) 0.08 ± 200 GeV H T p 1500 GeV, ≥ jj m , j -2 qqH EW 0.45 − 0.52 + 1.18 , 0.41 − 0.45 + 0.19 − 0.25 + ( ) 0.07 ± 200 GeV H T p 1500 GeV, jj m ≤ , 1000 j -2 qqH EW 0.58 − 0.63 + 0.56 , 0.48 − 0.53 + 0.34 − 0.35 + ( ) 0.07 ± 200 GeV H T p 1000 GeV, jj m ≤ , 700 j -2 qqH EW 0.57 − 0.57 + 0.05 , 0.38 − 0.42 + 0.41 − 0.39 + ( ) 0.07 ± 200 GeV H T p 700 GeV, jj m ≤ , 350 j -2 qqH EW 0.83 − 0.87 + 2.11 , 0.66 − 0.68 + 0.51 − 0.55 + ( ) 0.26 ± 200 GeV ≥ H T p , ggH 0.87 − 0.89 + 1.59 , 0.44 − 0.44 + 0.76 − 0.78 + ( ) 0.22 ± 200 GeV H T p , j -2 ggH 0.77 − 0.80 + 1.46 , 0.62 − 0.63 + 0.47 − 0.49 + ( ) 0.19 ± 200 GeV H T p ≤ , 120 j -1 ggH 0.48 − 0.48 + 0.58 , 0.32 − 0.32 + 0.36 − 0.36 + ( ) 0.15 ± 120 GeV H T p ≤ , 60 j -1 ggH 0.59 − 0.57 + 0.82 , 0.30 − 0.30 + 0.51 − 0.49 + ( ) 0.14 ± 60 GeV H T p , j -1 ggH 0.16 − 0.16 + 1.21 , 0.08 − 0.08 + 0.13 − 0.14 + ( ) 0.07 ± 200 GeV H T p , j -0 ggH Total ( Stat. Syst. ) SM Unc. Total Statistical Unc. Systematic Unc. SM Prediction ATLAS 1 − = 13 TeV, 139 fb s ν µ ν e → * WW → H -value = 53% p 500 1000 1500 2000 2500 3000 3500 4000 Events / 10 GeV Data Uncertainty ggF H VBF H H Other Wt / t t WW * γ Z/ Mis-Id ) V ( VV Other ATLAS -1 = 13 TeV, 139 fb s ν µ ν e → WW* → H =0 jet N ggF SR, 0.6 0.8 1 1.2 1.4 Data / Pred. 50 100 150 200 250 [GeV] T m 0 100 200 300 400 500 600 Bkg. − Total
H → 𝛄𝛄 and H → ZZ*: differential and fiducial cross-sections Marco Delmastro Twelve years with the Higgs boson 99 0 10 20 30 40 50 [pb] σ ATLAS Preliminary -1 = 13 TeV, 139 fb s γ γ Æ H *, ZZ Æ H * ZZ Æ H γ γ Æ H Combination Systematic Uncertainty Total Uncertainty XH =1.47, + K MG5 FxFx XH =1, + K STWZ,BLPTW XH =1, + K GoSam XH =1, + K Sherpa+MCFM+OpenLoops XH =1.1, + K NNLOPS tH + H b b + H t t =VBF+VH+ XH =0 jets N =1 jets N =2 jets N 3 ≥ jets N jets N 0.5 1 1.5 Theory/Data 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 )[pb/GeV] H T p /d( σ d ATLAS Preliminary -1 = 13 TeV, 139 fb s γ γ Æ H *, ZZ Æ H * ZZ Æ H γ γ Æ H Combination Systematic Uncertainty Total Uncertainty XH =1.47, + K MG5 FxFx XH =1.14, + K ResBos2 XH =1, + K SCETlib XH =1, + K RadiSH XH =1.1, + K NNLOPS tH + H b b + H t t =VBF+VH+ XH 0 10 20 30 45 60 80 120 200 300 650 1000 [GeV] H T p 0.5 1 1.5 2 Theory/Data ATLAS-CONF-2022-002
H → 𝛄𝛄 and H → ZZ*: inclusive cross-sections Marco Delmastro Twelve years with the Higgs boson 100 7 8 9 10 11 12 13 14 [TeV] s 0 10 20 30 40 50 60 70 80 90 100 [pb] H → pp σ ATLAS = 125.09 GeV) H m , H → pp ( σ SM QCD scale uncertainty ) s α PDF+ ⊕ (scale Total uncertainty γ γ → H l 4 → * ZZ → H l 4 → H + γ γ → H Combined -1 = 7 TeV, 4.5 fb s -1 = 8 TeV, 20.3 fb s -1 = 13 TeV, 139 fb s -1 = 13.6 TeV, 29.0-31.4 fb s Eur. Phys. J. C 84 (2024) 78
[GeV] T H p 500 1000 1500 (SM) σ / σ 0 20 40 60 80 95% C.L. Upper Limit Fit ATLAS -1 = 13 TeV, 136 fb s Reaching the highest pT H with Hàbb • Jets substructure with 1 or 2 b-tags • Fiducial cross-section (mostly ggF) • Can be recasted as STXS • Highest pT H most sensitive to BSM effects Marco Delmastro Twelve years with the Higgs boson 101 0.2 0.4 0.6 0.8 1 1.2 3 10 × Events / 10 GeV Data =18) µ ( 4 T H, p Z W Top Multijet Signal + Background ATLAS -1 = 13 TeV, 136 fb s TeV 1 T SRL, p 0 100 Data-Multijet σ 1 ± Multijet 80 100 120 140 160 180 200 Jet mass [GeV] 50 − 0 50 Data-bkg σ 1 ± Multijet, Top, W Z arXiv:2111.08340 pT H 1TeV 800 GeV pT H 1.2 TeV JHEP12(2020)085
Other rare Higgs decays within reach? Marco Delmastro Twelve years with the Higgs boson 102 Imma Riu @ LHCP 2021
[GeV] γ Z m 40 50 60 70 80 weights / GeV ∑ Data Sig+Bkg Fit Bkg ATLAS -1 = 13 TeV, 139 fb s All categories ) weighted sum 68 B / 68 S ln(1+ 115 120 125 130 135 140 145 [GeV] γ Z m 4 − 2 − 0 2 4 w - Bkg ∑ Other rare Higgs decays within reach? • SU(2)L symmetry relates the HWW, HZZ, Hyy and HZy interactions ü If New Physics respects SU(2)L, effect correlated in all four channels ü Important to observed and measure also HàZy Marco Delmastro Twelve years with the Higgs boson 103 µ = 2.4 ± 0.9 Significance: 2.7 σ (1.2 expected) µ = 2.0 ± 0.9 Significance: 2.2 σ (1.2 expected) JHEP 05 (2023) 233 Phys. Lett. B 809 (2020) 135754 Phys. Rev. Lett. 132 (2024) 021803 µ = 2.2 ± 0.7 Significance: 3.4 σ
How well should we know the Higgs couplings? Marco Delmastro Twelve years with the Higgs boson 104 Sally Dawson
More tools at hand! Constraining κλ with single-Higgs Marco Delmastro Twelve years with the Higgs boson 105 • Single Higgs boson productions and decays as well as kinematics sensitive to the self-coupling through EW corrections arXiv:2211.01216
4 - 2 - 0 2 4 6 8 10 12 b κ 10 - 0 10 20 30 40 c κ ATLAS Preliminary γ γ Æ H , ZZ* Æ H -1 = 13 TeV, 139 fb s 68% CL 95% CL Standard Model ZZ* Æ H Obs. γ γ Æ H Obs. Obs. Combination Direct Hàcc search is not the only tool… • Charm quark contributes to ggF loop, modification to Higgs-charm coupling can alter pT H • Analogous effect on quark-initiated production of the Higgs boson • Shape of differential pTH cross-section can be interpreted in term of Higgs-charm coupling Marco Delmastro Twelve years with the Higgs boson 106 ATLAS-CONF-2022-002 arXiv:1606.09253 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 )[pb/GeV] H T p /d( σ d ATLAS Preliminary -1 = 13 TeV, 139 fb s γ γ Æ H *, ZZ Æ H * ZZ Æ H γ γ Æ H Combination Systematic Uncertainty Total Uncertainty XH =1.47, + K MG5 FxFx XH =1.14, + K ResBos2 XH =1, + K SCETlib XH =1, + K RadiSH XH =1.1, + K NNLOPS tH + H b b + H t t =VBF+VH+ XH 0 10 20 30 45 60 80 120 200 300 650 1000 [GeV] H T p 0.5 1 1.5 2 Theory/Data
Is it the Standard Model Higgs potential? • How the Higgs potential is realized in Nature can provide important answers to many open points in our understanding of Nature… ü e.g. BSM scenarios of Higgs sector, electroweak phase transition in the SM, baryogenesis… Marco Delmastro Twelve years with the Higgs boson 107 modified Higgs self- coupling needed for strong 1st order transition in electroweak symmetry breaking which allows baryogenesis Different models predicts different potential shape Evolution of Higgs potential could explain matter/antimatter asymmetry via electroweak baryogenesis arXiv:1511.03969 Phys. Rev. D 101, 075023 (2020)
Higgs at FC-ee Marco Delmastro Twelve years with the Higgs boson 108 L = 5 ab-1 ZH = 106 VBF = 2x104 L = 1.5 ab-1 ZH = 2.5x105 VBF = 5x104

More Related Content

PDF
Tesis
byAna Maria Rodriguez Sanchez
 
PPSX
Higgs Boson
byAdvaith Sreekumar
 
PPTX
Higgs boson
byAbhijeet Das
 
PPTX
hana ali Higgs boson.pptx sssssssssssssss
bymshwaikha
 
PPTX
HIGGS BOSON- GOD PARTICLE
bySONANTHADEVUS
 
PPTX
Partikel tuhan higgsboson1
byMahbub Alwathoni
 
PPT
Search For Higgs At Lhc
byworldTC
 
PPTX
Higgs Boson
byParvez Ahmed
 
Tesis
byAna Maria Rodriguez Sanchez
 
Higgs Boson
byAdvaith Sreekumar
 
Higgs boson
byAbhijeet Das
 
hana ali Higgs boson.pptx sssssssssssssss
bymshwaikha
 
HIGGS BOSON- GOD PARTICLE
bySONANTHADEVUS
 
Partikel tuhan higgsboson1
byMahbub Alwathoni
 
Search For Higgs At Lhc
byworldTC
 
Higgs Boson
byParvez Ahmed
 

Similar to Living with a pre-teen Higgs boson. 12 years with the Higgs boson, and the next 12 years: a tale in 12 chapters.

PPTX
Standard Model in Particle Physics, Physical Science Lesson PowerPoint
bySlideSpark Science https://www.slidespark.net/
 
PDF
Particle Physics in a nutshell
byRaquel Gomez Ambrosio
 
PDF
Discovery through precision: perturbative QCD at the dawn of the LHC Run II
byjuanrojochacon
 
PPTX
The higgs boson
byzaurezahmad
 
PPT
Higgs Boson
byNirmalraj Thirubalamurugan
 
PDF
Abstract higg's boson by Theerumalai Ga
byTheerumalai Ga
 
PPTX
Standard model of particle physics
byupvita pandey
 
PDF
Everything you ever wanted to know about the LHC - Lawrence Berkeley National...
byswissnex San Francisco
 
PDF
The Standard Model and the LHC in the Higgs Boson Era
byjuanrojochacon
 
PDF
HIGGSBOSON RADIUS of ACTION
byInternational Journal of Innovation Engineering and Science Research
 
PPTX
Presentation for higgs boson
byAditi Podder
 
PPTX
Inside the Atom, Quarks, Leptons, Force Carrier Particles Physical Science Le...
bySlideSpark Science https://www.slidespark.net/
 
PPT
Lecture johnson
byShilajit Banerjee
 
PPT
To the standard model - Ion Cotaescu
bySEENET-MTP
 
DOCX
Higgs boson
byanoop kp
 
PDF
[L'angolo del PhD] Sara Borroni - XXIII Ciclo - 2010
byaccatagliato
 
PDF
The Higgs Boson - Dr Michael Tuts, Columbia University
byCantabNYC
 
PDF
68th ICREA Colloquium "Results from the LHC Run II" by Mario Martínez
byICREA
 
PDF
Searches for new physics at LHC within the Higgs sector. Step 2: Defining the...
byRaquel Gomez Ambrosio
 
PDF
Draft classical feynmangraphs higgs
byfoxtrot jp R
 
Standard Model in Particle Physics, Physical Science Lesson PowerPoint
bySlideSpark Science https://www.slidespark.net/
 
Particle Physics in a nutshell
byRaquel Gomez Ambrosio
 
Discovery through precision: perturbative QCD at the dawn of the LHC Run II
byjuanrojochacon
 
The higgs boson
byzaurezahmad
 
Higgs Boson
byNirmalraj Thirubalamurugan
 
Abstract higg's boson by Theerumalai Ga
byTheerumalai Ga
 
Standard model of particle physics
byupvita pandey
 
Everything you ever wanted to know about the LHC - Lawrence Berkeley National...
byswissnex San Francisco
 
The Standard Model and the LHC in the Higgs Boson Era
byjuanrojochacon
 
HIGGSBOSON RADIUS of ACTION
byInternational Journal of Innovation Engineering and Science Research
 
Presentation for higgs boson
byAditi Podder
 
Inside the Atom, Quarks, Leptons, Force Carrier Particles Physical Science Le...
bySlideSpark Science https://www.slidespark.net/
 
Lecture johnson
byShilajit Banerjee
 
To the standard model - Ion Cotaescu
bySEENET-MTP
 
Higgs boson
byanoop kp
 
[L'angolo del PhD] Sara Borroni - XXIII Ciclo - 2010
byaccatagliato
 
The Higgs Boson - Dr Michael Tuts, Columbia University
byCantabNYC
 
68th ICREA Colloquium "Results from the LHC Run II" by Mario Martínez
byICREA
 
Searches for new physics at LHC within the Higgs sector. Step 2: Defining the...
byRaquel Gomez Ambrosio
 
Draft classical feynmangraphs higgs
byfoxtrot jp R
 

More from Marco Delmastro

PDF
Si può spiegare il bosone di Higgs?
byMarco Delmastro
 
PDF
Comunicare la fisica al tempo dei social?
byMarco Delmastro
 
PDF
Raccontare la fisica con la scusa del quotidiano
byMarco Delmastro
 
PDF
Revue 2019 du projet AAPG 2016 "PhotonPortal"
byMarco Delmastro
 
PDF
Raccontare la fisica con la scusa del quotidiano
byMarco Delmastro
 
PDF
Raccontare la fisica con la scusa del quotidiano (CF2012 review)
byMarco Delmastro
 
PDF
Bloggare la scienza?
byMarco Delmastro
 
PDF
Alla ricerca dell'infinitamente piccolo
byMarco Delmastro
 
PDF
Bloggare la scienza?
byMarco Delmastro
 
PDF
Il compendio delle teorie squinternate
byMarco Delmastro
 
PDF
Raccontare la scienza con la scusa del quotidiano (SCS 2014)
byMarco Delmastro
 
PDF
Bloggare la scienza (una specie di esercitazione)
byMarco Delmastro
 
PDF
La danza della scienza
byMarco Delmastro
 
Si può spiegare il bosone di Higgs?
byMarco Delmastro
 
Comunicare la fisica al tempo dei social?
byMarco Delmastro
 
Raccontare la fisica con la scusa del quotidiano
byMarco Delmastro
 
Revue 2019 du projet AAPG 2016 "PhotonPortal"
byMarco Delmastro
 
Raccontare la fisica con la scusa del quotidiano
byMarco Delmastro
 
Raccontare la fisica con la scusa del quotidiano (CF2012 review)
byMarco Delmastro
 
Bloggare la scienza?
byMarco Delmastro
 
Alla ricerca dell'infinitamente piccolo
byMarco Delmastro
 
Bloggare la scienza?
byMarco Delmastro
 
Il compendio delle teorie squinternate
byMarco Delmastro
 
Raccontare la scienza con la scusa del quotidiano (SCS 2014)
byMarco Delmastro
 
Bloggare la scienza (una specie di esercitazione)
byMarco Delmastro
 
La danza della scienza
byMarco Delmastro
 

Recently uploaded

PDF
Colloquium: The Cosmic Dipole Anomaly - UNIVERSE
bySérgio Sacani
 
PDF
JWST/NIRSpec Detects Warm CO Emission in the Terrestrial-Planet Zone of HD 13...
bySérgio Sacani
 
PDF
A gas-rich cosmic web revealed by the partitioning of the missing baryons
bySérgio Sacani
 
PDF
BARNARD’S MYSTERIOUS STAR NEAR VENUS: A STRANGE INTERLOPER NOTED DURING A SAT...
bySérgio Sacani
 
PDF
Theory of Time 2025 (Universal Theory for Everything) Ramkumar K
byRAMKUMAR K
 
PDF
The First Star-by-star 𝑁-body/Hydrodynamics Simulation of Our Galaxy Coupling...
bySérgio Sacani
 
DOCX
Understanding Research Peptides - Applications, Mechanisms, and Scientific In...
byPropep Sciences
 
PDF
The star that stopped: The Star of Bethlehem & the comet of 5 BCE
bySérgio Sacani
 
PDF
Lake Stars as an Earth Analog for Europa’s Manannán Crater Spider Feature
bySérgio Sacani
 
PPTX
Chapter-7 Voltammetry Techniques and the importance of such systems in Chemis...
byBezuZewdu
 
PPTX
CHROMOSOME MUTATION: CHROMOSOME REARRANGEMENT, ANEUPLOIDY AND POLYPLOIDY
byBIOSPHERE OF KNOWLEDGE
 
PDF
chapiter1 Real functions of a real variable.pdf
byhaniadjabar
 
PPTX
MOLECULAR BASIS OF INHERITANCE THIS ISAA
bybaltazarbalty032
 
PPTX
Case presentation on the macrocytic anaemia
bytinkuluck4
 
PPTX
UNIT 3 CH 1 PRECIPITATION TITRATION.pptx
byrishitvora055
 
PPTX
Deep Learning in Intrusion Detection Systems.pptx
byrh503648
 
PPTX
Agriculture_Green House _Cultivation of exotic vegetables_Presentation_Introd...
byYogesh Kulkarni
 
PPTX
Diseases of Cotton in India(Major disesaes).pptx
bydjarial06
 
PPTX
Polymerase Chain Reaction Principle Types Applications Limitations
byDeepanshu Banyal
 
PPT
Case presentation on the appendicitis disease
bytinkuluck4
 
Colloquium: The Cosmic Dipole Anomaly - UNIVERSE
bySérgio Sacani
 
JWST/NIRSpec Detects Warm CO Emission in the Terrestrial-Planet Zone of HD 13...
bySérgio Sacani
 
A gas-rich cosmic web revealed by the partitioning of the missing baryons
bySérgio Sacani
 
BARNARD’S MYSTERIOUS STAR NEAR VENUS: A STRANGE INTERLOPER NOTED DURING A SAT...
bySérgio Sacani
 
Theory of Time 2025 (Universal Theory for Everything) Ramkumar K
byRAMKUMAR K
 
The First Star-by-star 𝑁-body/Hydrodynamics Simulation of Our Galaxy Coupling...
bySérgio Sacani
 
Understanding Research Peptides - Applications, Mechanisms, and Scientific In...
byPropep Sciences
 
The star that stopped: The Star of Bethlehem & the comet of 5 BCE
bySérgio Sacani
 
Lake Stars as an Earth Analog for Europa’s Manannán Crater Spider Feature
bySérgio Sacani
 
Chapter-7 Voltammetry Techniques and the importance of such systems in Chemis...
byBezuZewdu
 
CHROMOSOME MUTATION: CHROMOSOME REARRANGEMENT, ANEUPLOIDY AND POLYPLOIDY
byBIOSPHERE OF KNOWLEDGE
 
chapiter1 Real functions of a real variable.pdf
byhaniadjabar
 
MOLECULAR BASIS OF INHERITANCE THIS ISAA
bybaltazarbalty032
 
Case presentation on the macrocytic anaemia
bytinkuluck4
 
UNIT 3 CH 1 PRECIPITATION TITRATION.pptx
byrishitvora055
 
Deep Learning in Intrusion Detection Systems.pptx
byrh503648
 
Agriculture_Green House _Cultivation of exotic vegetables_Presentation_Introd...
byYogesh Kulkarni
 
Diseases of Cotton in India(Major disesaes).pptx
bydjarial06
 
Polymerase Chain Reaction Principle Types Applications Limitations
byDeepanshu Banyal
 
Case presentation on the appendicitis disease
bytinkuluck4
 

Living with a pre-teen Higgs boson. 12 years with the Higgs boson, and the next 12 years: a tale in 12 chapters.

  • 1.
    Marco Delmastro 1 Universitéde Genève, 8/5/2024 (12 years with the Higgs boson, and the next 12 years) Living with a pre-teen Higgs boson Marco Delmastro A tale in 12 chapters Twelve years with the Higgs boson Calvin and Hobbes characters copyright by Bill Watterson and Universal Press Syndicate
  • 2.
    Marco Delmastro Twelveyears with the Higgs boson 2 Peter Higgs (29 May 1929 – 8 April 2024)
  • 3.
    Marco Delmastro Twelveyears with the Higgs boson 3 Why the Higgs boson? 1.
  • 4.
    A fundamental question MarcoDelmastro Twelve years with the Higgs boson 4 How do elementary particles get mass?
  • 5.
    This is nota QFT lecture… Marco Delmastro Twelve years with the Higgs boson 5 All microscopic phenomena seems to be well described by a remarkably simple theory (that we continue to call “model” only for historical reasons...) <latexit sha1_base64="t7jABaN4vfTdPKJHm4B2gXRZMQ0=">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</latexit> LSM = Lgauge( i, Aa) + LHiggs(H, Aa, i) massless particles interact by exchanges of forces carried by massless gauge bosons. QFT describes free fields, interactions generated by gauge symmetries (thus renormalizable) mass terms cannot be directly added without breaking theory gauge invariance (i.e. mass is not a fundamental property, rather an emerging phenomenon) Theory would not make sense without a Higgs field (or something similar) responsible for spontaneous symmetry breaking and mass generation…
  • 6.
    Marco Delmastro Twelveyears with the Higgs boson 6 An idea from 1964 2.
  • 7.
    What’s hot inin physics in 1964? Marco Delmastro Twelve years with the Higgs boson 7 Quark model
  • 8.
    What’s hot inin physics in 1964? Marco Delmastro Twelve years with the Higgs boson 8 Observation of CP-violation
  • 9.
    The Brout-Englert-Higgs mechanismis also proposed… Marco Delmastro Twelve years with the Higgs boson 9 14 citations in the first 5 years 18 citations in the first 5 years 11 citations in the first 5 years 23 citations in the first 5 years … and barely noticed!
  • 10.
    It would take10 more years to become “mainstream”… Marco Delmastro Twelve years with the Higgs boson 10 1967 Photon remains massless Electroweak Symmetry Breaking incorporated into Standard Model 1967 1971-72 Standard Model is renormalizable
  • 11.
    Marco Delmastro Twelveyears with the Higgs boson 11 A closer look to the SM Lagrangian 3.
  • 12.
    Marco Delmastro Twelveyears with the Higgs boson 12
  • 13.
    Marco Delmastro Twelveyears with the Higgs boson 13 “This equation neatly sums up our current understanding of fundamental particles and forces” understanding = knowledge? understanding = hypothesis?
  • 14.
    Gauge sector Marco DelmastroTwelve years with the Higgs boson 14 This part is very well known (one could even say since the discovery of Maxwell equations in 1880), elegant and very well experimentally verified! understanding = knowledge
  • 15.
    Electro-weak symmetry breaking MarcoDelmastro Twelve years with the Higgs boson 15 Still a gauge interaction (nothing new, one might be tempted to say…), only this time between bosons and a scalar field! Nothing like this directly observed before 2012 (but tested before by precision electroweak interactions) Experimentally observed in 2012 with Higgs boson discovery… …this term could not exist without a v.e.v.
  • 16.
    Fermion masses via Yukawainteraction Marco Delmastro Twelve years with the Higgs boson 16 Before 2012 this term was almost a conjecture… and even after the discovery in 2012, it remains an “anomalous” term (it’s not a gauge interaction, and no interaction with this structure has ever been observed in nature) understanding = hypothesis Is the Higgs boson responsible for the EW symmetry breaking also responsible for the masses of fermions? Is the Higgs boson responsible for the masses of all fermions?
  • 17.
    Higgs potential Marco DelmastroTwelve years with the Higgs boson 17 It defines all characteristics of Higgs field and defines Higgs self- interaction properties. Nothing like this has ever been observed in nature Is the shape of the Higgs potential that postulated by the Standard Model? <latexit sha1_base64="BBVZUPbRYadmWj7o4wIXeYEGuaw=">AAACKnicbVDLSgMxFM34rPU16tJNsAgtYpkpRd0IVTcuK9gHdKYlk8lMQzMPkoxQhn6PG3/FTRdKceuHmGlnoa0HAifn3HuTe5yYUSENY6atrW9sbm0Xdoq7e/sHh/rRcVtECcekhSMW8a6DBGE0JC1JJSPdmBMUOIx0nNFD5ndeCBc0Cp/lOCZ2gPyQehQjqaSBftcuW80hrcBbeAmtIOnXYHbvWy7yfcIzDi+gxdREF8Hyslfp1wZ6yagac8BVYuakBHI0B/rUciOcBCSUmCEheqYRSztFXFLMyKRoJYLECI+QT3qKhiggwk7nq07guVJc6EVcnVDCufq7I0WBEOPAUZUBkkOx7GXif14vkd6NndIwTiQJ8eIhL2FQRjDLDbqUEyzZWBGEOVV/hXiIOMJSpVtUIZjLK6+Sdq1qXlXrT/VS4z6PowBOwRkoAxNcgwZ4BE3QAhi8gnfwAT61N22qzbSvRemalvecgD/Qvn8Av9ukfw==</latexit> V ( ) = µ2 † + ( † )2
  • 18.
    A couple ofthings about the Higgs potential… Marco Delmastro Twelve years with the Higgs boson 18 <latexit sha1_base64="BBVZUPbRYadmWj7o4wIXeYEGuaw=">AAACKnicbVDLSgMxFM34rPU16tJNsAgtYpkpRd0IVTcuK9gHdKYlk8lMQzMPkoxQhn6PG3/FTRdKceuHmGlnoa0HAifn3HuTe5yYUSENY6atrW9sbm0Xdoq7e/sHh/rRcVtECcekhSMW8a6DBGE0JC1JJSPdmBMUOIx0nNFD5ndeCBc0Cp/lOCZ2gPyQehQjqaSBftcuW80hrcBbeAmtIOnXYHbvWy7yfcIzDi+gxdREF8Hyslfp1wZ6yagac8BVYuakBHI0B/rUciOcBCSUmCEheqYRSztFXFLMyKRoJYLECI+QT3qKhiggwk7nq07guVJc6EVcnVDCufq7I0WBEOPAUZUBkkOx7GXif14vkd6NndIwTiQJ8eIhL2FQRjDLDbqUEyzZWBGEOVV/hXiIOMJSpVtUIZjLK6+Sdq1qXlXrT/VS4z6PowBOwRkoAxNcgwZ4BE3QAhi8gnfwAT61N22qzbSvRemalvecgD/Qvn8Av9ukfw==</latexit> V ( ) = µ2 † + ( † )2 <latexit sha1_base64="80N4xcst4+16Xy1xtBczLyHshr8=">AAAB8HicbVA9SwNBEJ2LXzF+RS1tFoNgFe5CiBYWQRvLCOZDkjPsbfaSJbt7x+6eEI78ChsLRWz9OXb+GzfJFZr4YODx3gwz84KYM21c99vJra1vbG7ltws7u3v7B8XDo5aOEkVok0Q8Up0Aa8qZpE3DDKedWFEsAk7bwfhm5refqNIskvdmElNf4KFkISPYWOmhJ5LHCrpCbr9YcsvuHGiVeBkpQYZGv/jVG0QkEVQawrHWXc+NjZ9iZRjhdFroJZrGmIzxkHYtlVhQ7afzg6fozCoDFEbKljRorv6eSLHQeiIC2ymwGellbyb+53UTE176KZNxYqgki0VhwpGJ0Ox7NGCKEsMnlmCimL0VkRFWmBibUcGG4C2/vEpalbJXK1fvqqX6dRZHHk7gFM7Bgwuowy00oAkEBDzDK7w5ynlx3p2PRWvOyWaO4Q+czx8oAY9X</latexit> µ2 < 0 <latexit sha1_base64="6PqXgsjNoBhoamJZl5E4cuWvJV4=">AAAB8nicbVDLSgMxFL1TX7W+qi7dBIvgqsxIUVdSdOOygn3AdCiZTKYNzSRDkhHK0M9w40IRt36NO//GtJ2Fth4IHM45l9x7wpQzbVz32ymtrW9sbpW3Kzu7e/sH1cOjjpaZIrRNJJeqF2JNORO0bZjhtJcqipOQ0244vpv53SeqNJPi0UxSGiR4KFjMCDZW8vvcRiOMbpA7qNbcujsHWiVeQWpQoDWofvUjSbKECkM41tr33NQEOVaGEU6nlX6maYrJGA+pb6nACdVBPl95is6sEqFYKvuEQXP190SOE60nSWiTCTYjvezNxP88PzPxdZAzkWaGCrL4KM44MhLN7kcRU5QYPrEEE8XsroiMsMLE2JYqtgRv+eRV0rmoe5f1xkOj1rwt6ijDCZzCOXhwBU24hxa0gYCEZ3iFN8c4L86787GIlpxi5hj+wPn8Aec2kFw=</latexit> > 0 The potential is symmetric under rotations in Φ space It has a minimum which is not at <Φ>=0 known as the vacuum expectation value (vev) v that defines the electroweak scale <latexit sha1_base64="31IS0dPFHrmngnacU6nYltdgeZc=">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</latexit> ⌫ = µ p = mW g = 246GeV The mass of the Higgs boson is not predicted by the theory! <latexit sha1_base64="w9Fmr3Xsu0VA/q0jNv8I5c43Vqw=">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</latexit> mH = p 2µ = p 2 ⌫
  • 19.
    Marco Delmastro Twelveyears with the Higgs boson 19 A textbook discovery 4.
  • 20.
    The Large HadronCollider Marco Delmastro Twelve years with the Higgs boson 20
  • 21.
    Higgs boson productionat the LHC Marco Delmastro Twelve years with the Higgs boson 21 [TeV] s 6 7 8 9 10 11 12 13 14 15 H+X) [pb] → (pp σ 2 − 10 1 − 10 1 10 2 10 M(H)= 125 GeV LHC HIGGS XS WG 2016 H (N3LO QCD + NLO EW) → pp qqH (NNLO QCD + NLO EW) → pp WH (NNLO QCD + NLO EW) → pp ZH (NNLO QCD + NLO EW) → pp ttH (NLO QCD + NLO EW) → pp bbH (NNLO QCD in 5FS, NLO QCD in 4FS) → pp tH (NLO QCD, t-ch + s-ch) → pp Probing Higgs Couplings at the LHC The Higgs boson at the LHC. Higgs boson production g g H t q H q q q V H V q q̄ V g g Main production channel 2 forward jets, little hadronic activity in between Tag W and Z leptonic and hadronic decays Tag 2 Higgs boson decays + Total Uncert -1 1 LHC HIGGS XS WG 2011 b b τ τ gg WW 5 main decay channels at Decay branching fractions Total Uncert -1 10 1 LHC HIGGS XS WG 2013 b b τ τ gg WW ZZ • H→bb: 58 % 5 key decay chan Tag Main production channel: gluon- gluon fusion 2 forward jets, little central hadronic activity Tag W and Z decays 6.9M 3.8 pb 520k 2.3 pb 320k 0.5 pb 70k 49 pb 4 main production modes #H σ[pb] @ 13TeV # Higgs produced in 140 fb-1 in one experiment Vector Boson Fusion 2 well-separated forward jets VH tag W and Z boson decays ttH tag 2 top quarks gluon-gluon fusion: main production mode at LHC gs at the LHC 4 HC. q H q H V q q̄ V g g H t t̄ e n Tag W and Z leptonic and Tag 2 top quarks Tag 2 top quarks Tag W and Z 2.3 pb 320k 0.5 pb 70k σ [pb] #Higgs produced during Run-2
  • 22.
    The Higgs bosonis an unstable particle Marco Delmastro Twelve years with the Higgs boson 22 [GeV] H M 80 100 120 140 160 180 200 Higgs BR + Total Uncert -4 10 -3 10 -2 10 -1 10 1 LHC HIGGS XS WG 2013 b b τ τ µ µ c c gg γ γ γ Z WW ZZ Higgs BR @ mH = 125 GeV
  • 23.
    Almost exactly 12years ago… Marco Delmastro Twelve years with the Higgs boson 23 End of 2011… … June 2012…
  • 24.
    Marco Delmastro Twelveyears with the Higgs boson 24
  • 25.
    Marco Delmastro Twelveyears with the Higgs boson 25
  • 26.
    5 σ! Marco DelmastroTwelve years with the Higgs boson 26 Fabiola Gianotti revealing the combined significance of the ATLAS Higgs searches on on July 4 2012
  • 27.
    Higgs boson discoverychannels Marco Delmastro Twelve years with the Higgs boson 27 ATLAS: PLB 716 (2012) 1-29 CMS: PLB 716 (2012) 30 W
  • 28.
    Marco Delmastro Twelveyears with the Higgs boson 28 12 years of Higgs measurements 5.
  • 29.
    A long waysince the discovery… Marco Delmastro Twelve years with the Higgs boson 29 100 110 120 130 140 150 160 Events / 2 GeV 500 1000 1500 2000 2500 3000 3500 γ γ Æ H Data Sig+Bkg Fit Bkg (4th order polynomial) -1 Ldt=4.8fb ∫ =7 TeV, s -1 Ldt=5.9fb ∫ =8 TeV, s ATLAS =126.5 GeV) H (m [GeV] γ γ m 100 110 120 130 140 150 160 Events - Bkg -200 -100 0 100 200 [GeV] 4l m 100 150 200 250 Events/5 GeV 0 5 10 15 20 25 -1 Ldt = 4.8 fb ∫ = 7 TeV: s -1 Ldt = 5.8 fb ∫ = 8 TeV: s 4l Æ (*) ZZ Æ H Data (*) Background ZZ t Background Z+jets, t =125 GeV) H Signal (m Syst.Unc. ATLAS Phys Lett B 716 (1) 1-29 2012 2012 PDG 2012
  • 30.
    A long waysince the discovery… Marco Delmastro Twelve years with the Higgs boson 30 [GeV] γ γ m 500 1000 1500 2000 2500 Sum of Weights / GeV Data Background Signal + Background ATLAS -1 = 13 TeV, 139 fb s = 125.09 GeV H m All categories ln(1+S/B) weighted sum S = Inclusive 110 120 130 140 150 160 [GeV] γ γ m 50 − 0 50 100 Cont. Bkg. − Data JHEP 07 (2023) 088 80 90 100 110 120 130 140 150 160 170 [GeV] 4l m 0 20 40 60 80 100 120 140 160 180 Events/2.5 GeV Data Higgs (125 GeV) Z(Z*) tXX, VVV t Z+jets, t Uncertainty ATLAS 4l Æ ZZ* Æ H -1 = 13 TeV, 139 fb s Eur. Phys. J. C 80 (2020) 942 YESTERDAY
  • 31.
    A long waysince the discovery… Marco Delmastro Twelve years with the Higgs boson 31 PDG 2022
  • 32.
    12 years withthe Higgs boson, and the next 12+ years… Marco Delmastro Twelve years with the Higgs boson 32 Higgs discovery Run 2 ~140 fb-1 @ 13TeV Run 3 ~150-300 fb-1 @ 13.6TeV expected TODAY COVID Schedules are meant to be adjusted… HL-LHC ~3000 fb-1 @ 14TeV expected
  • 33.
    Marco Delmastro Twelveyears with the Higgs boson 33 How well do we know the “basic” Higgs properties? 6.
  • 34.
    Marco Delmastro Twelveyears with the Higgs boson 34 Higgs boson mass and width <latexit sha1_base64="GjAZA3sF3xFCnzOLFd0uDoAcIeU=">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</latexit> V ( ) = µ2 † + ( † )2 <latexit sha1_base64="1fWNXo0BKyAl0MhO6RXZ6twxrvU=">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</latexit> V ( ) = V0 + 1 2 m2 HH2 + ⌫H3 + 1 4 H4 <latexit sha1_base64="w9Fmr3Xsu0VA/q0jNv8I5c43Vqw=">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</latexit> mH = p 2µ = p 2 ⌫ <latexit sha1_base64="z1bzfuT2pOSba8piZGnLZAmf4Ns=">AAACCXicbVC7SgNBFJ2Nrxhfq5Y2g0GwCrsiaiMEbSwjmAdklzA7mU2GzMyu8xDCsq2Nv2JjoYitf2Dn3zhJttDEAxcO59w7c++JUkaV9rxvp7S0vLK6Vl6vbGxube+4u3stlRiJSRMnLJGdCCnCqCBNTTUjnVQSxCNG2tHoeuK3H4hUNBF3epySkKOBoDHFSFup58JAGHgJg1ginAXc5Fmg7qXOAmbf6KM877lVr+ZNAReJX5AqKNDouV9BP8GGE6ExQ0p1fS/VYYakppiRvBIYRVKER2hAupYKxIkKs+klOTyySh/GibQlNJyqvycyxJUa88h2cqSHat6biP95XaPjizCjIjWaCDz7KDYM6gROYoF9KgnWbGwJwpLaXSEeIhuKtuFVbAj+/MmLpHVS889qp7en1fpVEUcZHIBDcAx8cA7q4AY0QBNg8AiewSt4c56cF+fd+Zi1lpxiZh/8gfP5AzLpmrE=</latexit> ⌫ = µ p
  • 35.
    How well dowe know the Higgs mass? • mH Not predicted by theory • All Higgs coupling properties depend on mH • Excellent measurements by ATLAS and CMS ü Precision depends on energy (photons, electrons) and momentum (muons) calibration Marco Delmastro Twelve years with the Higgs boson 35 110 MeV (0.09%) <latexit sha1_base64="afTg4ohr3jY2DSaxuYm93cEIb/Y=">AAACJnicbVDLSsNAFJ34rPUVdelmsAgupCSlqJtC0U2XFewDmhAm00k7dCaJMxOhhHyNG3/FjYuKiDs/xWnagrYeGDice+5jjh8zKpVlfRlr6xubW9uFneLu3v7BoXl03JZRIjBp4YhFousjSRgNSUtRxUg3FgRxn5GOP7qb1jtPREgahQ9qHBOXo0FIA4qR0pJn1lInH9ITA99N7bKV49JaJlnKvQasQUc+CpVWMujwJMs8s7QwwFWymFYCczQ9c+L0I5xwEirMkJQ924qVmyKhKGYkKzqJJDHCIzQgPU1DxIl00/zCDJ5rpQ+DSOgXKpirvztSxKUcc187OVJDuVybiv/VeokKbtyUhnGiSIhni4KEQRXBaWawTwXBio01QVhQfSvEQyQQVjrZog7BXv7yKmlXyvZVuXpfLdVv53EUwCk4AxfABtegDhqgCVoAg2fwCibg3Xgx3owP43NmXTPmPSfgD4zvH2hxoX4=</latexit> mH = p 2µ ATLAS Run 1: p s = 7-8 TeV, 25 fb°1 , Run 2: p s = 13 TeV, 140 fb°1 Total Stat. Syst. Combination Total Stat. Syst. Run 1 H ! ∞∞ Run 2 H ! ∞∞ Run 1+2 H ! ∞∞ Run 1 H ! 4` Run 2 H ! 4` Run 1+2 H ! 4` Run 1 Combined Run 2 Combined Run 1+2 Combined Phys. Rev. Lett. 131 (2023) 251802
  • 36.
    Higgs width: aproblem difficult to tackle directly! Marco Delmastro Twelve years with the Higgs boson 36 Total Higgs natural width in SM is small! ü Too small to be accessed experimentally at LHC from resonance line-shape in analysis where peak can be reconstructed… Direct measurement severely limited by detector resolution! One (old) example: ΓH < 2.4 (3.1) GeV obs. (exp.) dominated by <latexit sha1_base64="KkmEo32xE7fu1RPKHaswFM2hYGE=">AAACAXicbVDLSgNBEJyNrxhfUS+Cl8EgeAq7EtRj0IO5CBHNA7JrmJ1MkiEzu8tMrxiW9eKvePGgiFf/wpt/4+Rx0MSChqKqm+4uPxJcg21/W5mFxaXllexqbm19Y3Mrv71T12GsKKvRUISq6RPNBA9YDTgI1owUI9IXrOEPLkZ+454pzcPgFoYR8yTpBbzLKQEjtfN77iWRkrSTSnqXuMAeQMnk5ipN2/mCXbTHwPPEmZICmqLazn+5nZDGkgVABdG65dgReAlRwKlgac6NNYsIHZAeaxkaEMm0l4w/SPGhUTq4GypTAeCx+nsiIVLrofRNpyTQ17PeSPzPa8XQPfMSHkQxsIBOFnVjgSHEozhwhytGQQwNIVRxcyumfaIIBRNazoTgzL48T+rHReekWLouFcrn0ziyaB8doCPkoFNURhVURTVE0SN6Rq/ozXqyXqx362PSmrGmM7voD6zPH0Xrl3A=</latexit> SM H ΓH = 4.07 MeV SM from Run 1 Hà𝛄𝛄 peak Eur. Phys. J. C 74 (2˚014) 3076
  • 37.
    g g H Z Z gg ! H! ZZ: g g H Z Z gg ! H ! ZZ: g g H Z Z gg ! H ! ZZ: g g H Z Z gg ! H ! ZZ: 500 1000 (GeV) ν 2l2 m 7 − 10 6 − 10 5 − 10 4 − 10 3 − 10 2 − 10 1 − 10 1 10 2 10 3 10 4 10 (fb/GeV) ν 2l2 / dm σ d ) 2 SM H signal (|H| ) 2 SM contin. (|C| ) 2 SM total (|H+C| 2 +|C| 2 |H| CMSSimulation 13 TeV ) µ (l=e, ν 2l2 → gg The Higgs boson as propagator: width from off-shell Higgs Marco Delmastro Twelve years with the Higgs boson 37 • Interference impacts both total cross section and m(VV) line-shape • Assuming on-shell and off-shell couplings are equal: ggF as an example <latexit sha1_base64="35EB4L7x+gWe4D86BPECU3LMt90=">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</latexit> µo↵-shell µon-shell = SM on-shell vv!H!4` / g2 gluong2 V H <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> o↵-shell vv!H!4` / g2 gluong2 V <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> <latexit sha1_base64="(null)">(null)</latexit> vv = gg <latexit sha1_base64="lk/UoFiZxdJulev7N5joDqhkknw=">AAAB7nicbVBNS8NAEJ34WetX1aOXxSJ4KkkV9CIUvXisYD+gDWWznaZLN5uwuymU0B/hxYMiXv093vw3btsctPXBwOO9GWbmBYng2rjut7O2vrG5tV3YKe7u7R8clo6OmzpOFcMGi0Ws2gHVKLjEhuFGYDtRSKNAYCsY3c/81hiV5rF8MpME/YiGkg84o8ZKrfGY3JIw7JXKbsWdg6wSLydlyFHvlb66/ZilEUrDBNW647mJ8TOqDGcCp8VuqjGhbERD7FgqaYTaz+bnTsm5VfpkECtb0pC5+nsio5HWkyiwnRE1Q73szcT/vE5qBjd+xmWSGpRssWiQCmJiMvud9LlCZsTEEsoUt7cSNqSKMmMTKtoQvOWXV0mzWvEuK9XHq3LtLo+jAKdwBhfgwTXU4AHq0AAGI3iGV3hzEufFeXc+Fq1rTj5zAn/gfP4AcaWO+w==</latexit> vv = WW, ZZ, Z , <latexit sha1_base64="SvYte+ooWphPJ1xqZFFjf5IxBcw=">AAACC3icbVDLTgIxFO3gC/E16tJNAzFxQcgMmujGhOjGJSbCEGBCOqUDDW1n0nZIyIS9G3/FjQuNcesPuPNvLAwLBU9y25Nz7k17TxAzqrTjfFu5tfWNza38dmFnd2//wD48aqookZg0cMQi2QqQIowK0tBUM9KKJUE8YMQLRrcz3xsTqWgkHvQkJj5HA0FDipE2Us8ujsfwGnpeGbbbproDxDkqw+zOzp5dcirOHHCVuAtSAgvUe/ZXtx/hhBOhMUNKdVwn1n6KpKaYkWmhmygSIzxCA9IxVCBOlJ/Od5nCU6P0YRhJU0LDufp7IkVcqQkPTCdHeqiWvZn4n9dJdHjlp1TEiSYCZw+FCYM6grNgYJ9KgjWbGIKwpOavEA+RRFib+AomBHd55VXSrFbc80r1/qJUu1nEkQcnoAjOgAsuQQ3cgTpoAAwewTN4BW/Wk/VivVsfWWvOWswcgz+wPn8AAZeZKQ==</latexit> g g Z Z gg ! ZZ: arXiv:2202.06923 <latexit sha1_base64="OziqKQ84H1WPJGVHom+THq/cc3A=">AAACFXicbZDLSgMxFIYz9VbrbdSlm2ARKmqZKUVdFl3YZQV7gc60ZNJMDU0yQ5IRytCXcOOruHGhiFvBnW9jello6w+BL/85h+T8Qcyo0o7zbWWWlldW17LruY3Nre0de3evoaJEYlLHEYtkK0CKMCpIXVPNSCuWBPGAkWYwuB7Xmw9EKhqJOz2Mic9RX9CQYqSN1bVPvVAinLqjtMA7JXgGebfaKR0bPIHeDeIcje9Td9S1807RmQgugjuDPJip1rW/vF6EE06Exgwp1XadWPspkppiRkY5L1EkRniA+qRtUCBOlJ9OthrBI+P0YBhJc4SGE/f3RIq4UkMemE6O9L2ar43N/2rtRIeXfkpFnGgi8PShMGFQR3AcEexRSbBmQwMIS2r+CvE9MjFpE2TOhODOr7wIjVLRPS+Wb8v5ytUsjiw4AIegAFxwASqgCmqgDjB4BM/gFbxZT9aL9W59TFsz1mxmH/yR9fkD0HucGQ==</latexit> 1 (m2 m2 H)2 + 2 Hm2 H
  • 38.
    0 5 1015 (MeV) H Γ 0 2 4 6 8 10 12 14 lnL ∆ -2 +4l off-shell + 4l on-shell ν 2l2 off-shell + 4l on-shell ν 2l2 4l off-shell + 4l on-shell Observed Expected CMS (13 TeV) -1 140 fb ≤ 68% CL 95% CL Measurements of the Higgs width from off-shell production Marco Delmastro Twelve years with the Higgs boson 38 Measurements in 4l and 2l2𝝼 final states and for different production modes arXiv:2202.06923 arXiv:2202.06923v1 140 fb-1 on-shell 4l 78 fb-1 off-shell 4l 138 fb-1 off-shell 2l2v ~3 σ evidence for off-shell H production CMS ΓH=3.2 +2.5 MeV -1.7 4l 0 0.5 1 1.5 2 2.5 3 3.5 4 SM H Γ / H Γ 0 2 4 6 8 10 12 14 16 18 20 ) λ -2ln( 0.5 − 0.6 + Obs-Stat. only: 1.1 0.6 − 0.7 + Obs-Sys: 1.1 0.9 − 0.8 + Exp-Stat. only: 1.0 0.9 − 0.9 + Exp-Sys: 1.0 Obs-Stat. only Obs-Sys Exp-Stat. only Exp-Sys ATLAS On + Off-shell combined -1 13 TeV, 139 fb σ 1 σ 2 ATLAS ΓH=4.5 +3.3 MeV -2.5 Phys. Lett. B 846 (2023) 138223
  • 39.
    How well willwe know the Higgs width? Marco Delmastro Twelve years with the Higgs boson 39 • Combined ATLAS + CMS width sensitivity with 3000 fb-1, based on the off-shell measurement üΓH = 4.1± 0.8 MeV • More conservative assumptions on theoretical uncertainties than Run 2 results – i.e. signal and background k-factors 1 2 3 4 5 6 7 (MeV) H Γ 0 5 10 15 q =0) ai w/ YR18 syst. uncert. (f =0) ai w/ Run 2 syst. uncert. (f =0) ai w/ Stat. uncert. only (f (13 TeV) -1 3000 fb CMS Projection 68% CL 95% CL arXiv:1902.00134 “YR18” systematics: uncertainties reduced wrt Run 2 according to the improvements expected to be reached at the end of HL-LHC e.g. theory uncertainties generally halved. See https://twiki.cern.ch/twiki/bin/view /LHCPhysics/HLHELHCCommon Systematics
  • 40.
    Studies of theHiggs CP properties Marco Delmastro Twelve years with the Higgs boson 40 Spin is property of the particle, CP of the coupling… coupling to EW vector bosons H q q q q V V HVV V V H q q HVV H V V HVV g g t̄ H t Htt coupling to fermions H𝜏𝜏 coupling to gluons Hgg H
  • 41.
    ) P f(J 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 m + 2 gg production h2 + 2 production q q h3 + 2 (gg acceptance) decay-onlydiscriminants h + 2 b + 2 h6 + 2 h7 + 2 h - 2 h9 - 2 h10 - 2 m + 2 h2 + 2 h3 + 2 h + 2 b + 2 h6 + 2 h7 + 2 h - 2 h9 - 2 h10 - 2 m + 2 h2 + 2 h3 + 2 h + 2 b + 2 h6 + 2 h7 + 2 h - 2 h9 - 2 h10 - 2 σ 1 ± Best fit Excluded at 95% CL Expected at 95% CL Expected at 68% CL CMS (7 TeV) -1 (8 TeV) + 5.1 fb -1 19.7 fb ZZ → H SM Higgs spin and CP properties Marco Delmastro Twelve years with the Higgs boson 41 • SM Higgs has spin 0 and positive (even) parity (JCP = 0++) • At the end of Run 1 we knew Higgs had spin 0… ü Spin 1 and 2 hypotheses excluded at > 99.9% CL using Hà𝛄𝛄, HàZZ* and HàWW* *| θ |cos 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Events / 0.1 0 50 100 150 200 250 Expected + = 2 P J Data + = 2 P J Bkg. syst. uncertainty ATLAS -1 L dt = 20.7 fb ∫ = 8 TeV s γ γ → H =0%) q q (f γγ polar angle θ* with respect to Z-axis in Collins-Soper frame Phys. Lett. B 726 (2013) 120 Phys. Rev. D 92 (2015) 012004 Example: J=2 model exclusions with HàZZ *| θ |cos 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Events / 0.1 0 50 100 150 200 250 Expected + = 0 P J Data + = 0 P J Bkg. syst. uncertainty ATLAS -1 L dt = 20.7 fb ∫ = 8 TeV s γ γ → H Example: Hà𝛄𝛄 spin analysis
  • 42.
    1.5 − 1 − 0.5 −0 0.5 1 1.5 2 ) α cos( t κ 2 − 1.5 − 1 − 0.5 − 0 0.5 1 1.5 2 ) α sin( t κ ATLAS -1 = 13 TeV, 139 fb s Best fit SM σ 1 σ 2 σ 3 1 − 0.5 − 0 0.5 1 1.5 t κ 1.5 − 1 − 0.5 − 0 0.5 1 1.5 t κ ∼ 68% CL 95% CL Best fit SM expected CMS (13 TeV) -1 138 fb Multilepton → H /ZZ γ γ → H /ZZ γ γ Multilepton/ → H CP properties of Higgs-top coupling with ttH Marco Delmastro Twelve years with the Higgs boson 42 Effective Lagrangian forYukawa coupling to top quarks parameterized by CP-Even and CP-odd components Two examples: JHEP 07 (2023) 092 g g t̄ H t Htt Phys. Rev. Lett. 125 (2020) 061802 ATLAS ttH Hà𝛄𝛄 pure CP-odd coupling excluded at 3.9σ CMS ttH HàML + Hà𝛄𝛄 +HàZZ pure CP-odd coupling excluded at 3.7σ |α| > 43 deg excluded @ 95% CL. |𝑓𝐻𝑡𝑡| = 0.28 (< 0.55 at 1σ) |𝑓𝐻𝑡𝑡| = (sin α)2
  • 43.
    Marco Delmastro Twelveyears with the Higgs boson 43 How well do we know the Higgs couplings? 7.
  • 44.
    Couplings to… Marco DelmastroTwelve years with the Higgs boson 44 … gauge bosons … fermions
  • 45.
    STXS: Simplified TemplateCross Sections Marco Delmastro Twelve years with the Higgs boson 45 • Cross sections per production mode in different regions of phase space ü Reduce dependency on theory ü Allow MVA analysis ü Exploit sensitivity of each channel specific region of phase space (designed for combination) ü Inclusive in decays (for now) ü Binning defined to allow better estimate of theoretical uncertainties, and easier merging when insufficient experimental sensitivity ü Largely model-independent approach to test for BSM deviations in kinematic distributions Stage 1.2 = 0-jet pHjj T ≥ 2-jet mjj [350, ∞] ≃ 2-jet ! 3-jet ! 3-jet ≃ 2-jet pH T 0 10 350 700 1000 mjj 1500 ∞ mjj [0, 350] 200 120 60 0 pH T = 1-jet pH T [0, 200] 0 ∞ 25 ∞ 0 25 gg →H pH T [200, ∞] 300 200 pH T ∞ 650 450 0.15 pHj T /pH T ! 3-jet ≃ 2-jet ! 3-jet ≃ 2-jet pHjj T pH T [0, 200] 0 25 ∞ mjj [0, 350] 0 25 ∞ pHjj T 0 60 mjj 120 350 mjj [350, ∞] EW qqH = VBF+V (→qq)H mjj 350 700 1000 1500 ∞ pH T [200, ∞] 0 25 ∞ ≥ 2-jet Stage 1.2 = 0-jet = 1-jet qq̄′ → W H 0-jet 1-jet ≥ 2-jet gg → ZH 0-jet 1-jet ≥ 2-jet qq̄ → ZH 0-jet 1-jet ≥ 2-jet V H = V (→ leptons)H 75 0 150 250 400 ∞ pV T Stage 1.2 Stage 1.2 tt̄H pH T 0 60 120 200 300 450 ∞
  • 46.
    2 − 10 1 − 10 1 10 2 10 (fb) Β obs σ Observed syst) ⊕ (stat σ 1 ± (syst) σ 1 ± SM prediction 4.0 − 3.9 + 9.4 7 − 8 + 58 5 − 6 + 13 3 − 3 + 14 0.9 − 0.9 + 2.6 3.6 − 3.6 + 3.7 0.00 − 2.72 + 0.00 0.62 − 1.06 + 0.62 0.4 − 0.5 + 1.1 0.16 − 0.19 + 0.16 0.08 − 0.10 + 0.10 1.1 − 1.2 + 1.3 1.6 − 1.8 + 3.5 0.63 − 0.64 + 0.97 0.15 − 1.08 + 0.15 1.2 − 1.2 + 1.5 0.22 − 0.24 + 0.51 0.54 − 0.68 + 0.71 0.32 − 0.37 + 0.44 0.09 − 0.12 + 0.12 0.35 − 0.41 + 0.71 0.19 − 0.24 + 0.19 0.22 − 0.26 + 0.50 0.14 − 0.17 + 0.24 0.09 − 0.11 + 0.11 0.00 − 0.08 + 0.00 0.9 − 0.7 + 1.7 | <2.5 H , |y γ γ → H STXS stage 1.2: minimal = 70% SM p = 125.38 GeV, H m H T ggH 0J low p H T ggH 0J high p H T ggH 1J low p H T ggH 1J med p H T ggH 1J high p H T 2J low p ≥ ggH H T 2J med p ≥ ggH H T 2J high p ≥ ggH < 300 H T ggH BSM 200 < p < 450 H T ggH BSM 300 < p > 450 H T ggH BSM p Hjj T p low jj VBF-like low m Hjj T p high jj VBF-like low m Hjj T p low jj VBF-like high m Hjj T p high jj VBF-like high m qqH VH-like qqH BSM < 75 V T WH lep p < 150 V T WH lep 75 < p > 150 V T WH lep p ZH lep < 60 H T ttH p < 120 H T ttH 60 < p < 200 H T ttH 120 < p < 300 H T ttH 200 < p > 300 H T ttH p tH 0 0.5 1 1.5 2 2.5 Ratio to SM 0 2 4 6 8 10 CMS (13 TeV) -1 137 fb STXS at work: H → 𝛄𝛄 Marco Delmastro Twelve years with the Higgs boson 46 JHEP 07 (2023) 088 JHEP 07 (2021) 027 2 − 0 2 4 6 8 10 SM ) γ γ B ⋅ σ )/( γ γ B ⋅ σ ( tH 300 ≥ H T ttH, p < 300 H T p ≤ ttH, 200 < 200 H T p ≤ ttH, 120 < 120 H T p ≤ ttH, 60 < 60 H T ttH, p 150 ≥ V t , p ν ν Hll/ → pp < 150 V t , p ν ν Hll/ → pp 150 ≥ V t , p ν Hl → qq < 150 V t , p ν Hl → qq 200 ≥ H T 1000, p ≥ jj 2-jets, m ≥ Hqq', → qq' 200 ≥ H T < 1000, p jj m ≤ 2-jets, 350 ≥ Hqq', → qq' < 200 H T 1000, p ≥ jj 2-jets, m ≥ Hqq', → qq' < 200 H T < 1000, p jj m ≤ 2-jets, 700 ≥ Hqq', → qq' < 200 H T < 700, p jj m ≤ 2-jets, 350 ≥ Hqq', → qq' 2-jets, VH-had ≥ Hqq', → qq' 1-jet and VH-Veto ≤ Hqq', → qq' 450 ≥ H T H, p → gg < 450 H T p ≤ H, 300 → gg < 300 H T p ≤ H, 200 → gg < 200 H T 350, p ≥ jj 2-jets, m ≥ H, → gg < 200 H T p ≤ < 350, 120 jj 2-jets, m ≥ H, → gg < 120 H T < 350, p jj 2-jets, m ≥ H, → gg < 200 H T p ≤ H, 1-jet, 120 → gg < 120 H T p ≤ H, 1-jet, 60 → gg < 60 H T H, 1-jet, p → gg < 200 H T p ≤ H, 0-jet, 10 → gg < 10 H T H, 0-jet, p → gg 1 − 0 1 2 3 4 5 6 ATLAS -1 =13 TeV, 139 fb s |<2.5 H = 125.09 GeV |y H m γ γ → H p-value = 93% Obs + Tot. Unc. Syst. unc. SM + Theo. unc. Tot. Stat. Syst. 3 − 4 + 2 3 − 4 + 1 − 1 + ( ) 0.7 − 0.9 + 1.1 0.7 − 0.9 + 0.1 − 0.2 + ( ) 0.6 − 0.8 + 1.2 0.6 − 0.8 + 0.1 − 0.1 + ( ) 0.5 − 0.6 + 0.6 0.5 − 0.6 + 0.1 − 0.1 + ( ) 0.5 − 0.6 + 0.8 0.5 − 0.6 + 0.0 − 0.1 + ( ) 0.7 − 0.8 + 0.8 0.7 − 0.8 + 0.1 − 0.1 + ( ) 0.9 − 1.1 + 0.4 0.9 − 1.1 + 0.2 − 0.2 + ( ) 0.2 − 0.9 + -0.6 0.2 − 0.9 + 0.0 − 0.1 + ( ) 0.9 − 1.1 + 1.6 0.9 − 1.1 + 0.1 − 0.1 + ( ) 0.7 − 0.8 + 1.8 0.7 − 0.8 + 0.1 − 0.2 + ( ) 0.5 − 0.6 + 1.6 0.5 − 0.6 + 0.2 − 0.3 + ( ) 0.6 − 0.7 + 0.2 0.6 − 0.7 + 0.1 − 0.1 + ( ) 0.35 − 0.43 + 1.19 0.30 − 0.33 + 0.19 − 0.28 + ( ) 0.6 − 0.8 + 1.4 0.6 − 0.7 + 0.2 − 0.4 + ( ) 0.6 − 0.8 + 1.2 0.5 − 0.6 + 0.2 − 0.5 + ( ) 0.6 − 0.7 + 0.2 0.6 − 0.7 + 0.1 − 0.1 + ( ) 0.8 − 0.9 + 0.9 0.8 − 0.8 + 0.2 − 0.3 + ( ) 1.1 − 1.4 + 2.1 1.1 − 1.4 + 0.2 − 0.4 + ( ) 0.5 − 0.5 + 0.2 0.4 − 0.5 + 0.1 − 0.1 + ( ) 0.4 − 0.4 + 1.6 0.4 − 0.4 + 0.1 − 0.2 + ( ) 0.9 − 0.9 + 1.0 0.8 − 0.8 + 0.4 − 0.3 + ( ) 0.5 − 0.5 + 1.3 0.4 − 0.5 + 0.1 − 0.1 + ( ) 0.5 − 0.5 + 0.6 0.5 − 0.5 + 0.1 − 0.2 + ( ) 0.5 − 0.5 + 1.0 0.5 − 0.5 + 0.1 − 0.2 + ( ) 0.34 − 0.38 + 1.11 0.30 − 0.30 + 0.16 − 0.22 + ( ) 0.35 − 0.36 + 1.07 0.34 − 0.34 + 0.11 − 0.14 + ( ) 0.17 − 0.18 + 1.23 0.15 − 0.15 + 0.09 − 0.10 + ( ) 0.27 − 0.28 + 0.67 0.25 − 0.25 + 0.10 − 0.13 + ( )
  • 47.
    2 − 10 1 − 10 1 10 2 10 (fb) Β obs σ Observed syst) ⊕ (stat σ 1 ± (syst) σ 1 ± SM prediction 4.0 − 3.9 + 9.4 7 − 8 + 58 5 − 6 + 13 3 − 3 + 14 0.9 − 0.9 + 2.6 3.6 − 3.6 + 3.7 0.00 − 2.72 + 0.00 0.62 − 1.06 + 0.62 0.4 − 0.5 + 1.1 0.16 − 0.19 + 0.16 0.08 − 0.10 + 0.10 1.1 − 1.2 + 1.3 1.6 − 1.8 + 3.5 0.63 − 0.64 + 0.97 0.15 − 1.08 + 0.15 1.2 − 1.2 + 1.5 0.22 − 0.24 + 0.51 0.54 − 0.68 + 0.71 0.32 − 0.37 + 0.44 0.09 − 0.12 + 0.12 0.35 − 0.41 + 0.71 0.19 − 0.24 + 0.19 0.22 − 0.26 + 0.50 0.14 − 0.17 + 0.24 0.09 − 0.11 + 0.11 0.00 − 0.08 + 0.00 0.9 − 0.7 + 1.7 | <2.5 H , |y γ γ → H STXS stage 1.2: minimal = 70% SM p = 125.38 GeV, H m H T ggH 0J low p H T ggH 0J high p H T ggH 1J low p H T ggH 1J med p H T ggH 1J high p H T 2J low p ≥ ggH H T 2J med p ≥ ggH H T 2J high p ≥ ggH < 300 H T ggH BSM 200 < p < 450 H T ggH BSM 300 < p > 450 H T ggH BSM p Hjj T p low jj VBF-like low m Hjj T p high jj VBF-like low m Hjj T p low jj VBF-like high m Hjj T p high jj VBF-like high m qqH VH-like qqH BSM < 75 V T WH lep p < 150 V T WH lep 75 < p > 150 V T WH lep p ZH lep < 60 H T ttH p < 120 H T ttH 60 < p < 200 H T ttH 120 < p < 300 H T ttH 200 < p > 300 H T ttH p tH 0 0.5 1 1.5 2 2.5 Ratio to SM 0 2 4 6 8 10 CMS (13 TeV) -1 137 fb STXS at work: H → 𝛄𝛄 Marco Delmastro Twelve years with the Higgs boson 47 arXiv:2207.00348 JHEP 07 (2021) 027 2 − 0 2 4 6 8 10 SM ) γ γ B ⋅ σ )/( γ γ B ⋅ σ ( tH 300 ≥ H T ttH, p < 300 H T p ≤ ttH, 200 < 200 H T p ≤ ttH, 120 < 120 H T p ≤ ttH, 60 < 60 H T ttH, p 150 ≥ V t , p ν ν Hll/ → pp < 150 V t , p ν ν Hll/ → pp 150 ≥ V t , p ν Hl → qq < 150 V t , p ν Hl → qq 200 ≥ H T 1000, p ≥ jj 2-jets, m ≥ Hqq', → qq' 200 ≥ H T < 1000, p jj m ≤ 2-jets, 350 ≥ Hqq', → qq' < 200 H T 1000, p ≥ jj 2-jets, m ≥ Hqq', → qq' < 200 H T < 1000, p jj m ≤ 2-jets, 700 ≥ Hqq', → qq' < 200 H T < 700, p jj m ≤ 2-jets, 350 ≥ Hqq', → qq' 2-jets, VH-had ≥ Hqq', → qq' 1-jet and VH-Veto ≤ Hqq', → qq' 450 ≥ H T H, p → gg < 450 H T p ≤ H, 300 → gg < 300 H T p ≤ H, 200 → gg < 200 H T 350, p ≥ jj 2-jets, m ≥ H, → gg < 200 H T p ≤ < 350, 120 jj 2-jets, m ≥ H, → gg < 120 H T < 350, p jj 2-jets, m ≥ H, → gg < 200 H T p ≤ H, 1-jet, 120 → gg < 120 H T p ≤ H, 1-jet, 60 → gg < 60 H T H, 1-jet, p → gg < 200 H T p ≤ H, 0-jet, 10 → gg < 10 H T H, 0-jet, p → gg 1 − 0 1 2 3 4 5 6 ATLAS -1 =13 TeV, 139 fb s |<2.5 H = 125.09 GeV |y H m γ γ → H p-value = 93% Obs + Tot. Unc. Syst. unc. SM + Theo. unc. Tot. Stat. Syst. 3 − 4 + 2 3 − 4 + 1 − 1 + ( ) 0.7 − 0.9 + 1.1 0.7 − 0.9 + 0.1 − 0.2 + ( ) 0.6 − 0.8 + 1.2 0.6 − 0.8 + 0.1 − 0.1 + ( ) 0.5 − 0.6 + 0.6 0.5 − 0.6 + 0.1 − 0.1 + ( ) 0.5 − 0.6 + 0.8 0.5 − 0.6 + 0.0 − 0.1 + ( ) 0.7 − 0.8 + 0.8 0.7 − 0.8 + 0.1 − 0.1 + ( ) 0.9 − 1.1 + 0.4 0.9 − 1.1 + 0.2 − 0.2 + ( ) 0.2 − 0.9 + -0.6 0.2 − 0.9 + 0.0 − 0.1 + ( ) 0.9 − 1.1 + 1.6 0.9 − 1.1 + 0.1 − 0.1 + ( ) 0.7 − 0.8 + 1.8 0.7 − 0.8 + 0.1 − 0.2 + ( ) 0.5 − 0.6 + 1.6 0.5 − 0.6 + 0.2 − 0.3 + ( ) 0.6 − 0.7 + 0.2 0.6 − 0.7 + 0.1 − 0.1 + ( ) 0.35 − 0.43 + 1.19 0.30 − 0.33 + 0.19 − 0.28 + ( ) 0.6 − 0.8 + 1.4 0.6 − 0.7 + 0.2 − 0.4 + ( ) 0.6 − 0.8 + 1.2 0.5 − 0.6 + 0.2 − 0.5 + ( ) 0.6 − 0.7 + 0.2 0.6 − 0.7 + 0.1 − 0.1 + ( ) 0.8 − 0.9 + 0.9 0.8 − 0.8 + 0.2 − 0.3 + ( ) 1.1 − 1.4 + 2.1 1.1 − 1.4 + 0.2 − 0.4 + ( ) 0.5 − 0.5 + 0.2 0.4 − 0.5 + 0.1 − 0.1 + ( ) 0.4 − 0.4 + 1.6 0.4 − 0.4 + 0.1 − 0.2 + ( ) 0.9 − 0.9 + 1.0 0.8 − 0.8 + 0.4 − 0.3 + ( ) 0.5 − 0.5 + 1.3 0.4 − 0.5 + 0.1 − 0.1 + ( ) 0.5 − 0.5 + 0.6 0.5 − 0.5 + 0.1 − 0.2 + ( ) 0.5 − 0.5 + 1.0 0.5 − 0.5 + 0.1 − 0.2 + ( ) 0.34 − 0.38 + 1.11 0.30 − 0.30 + 0.16 − 0.22 + ( ) 0.35 − 0.36 + 1.07 0.34 − 0.34 + 0.11 − 0.14 + ( ) 0.17 − 0.18 + 1.23 0.15 − 0.15 + 0.09 − 0.10 + ( ) 0.27 − 0.28 + 0.67 0.25 − 0.25 + 0.10 − 0.13 + ( ) • Differential measurement of pT H in ttH SM prediction 0.16 − 0.19 + 0.16 0.08 − 0.10 + 0.10 1.1 − 1.2 + 1.3 0.63 − 0.64 + 0.97 0.15 − 1.08 + 0.15 1.2 − 1.5 0.22 − 0.24 + 0.51 0.54 − 0.68 + 0.71 0.32 − 0.37 + 0.44 0.09 − 0.12 + 0.12 0.35 − 0.41 + 0.71 0.19 − 0.24 + 0.19 0.22 − 0.26 + 0.50 0.14 − 0.17 + 0.24 0.09 − 0.11 + 0.11 0.00 − 0.08 + 0.00 0.9 − 0.7 + 1.7 < 450 H T H BSM 300 < p > 450 H T ggH BSM p Hjj T p low jj VBF-like low m Hjj T p high jj BF-like low m Hjj T p low jj BF-like high m Hjj T p high jj BF-like high m qqH VH-like qqH BSM < 75 V T WH lep p < 150 V T WH lep 75 < p > 150 V T WH lep p ZH lep < 60 H T ttH p < 120 H T ttH 60 < p < 200 H T ttH 120 < p < 300 H T ttH 200 < p > 300 H T ttH p tH 0 2 4 6 8 10
  • 48.
    2 − 10 1 − 10 1 10 2 10 (fb) Β obs σ Observed syst) ⊕ (stat σ 1 ± (syst) σ 1 ± SM prediction 4.0 − 3.9 + 9.4 7 − 8 + 58 5 − 6 + 13 3 − 3 + 14 0.9 − 0.9 + 2.6 3.6 − 3.6 + 3.7 0.00 − 2.72 + 0.00 0.62 − 1.06 + 0.62 0.4 − 0.5 + 1.1 0.16 − 0.19 + 0.16 0.08 − 0.10 + 0.10 1.1 − 1.2 + 1.3 1.6 − 1.8 + 3.5 0.63 − 0.64 + 0.97 0.15 − 1.08 + 0.15 1.2 − 1.2 + 1.5 0.22 − 0.24 + 0.51 0.54 − 0.68 + 0.71 0.32 − 0.37 + 0.44 0.09 − 0.12 + 0.12 0.35 − 0.41 + 0.71 0.19 − 0.24 + 0.19 0.22 − 0.26 + 0.50 0.14 − 0.17 + 0.24 0.09 − 0.11 + 0.11 0.00 − 0.08 + 0.00 0.9 − 0.7 + 1.7 | <2.5 H , |y γ γ → H STXS stage 1.2: minimal = 70% SM p = 125.38 GeV, H m H T ggH 0J low p H T ggH 0J high p H T ggH 1J low p H T ggH 1J med p H T ggH 1J high p H T 2J low p ≥ ggH H T 2J med p ≥ ggH H T 2J high p ≥ ggH < 300 H T ggH BSM 200 < p < 450 H T ggH BSM 300 < p > 450 H T ggH BSM p Hjj T p low jj VBF-like low m Hjj T p high jj VBF-like low m Hjj T p low jj VBF-like high m Hjj T p high jj VBF-like high m qqH VH-like qqH BSM < 75 V T WH lep p < 150 V T WH lep 75 < p > 150 V T WH lep p ZH lep < 60 H T ttH p < 120 H T ttH 60 < p < 200 H T ttH 120 < p < 300 H T ttH 200 < p > 300 H T ttH p tH 0 0.5 1 1.5 2 2.5 Ratio to SM 0 2 4 6 8 10 CMS (13 TeV) -1 137 fb STXS at work: H → 𝛄𝛄 Marco Delmastro Twelve years with the Higgs boson 48 arXiv:2207.00348 JHEP 07 (2021) 027 2 − 0 2 4 6 8 10 SM ) γ γ B ⋅ σ )/( γ γ B ⋅ σ ( tH 300 ≥ H T ttH, p < 300 H T p ≤ ttH, 200 < 200 H T p ≤ ttH, 120 < 120 H T p ≤ ttH, 60 < 60 H T ttH, p 150 ≥ V t , p ν ν Hll/ → pp < 150 V t , p ν ν Hll/ → pp 150 ≥ V t , p ν Hl → qq < 150 V t , p ν Hl → qq 200 ≥ H T 1000, p ≥ jj 2-jets, m ≥ Hqq', → qq' 200 ≥ H T < 1000, p jj m ≤ 2-jets, 350 ≥ Hqq', → qq' < 200 H T 1000, p ≥ jj 2-jets, m ≥ Hqq', → qq' < 200 H T < 1000, p jj m ≤ 2-jets, 700 ≥ Hqq', → qq' < 200 H T < 700, p jj m ≤ 2-jets, 350 ≥ Hqq', → qq' 2-jets, VH-had ≥ Hqq', → qq' 1-jet and VH-Veto ≤ Hqq', → qq' 450 ≥ H T H, p → gg < 450 H T p ≤ H, 300 → gg < 300 H T p ≤ H, 200 → gg < 200 H T 350, p ≥ jj 2-jets, m ≥ H, → gg < 200 H T p ≤ < 350, 120 jj 2-jets, m ≥ H, → gg < 120 H T < 350, p jj 2-jets, m ≥ H, → gg < 200 H T p ≤ H, 1-jet, 120 → gg < 120 H T p ≤ H, 1-jet, 60 → gg < 60 H T H, 1-jet, p → gg < 200 H T p ≤ H, 0-jet, 10 → gg < 10 H T H, 0-jet, p → gg 1 − 0 1 2 3 4 5 6 ATLAS -1 =13 TeV, 139 fb s |<2.5 H = 125.09 GeV |y H m γ γ → H p-value = 93% Obs + Tot. Unc. Syst. unc. SM + Theo. unc. Tot. Stat. Syst. 3 − 4 + 2 3 − 4 + 1 − 1 + ( ) 0.7 − 0.9 + 1.1 0.7 − 0.9 + 0.1 − 0.2 + ( ) 0.6 − 0.8 + 1.2 0.6 − 0.8 + 0.1 − 0.1 + ( ) 0.5 − 0.6 + 0.6 0.5 − 0.6 + 0.1 − 0.1 + ( ) 0.5 − 0.6 + 0.8 0.5 − 0.6 + 0.0 − 0.1 + ( ) 0.7 − 0.8 + 0.8 0.7 − 0.8 + 0.1 − 0.1 + ( ) 0.9 − 1.1 + 0.4 0.9 − 1.1 + 0.2 − 0.2 + ( ) 0.2 − 0.9 + -0.6 0.2 − 0.9 + 0.0 − 0.1 + ( ) 0.9 − 1.1 + 1.6 0.9 − 1.1 + 0.1 − 0.1 + ( ) 0.7 − 0.8 + 1.8 0.7 − 0.8 + 0.1 − 0.2 + ( ) 0.5 − 0.6 + 1.6 0.5 − 0.6 + 0.2 − 0.3 + ( ) 0.6 − 0.7 + 0.2 0.6 − 0.7 + 0.1 − 0.1 + ( ) 0.35 − 0.43 + 1.19 0.30 − 0.33 + 0.19 − 0.28 + ( ) 0.6 − 0.8 + 1.4 0.6 − 0.7 + 0.2 − 0.4 + ( ) 0.6 − 0.8 + 1.2 0.5 − 0.6 + 0.2 − 0.5 + ( ) 0.6 − 0.7 + 0.2 0.6 − 0.7 + 0.1 − 0.1 + ( ) 0.8 − 0.9 + 0.9 0.8 − 0.8 + 0.2 − 0.3 + ( ) 1.1 − 1.4 + 2.1 1.1 − 1.4 + 0.2 − 0.4 + ( ) 0.5 − 0.5 + 0.2 0.4 − 0.5 + 0.1 − 0.1 + ( ) 0.4 − 0.4 + 1.6 0.4 − 0.4 + 0.1 − 0.2 + ( ) 0.9 − 0.9 + 1.0 0.8 − 0.8 + 0.4 − 0.3 + ( ) 0.5 − 0.5 + 1.3 0.4 − 0.5 + 0.1 − 0.1 + ( ) 0.5 − 0.5 + 0.6 0.5 − 0.5 + 0.1 − 0.2 + ( ) 0.5 − 0.5 + 1.0 0.5 − 0.5 + 0.1 − 0.2 + ( ) 0.34 − 0.38 + 1.11 0.30 − 0.30 + 0.16 − 0.22 + ( ) 0.35 − 0.36 + 1.07 0.34 − 0.34 + 0.11 − 0.14 + ( ) 0.17 − 0.18 + 1.23 0.15 − 0.15 + 0.09 − 0.10 + ( ) 0.27 − 0.28 + 0.67 0.25 − 0.25 + 0.10 − 0.13 + ( ) • Closing in on tH production ü ~10 ⨉ σtH SM excluded at 95% CL
  • 49.
    H → 𝛄𝛄as an example: Run 2 vs HL-LHC • While STXS measurement remains main current goal, traditional “production-mode” results (a.k.a. “Stage 0” STXS) still measured by more powerful decay channels and in combination • Already at Run 2 some measurement limited by systematics: more and more true in the future! Marco Delmastro Twelve years with the Higgs boson 49 0.8 0.9 1 1.1 1.2 1.3 1.4 SM x B) σ x B) / ( σ ( 0.5 − 5.2 Total Stat Syst SM ATLAS Preliminary -1 = 14 TeV, 3000 fb s |<2.5 H , |y γ γ → H Total Stat. Syst. top 0.06 ) ± 0.05 , ± ( - 0.07 + 0.08 1.00 VH ) - 0.04 + 0.05 0.08 , ± 0.09 ( ± 1.00 VBF 0.08 ) ± 0.04 , ± ( - 0.09 + 0.10 1.00 ggF+bbH 0.03 ) ± 0.02 , ± 0.04 ( ± 1.00 Projection from Run 2 data arXiv:1902.00134 2 − 1 − 0 1 2 3 4 5 6 SM H σ / H σ Total Stat. Syst. SM Preliminary ATLAS -1 = 13 TeV, 139 fb s = 125.09 GeV H , m γ γ → H Total Stat. Syst. ggF + bbH ) 0.06 0.07 ± 0.08 , ± 0.11 ( ± 1.02 VBF ) 0.16 0.18 ± 0.18 , ± ( 0.24 0.26 ± 1.34 WH ) 0.10 0.13 ± , 0.49 0.53 ± ( 0.50 0.55 ± 2.33 ZH ) 0.08 0.07 ± , 0.56 0.61 ± ( 0.57 0.61 ± -0.64 ttH + tH ) 0.07 0.09 ± , 0.23 0.25 ± ( 0.24 0.27 ± 0.92 ATLAS-CONF-2020-026
  • 50.
    Marco Delmastro Twelveyears with the Higgs boson 50 zoom on Higgs coupling to fermions PDG 2012 PDG 2022 8.
  • 51.
    Why is Yukawainteraction important? Marco Delmastro Twelve years with the Higgs boson 51 • Why is elementary mass important? Two ideas… ü Mass of quark u and d is responsible for difference of mass between neutron and proton, thus of proton stability, thus of existence of hydrogen atoms… ü Mass of electron determines Bohr radius, thus dimensions of atoms, thus all chemistry… In SMYukawa interaction between Higgs and fermions gives fermions their mass… <latexit sha1_base64="fhpCNAEU04Zb3fp5Aqq9LOaPNAo=">AAACCXicbVC7TsMwFHV4lvIKMLJYVEgsVElVAQtSBQtjkehDaqLKcZ3Wqu0E20GKoqws/AoLAwix8gds/A1umwFajnSl43Pule89Qcyo0o7zbS0tr6yurZc2yptb2zu79t5+W0WJxKSFIxbJboAUYVSQlqaakW4sCeIBI51gfD3xOw9EKhqJO53GxOdoKGhIMdJG6tuQ9ym8hKfQCyXCWWpenkjyzFP3Ume1PO/bFafqTAEXiVuQCijQ7Ntf3iDCCSdCY4aU6rlOrP0MSU0xI3nZSxSJER6jIekZKhAnys+ml+Tw2CgDGEbSlNBwqv6eyBBXKuWB6eRIj9S8NxH/83qJDi/8jIo40UTg2UdhwqCO4CQWOKCSYM1SQxCW1OwK8QiZSLQJr2xCcOdPXiTtWtU9q9Zv65XGVRFHCRyCI3ACXHAOGuAGNEELYPAInsEreLOerBfr3fqYtS5ZxcwB+APr8wfDOJnL</latexit> mi = yi⌫ p 2 <latexit sha1_base64="z1bzfuT2pOSba8piZGnLZAmf4Ns=">AAACCXicbVC7SgNBFJ2Nrxhfq5Y2g0GwCrsiaiMEbSwjmAdklzA7mU2GzMyu8xDCsq2Nv2JjoYitf2Dn3zhJttDEAxcO59w7c++JUkaV9rxvp7S0vLK6Vl6vbGxube+4u3stlRiJSRMnLJGdCCnCqCBNTTUjnVQSxCNG2tHoeuK3H4hUNBF3epySkKOBoDHFSFup58JAGHgJg1ginAXc5Fmg7qXOAmbf6KM877lVr+ZNAReJX5AqKNDouV9BP8GGE6ExQ0p1fS/VYYakppiRvBIYRVKER2hAupYKxIkKs+klOTyySh/GibQlNJyqvycyxJUa88h2cqSHat6biP95XaPjizCjIjWaCDz7KDYM6gROYoF9KgnWbGwJwpLaXSEeIhuKtuFVbAj+/MmLpHVS889qp7en1fpVEUcZHIBDcAx8cA7q4AY0QBNg8AiewSt4c56cF+fd+Zi1lpxiZh/8gfP5AzLpmrE=</latexit> ⌫ = µ p
  • 52.
    6 8 1012 14 16 [TeV] s 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 H) [pb] t t Æ (pp σ ATLAS Theory (NLO QCD + NLO EW) Combined data Stat. only Total 1 − 0 1 2 3 4 5 6 7 H t t µ Combined 13 TeV 7+8 TeV ) b H(b t t ) - τ + τ H( t t ) γ γ H( t t H(ZZ*) t t H(WW*) t t (13 TeV) -1 (8 TeV) + 35.9 fb -1 (7 TeV) + 19.7 fb -1 5.1 fb CMS Observed syst) ⊕ (stat σ 1 ± (syst) σ 1 ± syst) ⊕ (stat σ 2 ± Coupling to top quark: direct observation of ttH in 2018! Marco Delmastro Twelve years with the Higgs boson 52 Probing Higgs Couplings at the LHC 4 The Higgs boson at the LHC. Higgs boson production g g H t q H q q q V H V q q̄ V g g H t t̄ Main production channel 2 forward jets, little hadronic activity in between Tag W and Z leptonic and hadronic decays Tag 2 top quarks Higgs boson decays [GeV] H M 100 120 140 160 180 200 Higgs BR + Total Uncert -3 10 -2 10 -1 10 1 LHC HIGGS XS WG 2011 b b τ τ c c gg γ γ γ Z WW ZZ 5 main decay channels at LHC Decay branching fractions @ mH = 125 GeV H ! bb̄ 57.7% H ! W W ⇤ 21.5% H ! ⌧⌧ 6.3% H ! ZZ⇤ 2.6% H ! 0.23% () Oct 28, 2014 6 / 29 [GeV] H M 80 100 120 140 160 180 200 Higgs BR + Total Uncert -4 10 -3 10 -2 10 -1 10 1 LHC HIGGS XS WG 2013 b b τ τ µ µ c c gg γ γ γ Z WW ZZ • H→bb: 58 % • H→WW*: 21% • H→τ+τ-: 6.3% • H→ZZ*: 2.6% • H→γγ: 0.23% 5 key decay channels Decay branching fractions for mH = 125 GeV Tag 2 top quarks Main production channel: gluon- gluon fusion 2 forward jets, little central hadronic activity Tag W and Z decays 6.9M 3.8 pb 520k 2.3 pb 320k 0.5 pb 70k 49 pb 4 main production modes σ [pb] #Higgs produced during Run-2 yt Probing Higgs Couplings at the LHC 4 The Higgs boson at the LHC. Higgs boson production g g H t q H q q q V H V q q̄ V g g H t t̄ Main production channel 2 forward jets, little hadronic activity in between Tag W and Z leptonic and hadronic decays Tag 2 top quarks Higgs boson decays [GeV] H M 100 120 140 160 180 200 Higgs BR + Total Uncert -3 10 -2 10 -1 10 1 LHC HIGGS XS WG 2011 b b τ τ c c gg γ γ γ Z WW ZZ 5 main decay channels at LHC Decay branching fractions @ mH = 125 GeV H ! bb̄ 57.7% H ! W W ⇤ 21.5% H ! ⌧⌧ 6.3% H ! ZZ⇤ 2.6% H ! 0.23% () Oct 28, 2014 6 / 29 [GeV] H M 80 100 120 140 160 180 200 Higgs BR + Total Uncert -4 10 -3 10 -2 10 -1 10 1 LHC HIGGS XS WG 2013 b b τ τ µ µ c c gg γ γ γ Z WW ZZ • H→bb: 58 % • H→WW*: 21% • H→τ+τ-: 6.3% • H→ZZ*: 2.6% • H→γγ: 0.23% 5 key decay channels Decay branching fractions for mH = 125 GeV Tag 2 top quarks Main production channel: gluon- gluon fusion 2 forward jets, little central hadronic activity Tag W and Z decays 6.9M 3.8 pb 520k 2.3 pb 320k 0.5 pb 70k 49 pb 4 main production modes σ [pb] #Higgs produced during Run-2 yt arXiv:1804.02610 CMS (Run 1 + 36 fb-1 Run 2): 5.2 σ (4.2 σ exp) arXiv:1806.00425 ATLAS: (Run 1 + 36-80 fb-1 Run 2): 6.3 σ (5.1 σ exp)
  • 53.
    Marco Delmastro Twelveyears with the Higgs boson 53
  • 54.
    m(jj) [GeV] 60 80100 120 140 160 S/(S+B) weighted entries 0 500 1000 Data b b → VH,H b b → VZ,Z S+B uncertainty CMS (13 TeV) -1 77.2 fb Coupling to bottom quark: observation of VH/Hàbb in 2018! • Difficult channel despite large BR(58%) due to large backgrounds ü VH production most sensitive à Observation in 2018! • ATLAS: 5.4σ (5.5σ) • CMS: 5.5σ (5.6σ) Marco Delmastro Twelve years with the Higgs boson 54 µ Best fit 0 1 2 3 4 5 6 7 8 9 Combined ZH WH ttH VBF ggF stat syst 0.14 ± 0.14 ± 1.04 0.16 ± 0.24 ± 0.88 0.24 ± 0.29 ± 1.24 0.37 ± 0.23 ± 0.85 1.17 ± 0.98 ± 2.53 1.30 ± 2.08 ± 2.80 CMS (13 TeV) -1 77.2 fb ≤ (8 TeV) + -1 19.8 fb ≤ (7 TeV) + -1 5.1 fb ≤ b b → H Observed syst) ⊕ (stat σ 1 ± (syst) σ 1 ± CMS: arXiv:1808.08242 ATLAS: arXiv:1808.08238 CMS: arXiv:1808.08242 qq̄′ → W H 0-jet 1-jet ≥ 2-jet gg → ZH 0-jet 1-jet ≥ 2-jet qq̄ → ZH 0-jet 1-jet ≥ 2-jet V H = V (→ leptons)H 75 0 150 250 400 ∞ pV T Stage 1.2 1 10 2 10 3 10 [fb] lep V B × b b H B × VH STXS σ ATLAS Preliminary -1 =13 TeV, 139 fb s V = W V = Z lep. (resolved + boosted) → , V b b → VH, H Observed Expected Theo. unc. Boosted (PLB 816 136204) Resolved (EPJC 81 178) Combined < 250 GeV W,t T 150 < p < 400 GeV W,t T 250 < p > 400 GeV W,t T p < 150 GeV Z,t T 75 < p < 250 GeV Z,t T 150 < p < 400 GeV Z,t T 250 < p > 400 GeV Z,t T p 0 1 2 Ratio to SM ATLAS-CONF-2021-051
  • 55.
    Coupling to 3rdgeneration leptons: Hàττ • Observation already in Run 1 ATLAS+CMS coupling combination • Now more precise measurements, bringing sensitivity to regions of the phase space less well measured by e.g. H → γγ and H → 4l ü i.e. ggF high pT H and especially VBF Marco Delmastro Twelve years with the Higgs boson 55 10 2 10 3 10 4 10 B (fb) σ Observed (stat.) σ 1 ± σ 1 ± Uncertainty in SM prediction -370 +394 2960 -552 +592 3060 -73.3 +75.3 221 -792 +864 -964 -510 +519 -756 -261 +264 1010 -47.1 +51.9 99.1 -271 +251 19.0 -24.5 +24.3 24.2 -7.90 +7.82 13.0 -515 +552 374 -46.0 +45.8 -18.9 -17.3 +17.7 32.9 -4.17 +4.40 6.41 CMS Preliminary (13 TeV) -1 137 fb Process-based τ τ → H τ τ → ggH τ τ → qqH ggH-0j/pT<200 ggH-1j/pT[0-60] ggH-1j/pT[60-120] ggH-1j/pT[120-200] ggH-2j/pT<200 ggH/pT[200,300] ggH/pT>300 qqH non-VBF topo qqH-2j/mJJ[350-700] qqH-2j/mJJ>700 qqH-2j/pT>200 3 − 2 − 1 − 0 1 2 3 4 Ratio to SM CMS-PAS-HIG-19-010 1 /. 3 ,,./ . / / ( /2 / ) ,0 . (.( /( ( 3 / ) 5(/32 ( ( ) 7 .. 2 3 / (13 ,/36 3 (1 104/ 2 ,2, (/3,),( ( 7 3 1 10 2 10 3 10 4 10 [fb] τ τ H B × i σ ATLAS -1 = 13 TeV, 139 fb s = 95 % SM p | 2.5) H cross-sections (|y τ τ → H Observed Tot. unc. Stat. unc. Expected Theo. unc. 0 2 4 Ratio to SM N(jets): (H) [GeV]: T p [GeV]: jj m 1 ≥ 1 2 ≥ 0 ≥ 0 ≥ 2 ≥ 2 ≥ 2 ≥ [60, 120] [120, 200] [200, 300] [ ∞ [300, [0, 200] ♠ [0, 350] [0, 350] [ ∞ [350, [60, 120] [ ∞ [350, qq)H → Z( → gluon fusion + gg qq)H → VBF + V( ttH JHEP 08 (2022) 175 ggF high pTH VBF high mjj
  • 56.
    Marco Delmastro Twelveyears with the Higgs boson 56 couplings to bosons established couplings to 3rd generation fermions observed couplings to 2nd generation fermion? Is the Higgs boson responsible for the EW symmetry breaking also responsible for the masses of fermions? Is the Higgs boson responsible for the masses of all fermions?
  • 57.
    Coupling to 2ndgeneration leptons: H൵ evidence in 2020! • H൵ very rare (BR ~ 2 10-4) with large resonant background from DYà µµ (S/B ~ 0.1%) Marco Delmastro Twelve years with the Higgs boson 57 JHEP 01 (2021) 148 PLB 812(2021) 135980 [GeV] µ µ m 100 200 300 400 500 600 700 Weighted Events / 2 GeV ATLAS -1 = 13 TeV, 139 fb s , ln(1 + S/B) weighted µ µ → H Data Total pdf Signal pdf Bkg. pdf 110 115 120 125 130 135 140 145 150 155 160 [GeV] µ µ m 2 − 0 2 Data - Bkg. µ = 1.2 ± 0.2 Significance: 3.0 σ (2.5 expected) µ = 1.2 ± 0.6 Significance: 2.0 σ (1.7 expected)
  • 58.
    30 − 20 − 10 −0 10 20 30 c κ 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 ) c κ / L c κ - ln(L 95% CL Comb. (obs.) Comb. (exp.) 0-lepton (obs.) 1-lepton (obs.) 2-lepton (obs.) ATLAS c c → VH, H -1 = 13 TeV, 139 fb s | 8.5 at 95% CL c κ | The next frontier: coupling to 2nd generation quarks Hàcc • Very challenging channel: large backgrounds from multi-jets ü c-tagging needed to discriminate H → bb Marco Delmastro Twelve years with the Higgs boson 58 60 80 100 120 140 160 180 200 [GeV] cj m 500 − 0 500 1000 1500 2000 2500 3000 3500 Events after B-subtraction / 10 GeV Data =-9) µ ) ( c c → VH( =1.16) µ ) ( c c → VZ( =0.83) µ cq) ( → VW( B-only uncertainty 26 × ) c c → SM VH( ATLAS -1 = 13 TeV, 139 fb s 0+1+2 leptons 1 c-tag, All SR VZ,VW: 3.8 σ forVW(→cq) Eur. Phys. J. C 82 (2022) 717 limits on κc coupling ATLAS: κc = σ/σSM 8.5 (12.4 exp.) CMS: 1.1 κc 5.5 ( 3.4 exp.) Phys. Rev. Lett. 131 (2023) 061801 Zàcc: 5.7 σ
  • 59.
    2 − 1.5 − 1 −0.5 − 0 0.5 1 1.5 2 b κ 3 − 2 − 1 − 0 1 2 3 4 c κ SM σ 1 ± σ 2 ± CMS Phase-2 Projection Preliminary (14 TeV) -1 3000 fb Will we observe Hàcc in the future? • Extrapolations to HL-LHC luminosity ü Sensitivity to kc (and kb) from ATLAS VH/Hàcc and VH/Hàbb analyses Sensitivity to kc and kb from CMS pT H differential measurements Marco Delmastro Twelve years with the Higgs boson 59 2 − 1 . 5 − 1 − 0 . 5 − 0 0 . 5 1 1 . 5 2 b κ 4 − 2 − 0 2 4 6 8 1 0 c κ E x p e c t e d 6 8 % C L E x p e c t e d 9 5 % C L S M A T L A S P r e l i m i n a r y - 1 = 1 4 T e V , 3 0 0 0 f b s P r o j e c t i o n f r o m R u n 2 d a t a ) c , c b b → V H ( 4 − 2 − 0 2 4 c κ 0 0.5 1 1.5 2 2.5 3 ) max L L - log( 68% CL 95% CL Combined (exp.) 0 lepton (exp.) 1 lepton (exp.) 2 lepton (exp.) ATLAS Preliminary -1 = 14 TeV, 3000 fb s Projection from Run 2 data ) c c → VH( κc = σ/σSM 3 @ 95% CL ATL-PHYS-PUB-2021-039 arXiv:1902.00134 Phys. Rev. Lett. 131 (2023) 061801
  • 60.
    Marco Delmastro Twelveyears with the Higgs boson 60 One for all, all for one! 9.
  • 61.
    4 − 10 3 − 10 2 − 10 1 − 10 1 vev V m V κ or vev F m F κ Run 2 ATLAS µ c τ b W Z t t κ = c κ isa free parameter c κ SM prediction 1 − 10 1 10 2 10 Particle mass [GeV] 0.8 1 1.2 1.4 V κ or F κ e ν µ ν τ ν u c t Leptons Quarks e µ τ d s b g γ Z W H Force carriers Higgs boson The Standard Model rules (over 3 order of magnitudes)! Marco Delmastro Twelve years with the Higgs boson 61 Nature 607 (2022) 52 Nature 607 (2022) 60
  • 62.
    Marco Delmastro Twelveyears with the Higgs boson 62 0 10 200 pH T [GeV] 0 10 20 30 σ [pb] = 0 jets 0 60 120 200 pH T [GeV] 0 5 10 σ [pb] = 1 jet 0 120 200 pH T [GeV] −2 0 2 4 σ [pb] mjj 350 GeV 0.0 0.5 1.0 1.5 σ [pb] mjj ≥ 350 GeV 200 300 450 ∞ pH T [GeV] 101 102 103 σ [fb] pH T ≥ 200 GeV −2 0 2 4 σ [pb] ≤ 1 jet VH-enriched VBF-enriched 0 1 2 3 σ [pb] mjj 350 GeV 350 700 1000 1500 ∞ mjj [GeV] 0 500 σ [fb] pH T 200 GeV 350 1000 ∞ mjj [GeV] 0 50 100 σ [fb] pH T ≥ 200 GeV 0 75 150 250 400 ∞ pW T [GeV] 100 101 102 103 σ [fb] qq' → WH → Hℓν 0 150 250 400 ∞ pZ T [GeV] 100 101 102 σ [fb] pp → ZH → Hℓℓ 0 60 120 200 300 450 ∞ pH T [GeV] 0 100 200 σ [fb] t ̄ tH 0 250 500 750 1000 σ [fb] tH ATLAS Run 2 Data (Total uncertainty) Syst. uncertainty SM prediction ≥ 2 jets pH T 200 GeV gg → H mjj ≥ 350 GeV ≥ 2 jets qq → qqH V(ℓℓ, ℓν)H Nature 607 (2022) 52
  • 63.
    How well dowe know the Higgs couplings? • Higgs couplings known to ~6-15% ü Some channel not included yet, or with partial statistics ü Expect more improvements in next ~2 years, also from ATLAS+CMS combination Marco Delmastro Twelve years with the Higgs boson 63 0.8 1 1.2 1.4 1.6 68% CL interval γ Z κ γ κ g κ µ κ τ κ b κ t κ W κ Z κ ATLAS Run 2 = 0 u. B = inv. B 1 ≤ V κ 0, ≥ u. B free, inv. B SM prediction Parameter value not allowed e ν µ ν τ ν u c t Leptons Quarks e µ τ d s b g γ Z W H Force carriers Higgs boson
  • 64.
    0 0.02 0.040.06 0.08 0.1 0.12 0.14 Expected uncertainty γ Z κ µ κ τ κ b κ t κ g κ Z κ W κ γ κ 9.8 4.3 1.9 3.7 3.4 2.5 1.5 1.7 1.8 6.4 7.2 1.7 1.7 3.8 1.0 1.5 0.9 0.8 3.2 1.3 1.3 3.1 0.9 1.1 2.1 0.9 0.8 1.2 0.7 0.6 1.3 0.8 0.7 1.3 0.8 1.0 Tot Stat Exp Th Uncertainty [%] CMS and ATLAS HL-LHC Projection per experiment -1 = 14 TeV, 3000 fb s Total Statistical Experimental Theory 2% 4% How well will we know the Higgs couplings? • 2-4% precision expected with 2 x 3000 fb-1 Marco Delmastro Twelve years with the Higgs boson 64 arXiv:1902.00134
  • 65.
    Marco Delmastro Twelveyears with the Higgs boson 65 Can the Higgs boson tell us something about new phenomena? 10.
  • 66.
    Can Higgs propertiesconstrain BSM phenomena today? • Most recent approach: Effective Field Theory (EFT) interpretation Marco Delmastro Twelve years with the Higgs boson 66 • Oi (n) affect rates and kinematics • STXS measurements and Higgs BR reparametrized in terms of dimension-six Wilson coefficients ci in Warsaw basis ü Correction for modified acceptance in H → 4l and H → lνlν ü U(3)5 flavor symmetry assumed, linearized in Wilson coefficients contribution (linear contribution ∝ Λ−2 , expected to be leading)
  • 67.
    Can Higgs propertiesconstrain BSM phenomena today? Marco Delmastro Twelve years with the Higgs boson 67
  • 68.
    EFT interpretation ofHiggs couplings: ci impact Marco Delmastro Twelve years with the Higgs boson 68 ATLAS Preliminary √s = 13 TeV 139 fb −1 ggH σ VBF σ VH σ ttH σ BR 0.2 0.4 0.6 0.8 1 unc. 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.02 HB c = 0.04 HWB c = 0.04 HW c = 0.4 uW c = 0.4 uB c = 1 HDD c = 0.4 W c 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.04 (3) Hq c = 0.2 Hd c = 0.2 Hu c = 0.2 (1) Hq c = 1 (1) Hl c = 1 He c = 1 eH c = 1 dH c 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 1 (3) Hl c = 1 ll c’ 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.01 HG c = 0.2 uG c = 1 uH c = 1 G c = 0.2 (31) qq c = 0.2 qq c = 0.2 (1) uu c = 1 (8) qu c = 1 (3) qq c 10 H T 0-jet, p 200 H T p ≤ 0-jet, 0 60 H T 1-jet, p 120 H T p ≤ 1-jet, 60 200 H T p ≤ 1-jet, 120 60 H T 2-jet, p ≥ 120 H T p ≤ 2-jet, 60 ≥ 200 H T p ≤ 2-jet, 120 ≥ 200 H T 700, p jj m ≤ 2-jet, 350 ≥ 200 H T , p jj m ≤ 2-jet, 700 ≥ 300 H T 200p 450 H T 300p H T 450p 1-jet ≤ 120 jj 60 |m jj 2-jet m ≥ 120 jj m ≤ 2-jet 60 ≥ 200 H T 350 p jj 2-jet m ≥ 200 H T 700 p jj 2-jet 350m ≥ 200 H T 1000 p jj 2-jet 700m ≥ 200 H T 1500 p jj 2-jet 1000m ≥ 200 H T 1500 p jj 2-jet m ≥ 75 V T p ≤ W H 0 150 V T p ≤ W H 75 250 V T p ≤ W H 150 400 V T p ≤ W H 250 V T p ≤ W H 400 150 V T p ≤ ZH 0 250 V T p ≤ ZH 150 400 V T p ≤ ZH 250 V T p ≤ ZH 400 60 H T p ≤ 0 120 H T p ≤ 60 200 H T p ≤ 120 300 H T p ≤ 200 450 H T p ≤ 300 450 H T p tH ZZ → H W W → H γ γ → H bb → H τ τ → H Measurement uncertainty in STXS bin / decay channel Relative effect of relevant operators
  • 69.
    EFT interpretation ofHiggs couplings: ci impact Marco Delmastro Twelve years with the Higgs boson 69 ATLAS Preliminary √s = 13 TeV 139 fb −1 ggH σ VBF σ VH σ ttH σ BR 0.2 0.4 0.6 0.8 1 unc. 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.02 HB c = 0.04 HWB c = 0.04 HW c = 0.4 uW c = 0.4 uB c = 1 HDD c = 0.4 W c 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.04 (3) Hq c = 0.2 Hd c = 0.2 Hu c = 0.2 (1) Hq c = 1 (1) Hl c = 1 He c = 1 eH c = 1 dH c 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 1 (3) Hl c = 1 ll c’ 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.01 HG c = 0.2 uG c = 1 uH c = 1 G c = 0.2 (31) qq c = 0.2 qq c = 0.2 (1) uu c = 1 (8) qu c = 1 (3) qq c 10 H T 0-jet, p 200 H T p ≤ 0-jet, 0 60 H T 1-jet, p 120 H T p ≤ 1-jet, 60 200 H T p ≤ 1-jet, 120 60 H T 2-jet, p ≥ 120 H T p ≤ 2-jet, 60 ≥ 200 H T p ≤ 2-jet, 120 ≥ 200 H T 700, p jj m ≤ 2-jet, 350 ≥ 200 H T , p jj m ≤ 2-jet, 700 ≥ 300 H T 200p 450 H T 300p H T 450p 1-jet ≤ 120 jj 60 |m jj 2-jet m ≥ 120 jj m ≤ 2-jet 60 ≥ 200 H T 350 p jj 2-jet m ≥ 200 H T 700 p jj 2-jet 350m ≥ 200 H T 1000 p jj 2-jet 700m ≥ 200 H T 1500 p jj 2-jet 1000m ≥ 200 H T 1500 p jj 2-jet m ≥ 75 V T p ≤ W H 0 150 V T p ≤ W H 75 250 V T p ≤ W H 150 400 V T p ≤ W H 250 V T p ≤ W H 400 150 V T p ≤ ZH 0 250 V T p ≤ ZH 150 400 V T p ≤ ZH 250 V T p ≤ ZH 400 60 H T p ≤ 0 120 H T p ≤ 60 200 H T p ≤ 120 300 H T p ≤ 200 450 H T p ≤ 300 450 H T p tH ZZ → H W W → H γ γ → H bb → H τ τ → H Measurement uncertainty in STXS bin / decay channel Relative effect of relevant operators O(1) effects for small values of cHB, cHW, cHWB (tree level H → γγ) VH σ ttH σ BR = 0.02 HB c = 0.04 HWB c = 0.04 HW c = 0.4 uW c = 0.4 uB c = 1 HDD c = 0.4 W c = 0.04 (3) Hq c = 0.2 Hd c = 0.2 Hu c = 0.2 (1) Hq c = 1 (1) Hl c = 1 He c = 1 eH c = 1 c H → 𝛄𝛄
  • 70.
    EFT interpretation ofHiggs couplings: ci impact Marco Delmastro Twelve years with the Higgs boson 70 ATLAS Preliminary √s = 13 TeV 139 fb −1 ggH σ VBF σ VH σ ttH σ BR 0.2 0.4 0.6 0.8 1 unc. 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.02 HB c = 0.04 HWB c = 0.04 HW c = 0.4 uW c = 0.4 uB c = 1 HDD c = 0.4 W c 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.04 (3) Hq c = 0.2 Hd c = 0.2 Hu c = 0.2 (1) Hq c = 1 (1) Hl c = 1 He c = 1 eH c = 1 dH c 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 1 (3) Hl c = 1 ll c’ 1 − 0.5 − 0 0.5 1 )/SM i B)(c × σ ( ∆ = 0.01 HG c = 0.2 uG c = 1 uH c = 1 G c = 0.2 (31) qq c = 0.2 qq c = 0.2 (1) uu c = 1 (8) qu c = 1 (3) qq c 10 H T 0-jet, p 200 H T p ≤ 0-jet, 0 60 H T 1-jet, p 120 H T p ≤ 1-jet, 60 200 H T p ≤ 1-jet, 120 60 H T 2-jet, p ≥ 120 H T p ≤ 2-jet, 60 ≥ 200 H T p ≤ 2-jet, 120 ≥ 200 H T 700, p jj m ≤ 2-jet, 350 ≥ 200 H T , p jj m ≤ 2-jet, 700 ≥ 300 H T 200p 450 H T 300p H T 450p 1-jet ≤ 120 jj 60 |m jj 2-jet m ≥ 120 jj m ≤ 2-jet 60 ≥ 200 H T 350 p jj 2-jet m ≥ 200 H T 700 p jj 2-jet 350m ≥ 200 H T 1000 p jj 2-jet 700m ≥ 200 H T 1500 p jj 2-jet 1000m ≥ 200 H T 1500 p jj 2-jet m ≥ 75 V T p ≤ W H 0 150 V T p ≤ W H 75 250 V T p ≤ W H 150 400 V T p ≤ W H 250 V T p ≤ W H 400 150 V T p ≤ ZH 0 250 V T p ≤ ZH 150 400 V T p ≤ ZH 250 V T p ≤ ZH 400 60 H T p ≤ 0 120 H T p ≤ 60 200 H T p ≤ 120 300 H T p ≤ 200 450 H T p ≤ 300 450 H T p tH ZZ → H W W → H γ γ → H bb → H τ τ → H Measurement uncertainty in STXS bin / decay channel Strong energy growt of effect of c(3) Hg, c(1) Hg, cHu, cHd WH ZH = 0.04 HW c = 0.4 uW c = 0.4 uB c = 1 HDD c = 0.4 W c = 0.04 (3) Hq c = 0.2 Hd c = 0.2 Hu c = 0.2 (1) Hq c = 1 (1) Hl c = 1 He c = 1 eH c = 1 dH c = 1 (3) Hl c = 1 ll c’ = 0.01 HG c = 0.2 uG c = 1 uH c
  • 71.
    EFT interpretation ofHiggs couplings • Simultaneously constraining all coefficients impossible • Fit performed in sensitive directions ü linear combinations informed by principal component analysis • Examples ü c[1] HG,uG,uH: linear comb. with strong impact on gg → H ü c[1] HW,HB,HWB,HDD,uW,uB,W: strong impact on H → 𝛄𝛄 ü c(3) Hq: unique impact on VH Marco Delmastro Twelve years with the Higgs boson 71 1 1 1 0.62 0.78 0.83 0.55 0.24 0.26 0.37 0.87 0.9 0.42 0.43 0.31 0.84 0.17 0.95 0.27 0.88 0.02 0.47 0.13 0.05 0.03 0.02 0.02 0.07 0.04 0.05 0.04 0.01 0.02 0.04 1 1 0.04 0.09 0.2 0.05 0.02 0.38 0.08 0.78 0.01 0.23 0.05 0.02 0.37 ATLAS Preliminary p s =13 TeV, 139 fb 1 1 0.8 0.6 0.4 0.2 0 0.2 0.4 0.6 0.8 1 c ( 3 ) H q c d H c e H c H e c ( 1 ) H l c ( 3 ) H l c 0 l l c H d c H u c ( 1 ) H q c H B c H W c H W B c H D D c W c u B c u W c H G c u G c u H c G c ( 8 ) q d c ( 1 ) q q c q q c ( 3 ) q q c ( 3 1 ) q q c ( 1 ) q u c ( 8 ) q u c ( 8 ) u d c u u c ( 1 ) u u c [1] top c [2] HG,uG,uH c [1] HG,uG,uH c [3] HW ,HB,HWB,HDD,uW ,uB,W c [2] HW ,HB,HWB,HDD,uW ,uB,W c [1] HW ,HB,HWB,HDD,uW ,uB,W c [2] Hu,Hd,Hq(1) c [1] Hu,Hd,Hq(1) c [1] Hl(3),ll0 c [1] Hl(1),He ceH cdH c(3) Hq 0.2 0.1 0 0.1 0.2 ATLAS Preliminary p s =13 TeV, 139 fb 1 mH = 125.09 GeV, |yH | 2.5 SMEFT ⇤ = 1 TeV c[1] HW,HB,HWB,HDD,uW,uB c(3) Hq c[1] HG,uG,uH,top (⇥10) 68 % CL 95 % CL Linear Linear + quadratic 2 1.5 1 0.5 0 0.5 1 1.5 2 c[2] HG,uG,uH,top c[1] Hu,Hd,Hq(1) c[2] HW,HB,HWB,HDD,uW,uB 10 8 6 4 2 0 2 4 6 8 10 c[3] HG,uG,uH,top c[1] Hl(3) ,ll0 c[1] Hl(1) ,He (⇥0.1) c[3] HW,HB,HWB,HDD,uW,uB Parameter Value
  • 72.
    Marco Delmastro Twelveyears with the Higgs boson 72 The SM missing piece 11 .
  • 73.
    Marco Delmastro Twelveyears with the Higgs boson 73 latexit sha1_base64=gAy+0xlpWca0hvyMbehnFCAjmaY=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/latexit V ( ) = V0 + 1 2 m2 HH2 + ⌫H3 + 1 4 H4 latexit sha1_base64=GxO25Tqi7v3asrbTl+QH1XYtk3A=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 V ( ) = µ2 † + ( † )2 latexit sha1_base64=gAy+0xlpWca0hvyMbehnFCAjmaY=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/latexit V ( ) = V0 + 1 2 m2 HH2 + ⌫H3 + 1 4 H4 latexit sha1_base64=gAy+0xlpWca0hvyMbehnFCAjmaY=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/latexit V ( ) = V0 + 1 2 m2 HH2 + ⌫H3 + 1 4 H4
  • 74.
    Can we accessthe Higgs self-coupling at the LHC? • Main avenues toward self-coupling measurement at LHC ü Direct: HH production ü Indirect: constraints from single Higgs measurements • HH production ü Very low cross-section (~1000x smaller than single Higgs!) ü Destructive interference between ggàHH processes Marco Delmastro Twelve years with the Higgs boson 74
  • 75.
    How to measuredi-Higgs production? Marco Delmastro Twelve years with the Higgs boson 75
  • 76.
    Closing in ondi-Higgs production! • Limits on kλ are improving dramatically, and there is more to be exploited (VBF production, combination of all channels and between ATLAS and CMS, …) • Di-Higgs studies will be a central aspect of the Run 3 (and of course HL-LHC)! Marco Delmastro Twelve years with the Higgs boson 76 Phys. Lett. B 843 (2024) 137745 Nature 607 (2022) 60
  • 77.
    Closing in ondi-Higgs production! • Di-Higgs studies will be a central aspect of the Run 3 (and of course HL-LHC)! Marco Delmastro Twelve years with the Higgs boson 77 arXiv:2211.01216 Nature 607 (2022) 60 -0.4 κλ 6.3 @ 95% CL -1.24 κλ 6.49 @ 95% CL
  • 78.
    When will wefinding the missing piece of the SM? Marco Delmastro Twelve years with the Higgs boson 78 arXiv:1902.00134 -2 0 2 4 6 kl 101 102 103 s ggF+VBF (HH) [fb] Expected: kl Œ [1.1,4.3] Baseline scenario ATLAS Preliminary p s = 14 TeV, 3000 fb-1 HH ! bb̄gg Projection from Run 2 data Expected limit (95% CL) Expected limit ±1s Expected limit ±2s Theory prediction (proj.) SM prediction A word of hope… We often do better than our projections! … and one of caution Sometimes projection are optimistic, and HL-LHC will present formidable challenges! ATL-PHYS-PUB-2022-001
  • 79.
    Marco Delmastro Twelveyears with the Higgs boson 79 The road ahead 12.
  • 80.
    We have aformidable tool to understand particle physics… • In 12 years we have measured with great precision many Higgs boson properties ü Mass, width, CP properties… ü Coupling properties and differential distributions… ü Closing in on coupling to 2nd generation, rare decays, self-interaction… ü Higgs as a tool to constrain New Physics... • The LHC has restarted in 2022 for its Run 3 and will operate for a long time… ü A unique opportunity to continue characterizing the Higgs sector! Marco Delmastro Twelve years with the Higgs boson 80 G. Giudice via F. Gianotti
  • 81.
    Marco Delmastro Twelveyears with the Higgs boson 81
  • 82.
    Marco Delmastro Twelveyears with the Higgs boson 82
  • 83.
    Marco Delmastro Twelveyears with the Higgs boson 83 Peter Higgs following the Higgs announcement seminar on July 4 2012
  • 84.
    Marco Delmastro Twelveyears with the Higgs boson 84 More material ei𝛑.
  • 85.
    The Standard Model MarcoDelmastro Twelve years with the Higgs boson 85
  • 86.
    Marco Delmastro Twelveyears with the Higgs boson 86
  • 87.
    140 150 160170 180 190 [GeV] t m 80.25 80.3 80.35 80.4 80.45 80.5 [GeV] W M 68% and 95% CL contours measurements t and m W Fit w/o M measurements H and M t , m W Fit w/o M measurements t and m W Direct M σ 1 ± comb. W M 0.013 GeV ± = 80.379 W M σ 1 ± comb. t m = 172.47 GeV t m = 0.46 GeV σ GeV theo 0.50 ⊕ = 0.46 σ = 125 GeV H M = 50 GeV H M = 300 GeV H M = 600 GeV H M Knowing the Higgs mass values… Marco Delmastro Twelve years with the Higgs boson 87 … allows to make precision predictions … questions us on vacuum (meta) stability 102 104 106 108 1010 1012 1014 1016 1018 1020 -0.04 -0.02 0.00 0.02 0.04 0.06 0.08 0.10 RGE scale m in GeV Higgs quartic coupling l 3s bands in Mt = 173.1 ± 0.6 GeV HgrayL a3HMZL = 0.1184 ± 0.0007HredL Mh = 125.7 ± 0.3 GeV HblueL Mt = 171.3 GeV asHMZL = 0.1163 asHMZL = 0.1205 Mt = 174.9 GeV 0 50 100 150 200 0 50 100 150 200 Higgs mass Mh in GeV Top mass M t in GeV Instability Non-perturbativity Stability Meta-stability latexit sha1_base64=DlHlwCsSaOcMjT50pC72fY6m5ZI=AAACUnicbVJbS8MwGM3mbc5b1UdfgkPYUEc7hvoiDH3xcYK7wNqNNM26sPRCkgqj9DcK4os/xBcf1LTbQDs/CJzvfNecxA4ZFVLX3wvFtfWNza3Sdnlnd2//QDs86oog4ph0cMAC3reRIIz6pCOpZKQfcoI8m5GePb1P471nwgUN/Cc5C4nlIdenY4qRVNRIo92q2Z7QGryFl6YXDRswdYemg1yX8BTDcxib2aABd20rNup6Zhd6HiQmU4MdlMBqvklt2BhplWUiXAXLrhWwsPZIezWdAEce8SVmSIiBoYfSihGXFDOSlM1IkBDhKXLJQEEfeURYcbZpAs8U48BxwNXxJczY3xUx8oSYebbK9JCciHwsJf+LDSI5vrFi6oeRJD6eDxpHDMoApvpCh3KCJZspgDCnaleIJ4gjLNUrlJUIRv7Kq6DbqBtX9eZjs9K6W8hRAifgFFSBAa5BCzyANugADF7AB/gC34W3wmdR/ZJ5arGwqDkGf6y4+wMgLq4j/latexit V ( ) = µ2 † + ( † )2 latexit sha1_base64=F+2k6ATD6pvRrGmPi8//VSZKJC8=AAACK3icbVBJSwMxGM241rqNevQSLIIHKTOlqBeh1EuPFewCnWHIpGkbmmTGJCOUYf6PF/+KBz244NX/YbqBtj4IPN77trwwZlRpx/mwVlbX1jc2c1v57Z3dvX374LCpokRi0sARi2Q7RIowKkhDU81IO5YE8ZCRVji8GfutByIVjcSdHsXE56gvaI9ipI0U2FUe1OA19NS91Gkp9SYTO7If+qlbdCY4dxZJ5jGzoYsymHkiCezC3IDLZD6lAGaoB/aL141wwonQmCGlOq4Taz9FUlPMSJb3EkVihIeoTzqGCsSJ8tPJZRk8NUoX9iJpntBwov7uSBFXasRDU8mRHqhFbyz+53US3bvyUyriRBOBp4t6CYM6guPgYJdKgjUbGYKwpOZWiAdIIqxNvHkTgrv45WXSLBXdi2L5tlyoVGdx5MAxOAFnwAWXoAJqoA4aAINH8AzewLv1ZL1an9bXtHTFmvUcgT+wvn8AVYOjdg==/latexit mH = p 2 ⌫ Vanishing quartic coupling at the Planck scale? Potential not bounded? … but interpretation more sensitive to precision on top quark mass Running of the Higgs self coupling, assuming SM only at high scale arXiv:1205.6497 Eur. Phys. J. C78, 675 (2018) 170 172 174 176 178 180 182 [GeV] t m 0 1 2 3 4 5 6 7 8 9 10 2 χ ∆ σ 1 σ 2 σ 3 measurements t SM fit w/o m measurements H and M t SM fit w/o m ATLAS [ATLAS-CONF-2017-071] CMS [PRD 93, 072004 (2016)] D0 [PRD 95, 112004 (2017)] CDF [CDF 11080 (2014)] 80.34 80.36 80.38 80.4 80.42 [GeV] W M 0 1 2 3 4 5 6 7 8 9 10 2 χ ∆ σ 1 σ 2 σ 3 measurements W SM fit w/o M measurements H and M W SM fit w/o M LEP [arXiv:1302.3415] Tevatron [arXiv:1204.0042] ATLAS [EPJC 78, 110 (2018)] … but current mH precision has little impact λ
  • 88.
    H𝜏𝜏 CP properties ofHiggs-τ coupling with Hà𝜏𝜏 Marco Delmastro Twelve years with the Higgs boson 88 latexit sha1_base64=7qYs1If7rGSo9H9Gy/3oD4IEcHk=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 LH⌧⌧ = m⌧ ⌫ ⌧ (cos ⌧ ¯ ⌧⌧ + sin ⌧ ¯ ⌧i 5⌧) H Effective Lagrangian forYukawa coupling to tau leptons parameterized by CP-Even and CP-odd components 0 60 120 180 240 300 360 (degrees) CP φ 0.02 0.04 0.06 0.08 0.1 a.u. even CP odd CP mix CP Z 13 TeV Simulation CMS - π + π → - τ + τ 33 GeV τ T p τ τ H α 2 α𝐻ττ (CMS) = φτ (ATLAS) Eur. Phys. J. C 83 (2023) 563 JHEP 06 (2022) 012 bin CP * ϕ 1 − 10 1 10 2 10 3 10 Events Data (best-fit) τ τ → H (best-fit) τ τ → Z ) ° = 0 τ φ ( τ τ → H τ Misidentified ) ° = 90 τ φ ( τ τ → H Other backgrounds Uncertainty ATLAS -1 = 13 TeV, 139 fb s High had τ had τ Boost_0 Boost_1 VBF_0 VBF_1 0 5 10 15 20 25 30 bin CP * ϕ 0 1 2 Data / Pred. ⇡ ⇡+ n⇤ n⇤+ '⇤ CP Uses either the impact parameter direction for single- prong taus ( ± ) or momentum for τ → ± ρ ντ (also for 3-prong decays with ρ →
  • 89.
    CP properties ofHiggs-τ coupling with Hà𝜏𝜏 Marco Delmastro Twelve years with the Higgs boson 89 80 − 60 − 40 − 20 − 0 20 40 60 80 [degrees] τ φ 0 1 2 3 4 5 6 7 ln(L) ∆ - (68% CL) ° 16 ± = 9 obs. τ φ Observed: (68% CL) ° 28 ± = 0 exp. τ φ Expected: σ 1 σ 2 σ 3 ATLAS -1 = 13 TeV, 139 fb s °90 °45 0 45 90 aHtt(degrees) 0 2 4 6 8 10 12 ° 2D log L CMS 137 fb°1 (13 TeV) 68.3% 95.5% 99.7% Observed: âHtt obs. = °1 ± 19 ±(68.3% CL) Expected: âHtt exp. = 0 ± 21 ±(68.3% CL) Observed: âHtt obs. = °1 ± 19 ±(68.3% CL) Expected: âHtt exp. = 0 ± 21 ±(68.3% CL) Eur. Phys. J. C 83 (2023) 563 α𝐻ττ(CMS) = φτ (ATLAS) φ𝜏 = -1 ± 19° (21° exp) pure CP-odd coupling excluded at 3 σ φ𝜏 = 9 ± 16° (28° exp) pure CP-odd coupling excluded at 3.4 σ JHEP 06 (2022) 012
  • 90.
    Hà𝜏𝜏 decay CP MarcoDelmastro Twelve years with the Higgs boson 90 ⇡ ⇡+ n⇤ n⇤+ '⇤ CP ⇢ ⇢+ ⇡0 ⇡ ⇡0 ⇡+ '⇤ CP ⇡ ⇢+ n⇤ ⇡0 ⇡+ '⇤ CP Impact parameter directional distance of closest approach of charged particle’s track to reconstructed PV of the event 4-vectors boosted to the rest frame of visible di-𝜏 Zero Momentum Frame (e.g. two decay charged particles) impact parameter ρ decay plane impact parameter + ρ decay plane
  • 91.
    1 − 0.8 − 0.6 −0.4 − 0.2 − 0 0.2 0.4 0.6 0.8 1 ggH a3 f 0 1 2 3 4 5 6 7 8 9 10 ln L ∆ 2 − + 4l τ τ Observed Expected 68% CL 95% CL CMS (13 TeV) -1 138 fb CP properties of Higgs-gluon coupling with ggF+VBF Marco Delmastro Twelve years with the Higgs boson 91 Hgg ATLAS: ∆Φjj ggF+VBF HàWW* CMS: ∆Φjj or MELA discriminant ggF+VBF Hà𝜏𝜏 arXiv:2109.13808 arXiv:2205.05120 0 500 1000 1500 2000 2500 3000 3500 Events / Bin Observation ggH SM H (125)x50 ggH PS H (125)x50 bkg. τ τ mis-ID h τ → jet Other Uncertainty (13 TeV) -1 138 fb CMS h τ h τ VBF Category 0 0.2 0.4 0.6 0.8 1 ggH 0- D 0.8 1 1.2 Obs. / Exp. 0 2 4 6 jj Φ ∆ 0.05 0.1 0.15 Event fraction CP even CP odd CP mixed ATLAS Simulation ν µ ν e → WW* → = 13 TeV, ggF H s | 3.0 jj η ∆ | 2 4 6 8 weights / bin Σ Observed Total unc. VBF ggF Other Higgs W + jets Z + jets Diboson , Wt t t -1 = 13 TeV, 36.1 fb s ν µ ν e → WW* → H VBF SR ATLAS 0 π π 2 jj Φ ∆ 0.6 0.8 1 1.2 1.4 Data / pred. 8 − 6 − 4 − 2 − 0 2 4 6 8 ) α tan( 0 0.2 0.4 0.6 0.8 1 1.2 NLL ∆ 2 σ 1 -1 =13 TeV, 36.1 fb s ν µ ν e → * WW → H = 1 gg κ fixed to SM, VBF µ ATLAS Expected Observed CP-even CP-odd interference ggF vs VBF ggF CP-even vs ggF CP-odd Hà𝜏𝜏 (combined with Hà4l) fa3 ggH parameterizes fraction of CP-odd BSM point-like Hgg coupling α parameterizes CP- even/CP-odd mixture on Hgg coupling shape only consistent with SM consistent with SM Study ggF+2 jets events: jet kinematics sensitive to Hgg coupling CP properties HàWW*
  • 92.
    H V V HVV 1 − 0.5 − 00.5 1 dec CP D 0 50 100 Events / bin Total =0.5 a3 VBF+VH f CMS (13 TeV) -1 137 fb 0.7 bkg 4l, Untagged, D → HVV, H 0 0.2 0.4 0.6 0.8 1 VH+dec 0- D 0 2 4 6 8 Events / bin CMS (13 TeV) -1 137 fb 0.2 bkg 4l, VH-hadronic, D → HVV, H CP properties of HVV coupling (mult. prod. + Hà4l) Marco Delmastro Twelve years with the Higgs boson 92 HVV couplings parameterized by tensor structures in scattering amplitude fa3 parameterizes fractional contribution of CP-odd HZZ coupling Multiple analyses constraining HVV couplings with ggH, VBF, VH, ttH, tH production and H→ττ, H→4l, H→γγ decay H q q q q V V HVV Phys. Rev. D 104, 052004 (2021) V V H q q HVV 0 0.2 0.4 0.6 0.8 1 VBF+dec 0- D 0 5 10 15 Events / bin CMS (13 TeV) -1 137 fb 0.2 bkg 4l, VBF-2jet, D → HVV, H SM a3 a2 f =1 =1 Λ1 f ZZ/Zγ* Z+X data HVV, H → 4ℓ Total VBF+VH CMS Zγ Λ1 f =1 f =1
  • 93.
    CP properties ofHVV coupling (mult. prod. + Hà4l; offshell) Marco Delmastro Twelve years with the Higgs boson 93 2 − 1.5 − 1 − 0.5 − 0 0.5 1 1.5 2 3 − 10 × a3 f 0 2 4 6 8 10 12 14 16 18 20 ln L ∆ 2 − + 4l τ τ Approach 2, Observed Expected 68% CL 95% CL CMS (13 TeV) -1 138 fb 0.005 − 0 0.005 a3 f 0 2 4 6 8 10 12 14 16 lnL ∆ -2 =4.1 MeV H Γ (u) H Γ On-shell 4l Observed Expected CMS (13 TeV) -1 140 fb ≤ 68% CL 95% CL Constraint from combined analyses Other anomalous HVV fixed to 0 𝑓a3 = 0.20 ⨉ 10-3 + 0.26 -0.16 Constraints from Hà4l onshell + off-shell Other anomalous couplings floated in fits 𝑓a3 = 0.024 ⨉ 10-3 + 0.32 -0.064 consistent with SM consistent with SM Phys. Rev. D 104, 052004 (2021) arXiv:2202.06923
  • 94.
    CP properties ofHVV coupling with VBF Marco Delmastro Twelve years with the Higgs boson 94 SM Lagrangian augmented with CP-odd dim-6 operators involving Higgs and EW gauge fields in EFT formalism 2 dedicated BDT’s (VBF vs ggF,VBF vs yy) Approach pursued with various decay modes, here most recent ATLAS Hà𝛄𝛄, then combined with 36 fb-1 Hà𝜏𝜏 Reference Optimal Observable V V V H V q̄ q q̄ q HVV latexit sha1_base64=/Jv6BXMQsA/o+NcH/q5rLeyeQZA=AAACG3icbVDNS8MwHE3n15xfVY9egkPwNNox1Isw9LKDhwnuA9Za0jTdwtK0JKkwSv8PL/4rXjwo4knw4H9jtvWgmw8Cj/feL8nv+QmjUlnWt1FaWV1b3yhvVra2d3b3zP2DroxTgUkHxywWfR9JwignHUUVI/1EEBT5jPT88fXU7z0QIWnM79QkIW6EhpyGFCOlJc+sO4qygGRBDi+hEwqEM4en9/U8c270LQHSFGIvaxW5Xp57ZtWqWTPAZWIXpAoKtD3z0wlinEaEK8yQlAPbSpSbIaEoZiSvOKkkCcJjNCQDTTmKiHSz2W45PNFKAMNY6MMVnKm/JzIUSTmJfJ2MkBrJRW8q/ucNUhVeuBnlSaoIx/OHwpRBFcNpUTCggmDFJpogLKj+K8QjpAtSus6KLsFeXHmZdOs1+6zWuG1Um1dFHWVwBI7BKbDBOWiCFmiDDsDgETyDV/BmPBkvxrvxMY+WjGLmEPyB8fUDcWOhsg==/latexit ˜ d = ⌫2 ⇤2 cHW̃ latexit sha1_base64=M4uFoFBqhyBqorQ5jE3gGro1dPg=AAACCHicbVDLSsNAFJ3UV62vqEsXDhbBVUmkqBuh1E2XFewD2hAmk2k7dPJg5kYoIUs3/oobF4q49RPc+TdO2yxq64ELh3Pu5d57vFhwBZb1YxTW1jc2t4rbpZ3dvf0D8/CoraJEUtaikYhk1yOKCR6yFnAQrBtLRgJPsI43vpv6nUcmFY/CB5jEzAnIMOQDTgloyTVPqZs2+sCFz9JOluFbvCDUs8w1y1bFmgGvEjsnZZSj6ZrffT+iScBCoIIo1bOtGJyUSOBUsKzUTxSLCR2TIetpGpKAKSedPZLhc634eBBJXSHgmbo4kZJAqUng6c6AwEgte1PxP6+XwODGSXkYJ8BCOl80SASGCE9TwT6XjIKYaEKo5PpWTEdEEgo6u5IOwV5+eZW0Lyv2VaV6Xy3X6nkcRXSCztAFstE1qqEGaqIWougJvaA39G48G6/Gh/E5by0Y+cwx+gPj6xe9yZnQ/latexit cHW̃ = cHB̃ latexit sha1_base64=EoJZ2cSx2/uIewql05kDoW66u/8=AAAB/HicbVDLSsNAFL2pr1pf0S7dDBbBVUmkqBuh1E2XFewD2hAmk0k7dPJgZiKEUH/FjQtF3Poh7vwbp20W2nrgwuGce7n3Hi/hTCrL+jZKG5tb2zvl3cre/sHhkXl80pNxKgjtkpjHYuBhSTmLaFcxxekgERSHHqd9b3o39/uPVEgWRw8qS6gT4nHEAkaw0pJrVombt/sjxbhP89Zshm6R5Zo1q24tgNaJXZAaFOi45tfIj0ka0kgRjqUc2lainBwLxQins8oolTTBZIrHdKhphEMqnXxx/Ayda8VHQSx0RQot1N8TOQ6lzEJPd4ZYTeSqNxf/84apCm6cnEVJqmhElouClCMVo3kSyGeCEsUzTTARTN+KyAQLTJTOq6JDsFdfXie9y7p9VW/cN2rNVhFHGU7hDC7AhmtoQhs60AUCGTzDK7wZT8aL8W58LFtLRjFThT8wPn8ApueUIA==/latexit cHW B̃ = 0 0.3 − 0.2 − 0.1 − 0 0.1 0.2 0.3 0.4 VBF/ggF BDT 0 0.05 0.1 0.15 0.2 0.25 Fraction of events ATLAS Preliminary -1 = 13 TeV, 139 fb s 0.4 − 0.3 − 0.2 − 0.1 − 0 0.1 0.2 0.3 0.4 0.5 VBF/Continuum BDT 0 0.05 0.1 0.15 0.2 0.25 Fraction of events Data sidebands SM VBF SM ggF Continuum background 6 − 4 − 2 − 0 2 4 6 10 20 30 40 50 60 70 80 ln(1+S/B) weighted events / 1.0 Data VBF (SM) Total bkg. Syst. Uncer. ATLAS Preliminary -1 = 13 TeV, 139 fb s [118, 132] GeV ∈ γ γ m TT + TL + LT 110 120 130 140 150 160 [GeV] γ γ m 0 10 20 30 40 50 ln(1 + S/B) weighted events / 2.5 GeV Data Sig. + bkg. Total bkg. Continuum bkg. 6 − 4 − 2 − 0 2 4 6 OO 5 10 Data - bkg. VBF (SM) =0.06) d ~ VBF ( =-0.06) d ~ VBF ( CERN-EP-2022-134
  • 95.
    68% (exp.) 95%(exp.) 68% (obs.) 95% (obs.) ˜ d (inter. only) [-0.027, 0.027] [-0.055, 0.055] [-0.011, 0.036] [-0.032, 0.059] ˜ d (inter.+quad.) [-0.028, 0.028] [-0.061, 0.060] [-0.010, 0.040] [-0.034, 0.071] ˜ d from H ! ⌧⌧ [-0.038, 0.036] - [-0.090, 0.035] - Combined ˜ d [-0.022, 0.021] [-0.046, 0.045] [-0.012, 0.030] [-0.034, 0.057] cHW̃ (inter. only) [-0.48, 0.48] [-0.94, 0.94] [-0.16, 0.64] [-0.53, 1.02] cHW̃ (inter.+quad.) [-0.48, 0.48] [-0.95, 0.95] [-0.15, 0.67] [-0.55, 1.07] CP properties of HVV coupling with VBF Marco Delmastro Twelve years with the Higgs boson 95 most stringent constraints on CP-properties of HVV coupling to date 1 − 0.5 − 0 0.5 1 W ~ H c 0 1 2 3 4 5 6 7 8 9 NLL ∆ × 2 Exp. stat. + syst. Obs. stat. + syst. 68% CL 95% CL ATLAS Preliminary -1 = 13 TeV, 139 fb s γ γ → VBF H latexit sha1_base64=/Jv6BXMQsA/o+NcH/q5rLeyeQZA=AAACG3icbVDNS8MwHE3n15xfVY9egkPwNNox1Isw9LKDhwnuA9Za0jTdwtK0JKkwSv8PL/4rXjwo4knw4H9jtvWgmw8Cj/feL8nv+QmjUlnWt1FaWV1b3yhvVra2d3b3zP2DroxTgUkHxywWfR9JwignHUUVI/1EEBT5jPT88fXU7z0QIWnM79QkIW6EhpyGFCOlJc+sO4qygGRBDi+hEwqEM4en9/U8c270LQHSFGIvaxW5Xp57ZtWqWTPAZWIXpAoKtD3z0wlinEaEK8yQlAPbSpSbIaEoZiSvOKkkCcJjNCQDTTmKiHSz2W45PNFKAMNY6MMVnKm/JzIUSTmJfJ2MkBrJRW8q/ucNUhVeuBnlSaoIx/OHwpRBFcNpUTCggmDFJpogLKj+K8QjpAtSus6KLsFeXHmZdOs1+6zWuG1Um1dFHWVwBI7BKbDBOWiCFmiDDsDgETyDV/BmPBkvxrvxMY+WjGLmEPyB8fUDcWOhsg==/latexit ˜ d = ⌫2 ⇤2 cHW̃ 0.15 − 0.1 − 0.05 − 0 0.05 0.1 0.15 d ~ 0 5 10 15 20 25 NLL ∆ × 2 Exp. Comb Obs. Comb γ γ → Exp. H γ γ → Obs. H τ τ → Exp. H τ τ → Obs. H 68% CL 95% CL ATLAS Preliminary -1 = 13 TeV, 36 - 139 fb s CERN-EP-2022-134
  • 96.
    Other information aboutthe Higgs width? • Part of Higgs width could be due to decays to undetectable particles (Hàinvisible) ü Limits from direct searches in Hà invisible, explicitly requiring MET in the event Marco Delmastro Twelve years with the Higgs boson 96 ATLAS: BR(H à inv) 0.11 (exp. 0.11) @ 95% CL CMS: BR(H à inv) 0.17 (exp. 0.11) @ 95% CL ATLAS-CONF-2020-052 Run 2 ttH Run 2 VBF Run 2 Combined Run 1 Combined Run 1+2 Combined 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 inv → H B 95% CL upper limit on Observed Expected σ 1 ± σ 2 ± Observed Expected σ 1 ± σ 2 ± Observed Expected σ 1 ± σ 2 ± Observed Expected σ 1 ± σ 2 ± Observed Expected σ 1 ± σ 2 ± ATLAS Preliminary -1 = 7 TeV, 4.7 fb s -1 = 8 TeV, 20.3 fb s -1 = 13 TeV, 139 fb s H 𝜒 𝜒 H 𝜒 𝜒 Nucleon 1 10 2 10 3 10 [GeV] WIMP m 49 − 10 47 − 10 45 − 10 43 − 10 41 − 10 ] 2 [cm -nucleon WIMP σ 49 − 10 47 − 10 45 − 10 43 − 10 41 − 10 Preliminary ATLAS -1 TeV, 4.7 fb = 7 s -1 TeV, 20.3 fb = 8 s -1 TeV, 139 fb = 13 s Higgs Portal Other experiments Scalar WIMP DarkSide-50 Majorana WIMP LUX PandaX-II Xenon1T 0.09 inv → H B All limits at 90% CL Limits on BR(H-inv) can be recast in term of limit on Dark Matter production CMS-PAS-HIG-20-003
  • 97.
    STXS at work:H → ZZ* 1 − 0 1 2 3 4 5 6 7 SM ) B ⋅ σ /( B ⋅ σ ttH -Lep VH qq2Hqq-BSM qq2Hqq-VBF VH qq2Hqq- -High H T p gg2H- j gg2H-2 -High H T p - j gg2H-1 -Med H T p - j gg2H-1 -Low H T p - j gg2H-1 -High H T p - j gg2H-0 -Low H T p - j gg2H-0 ATLAS 4l → ZZ* → H -1 = 13 TeV, 139 fb s | 2.5 H Reduced Stage 1.1 - |y [fb] B ⋅ σ [fb] SM ) B ⋅ σ ( -value = 77% p 17 − 26 + 25 18 − 28 + 22 4.8 − 7.9 + 0.5 52 − 64 + 150 35 ± 21 16 − 21 + 38 75 ± 40 12 − 16 + 9 50 ± 170 80 ± 50 110 ± 630 55 ± 170 1.3 − 1.0 + 15.4 0.4 ± 16.4 0.18 ± 4.20 3.5 − 2.4 + 107.6 0.6 − 0.4 + 13.8 4 ± 15 27 ± 127 4 ± 20 18 ± 119 25 ± 172 40 ± 550 25 ± 176 1 1.2 1.4 1.6 1.8 SM N/N tXX ZZ-2j ZZ-1j ZZ-0j Observed: Stat+Sys SM Prediction Observed: Stat-Only [fb] B ⋅ σ [fb] SM ) B ⋅ σ ( -value = 77% p 17 − 26 + 25 18 − 28 + 22 4.8 − 7.9 + 0.5 52 − 64 + 150 35 ± 21 16 − 21 + 38 75 ± 40 12 − 16 + 9 50 ± 170 80 ± 50 110 ± 630 55 ± 170 1.3 − 1.0 + 15.4 0.4 ± 16.4 0.18 ± 4.20 3.5 − 2.4 + 107.6 0.6 − 0.4 + 13.8 4 ± 15 27 ± 127 4 ± 20 18 ± 119 25 ± 172 40 ± 550 25 ± 176 Marco Delmastro Twelve years with the Higgs boson 97 Eur. Phys. J. C 81 (2021) 488 Eur. Phys. J. C 80 (2020) 957
  • 98.
    STXS at work:H → WW* • Precision measurements have become a possible also for those channels where reconstructing the final state is not possible, e.g. HàWW* (neutrinos, missing transverse energy)! Marco Delmastro Twelve years with the Higgs boson 98 arXiv:2207.00338 1 − 0 1 2 3 4 5 6 7 8 SM ) * WW → H B ⋅ σ / ( * WW → H B ⋅ σ 0.44 − 0.49 + 1.17 , 0.40 − 0.45 + 0.17 − 0.20 + ( ) 0.05 ± 200 GeV ≥ H T p 350 GeV, ≥ jj m , j -2 qqH EW 0.36 − 0.40 + 1.14 , 0.34 − 0.37 + 0.14 − 0.15 + ( ) 0.08 ± 200 GeV H T p 1500 GeV, ≥ jj m , j -2 qqH EW 0.45 − 0.52 + 1.18 , 0.41 − 0.45 + 0.19 − 0.25 + ( ) 0.07 ± 200 GeV H T p 1500 GeV, jj m ≤ , 1000 j -2 qqH EW 0.58 − 0.63 + 0.56 , 0.48 − 0.53 + 0.34 − 0.35 + ( ) 0.07 ± 200 GeV H T p 1000 GeV, jj m ≤ , 700 j -2 qqH EW 0.57 − 0.57 + 0.05 , 0.38 − 0.42 + 0.41 − 0.39 + ( ) 0.07 ± 200 GeV H T p 700 GeV, jj m ≤ , 350 j -2 qqH EW 0.83 − 0.87 + 2.11 , 0.66 − 0.68 + 0.51 − 0.55 + ( ) 0.26 ± 200 GeV ≥ H T p , ggH 0.87 − 0.89 + 1.59 , 0.44 − 0.44 + 0.76 − 0.78 + ( ) 0.22 ± 200 GeV H T p , j -2 ggH 0.77 − 0.80 + 1.46 , 0.62 − 0.63 + 0.47 − 0.49 + ( ) 0.19 ± 200 GeV H T p ≤ , 120 j -1 ggH 0.48 − 0.48 + 0.58 , 0.32 − 0.32 + 0.36 − 0.36 + ( ) 0.15 ± 120 GeV H T p ≤ , 60 j -1 ggH 0.59 − 0.57 + 0.82 , 0.30 − 0.30 + 0.51 − 0.49 + ( ) 0.14 ± 60 GeV H T p , j -1 ggH 0.16 − 0.16 + 1.21 , 0.08 − 0.08 + 0.13 − 0.14 + ( ) 0.07 ± 200 GeV H T p , j -0 ggH Total ( Stat. Syst. ) SM Unc. Total Statistical Unc. Systematic Unc. SM Prediction ATLAS 1 − = 13 TeV, 139 fb s ν µ ν e → * WW → H -value = 53% p 500 1000 1500 2000 2500 3000 3500 4000 Events / 10 GeV Data Uncertainty ggF H VBF H H Other Wt / t t WW * γ Z/ Mis-Id ) V ( VV Other ATLAS -1 = 13 TeV, 139 fb s ν µ ν e → WW* → H =0 jet N ggF SR, 0.6 0.8 1 1.2 1.4 Data / Pred. 50 100 150 200 250 [GeV] T m 0 100 200 300 400 500 600 Bkg. − Total
  • 99.
    H → 𝛄𝛄and H → ZZ*: differential and fiducial cross-sections Marco Delmastro Twelve years with the Higgs boson 99 0 10 20 30 40 50 [pb] σ ATLAS Preliminary -1 = 13 TeV, 139 fb s γ γ Æ H *, ZZ Æ H * ZZ Æ H γ γ Æ H Combination Systematic Uncertainty Total Uncertainty XH =1.47, + K MG5 FxFx XH =1, + K STWZ,BLPTW XH =1, + K GoSam XH =1, + K Sherpa+MCFM+OpenLoops XH =1.1, + K NNLOPS tH + H b b + H t t =VBF+VH+ XH =0 jets N =1 jets N =2 jets N 3 ≥ jets N jets N 0.5 1 1.5 Theory/Data 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 )[pb/GeV] H T p /d( σ d ATLAS Preliminary -1 = 13 TeV, 139 fb s γ γ Æ H *, ZZ Æ H * ZZ Æ H γ γ Æ H Combination Systematic Uncertainty Total Uncertainty XH =1.47, + K MG5 FxFx XH =1.14, + K ResBos2 XH =1, + K SCETlib XH =1, + K RadiSH XH =1.1, + K NNLOPS tH + H b b + H t t =VBF+VH+ XH 0 10 20 30 45 60 80 120 200 300 650 1000 [GeV] H T p 0.5 1 1.5 2 Theory/Data ATLAS-CONF-2022-002
  • 100.
    H → 𝛄𝛄and H → ZZ*: inclusive cross-sections Marco Delmastro Twelve years with the Higgs boson 100 7 8 9 10 11 12 13 14 [TeV] s 0 10 20 30 40 50 60 70 80 90 100 [pb] H → pp σ ATLAS = 125.09 GeV) H m , H → pp ( σ SM QCD scale uncertainty ) s α PDF+ ⊕ (scale Total uncertainty γ γ → H l 4 → * ZZ → H l 4 → H + γ γ → H Combined -1 = 7 TeV, 4.5 fb s -1 = 8 TeV, 20.3 fb s -1 = 13 TeV, 139 fb s -1 = 13.6 TeV, 29.0-31.4 fb s Eur. Phys. J. C 84 (2024) 78
  • 101.
    [GeV] T H p 500 1000 1500 (SM) σ / σ 0 20 40 60 80 95%C.L. Upper Limit Fit ATLAS -1 = 13 TeV, 136 fb s Reaching the highest pT H with Hàbb • Jets substructure with 1 or 2 b-tags • Fiducial cross-section (mostly ggF) • Can be recasted as STXS • Highest pT H most sensitive to BSM effects Marco Delmastro Twelve years with the Higgs boson 101 0.2 0.4 0.6 0.8 1 1.2 3 10 × Events / 10 GeV Data =18) µ ( 4 T H, p Z W Top Multijet Signal + Background ATLAS -1 = 13 TeV, 136 fb s TeV 1 T SRL, p 0 100 Data-Multijet σ 1 ± Multijet 80 100 120 140 160 180 200 Jet mass [GeV] 50 − 0 50 Data-bkg σ 1 ± Multijet, Top, W Z arXiv:2111.08340 pT H 1TeV 800 GeV pT H 1.2 TeV JHEP12(2020)085
  • 102.
    Other rare Higgsdecays within reach? Marco Delmastro Twelve years with the Higgs boson 102 Imma Riu @ LHCP 2021
  • 103.
    [GeV] γ Z m 40 50 60 70 80 weights / GeV ∑ Data Sig+Bkg Fit Bkg ATLAS -1 = 13TeV, 139 fb s All categories ) weighted sum 68 B / 68 S ln(1+ 115 120 125 130 135 140 145 [GeV] γ Z m 4 − 2 − 0 2 4 w - Bkg ∑ Other rare Higgs decays within reach? • SU(2)L symmetry relates the HWW, HZZ, Hyy and HZy interactions ü If New Physics respects SU(2)L, effect correlated in all four channels ü Important to observed and measure also HàZy Marco Delmastro Twelve years with the Higgs boson 103 µ = 2.4 ± 0.9 Significance: 2.7 σ (1.2 expected) µ = 2.0 ± 0.9 Significance: 2.2 σ (1.2 expected) JHEP 05 (2023) 233 Phys. Lett. B 809 (2020) 135754 Phys. Rev. Lett. 132 (2024) 021803 µ = 2.2 ± 0.7 Significance: 3.4 σ
  • 104.
    How well shouldwe know the Higgs couplings? Marco Delmastro Twelve years with the Higgs boson 104 Sally Dawson
  • 105.
    More tools athand! Constraining κλ with single-Higgs Marco Delmastro Twelve years with the Higgs boson 105 • Single Higgs boson productions and decays as well as kinematics sensitive to the self-coupling through EW corrections arXiv:2211.01216
  • 106.
    4 - 2 - 02 4 6 8 10 12 b κ 10 - 0 10 20 30 40 c κ ATLAS Preliminary γ γ Æ H , ZZ* Æ H -1 = 13 TeV, 139 fb s 68% CL 95% CL Standard Model ZZ* Æ H Obs. γ γ Æ H Obs. Obs. Combination Direct Hàcc search is not the only tool… • Charm quark contributes to ggF loop, modification to Higgs-charm coupling can alter pT H • Analogous effect on quark-initiated production of the Higgs boson • Shape of differential pTH cross-section can be interpreted in term of Higgs-charm coupling Marco Delmastro Twelve years with the Higgs boson 106 ATLAS-CONF-2022-002 arXiv:1606.09253 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 )[pb/GeV] H T p /d( σ d ATLAS Preliminary -1 = 13 TeV, 139 fb s γ γ Æ H *, ZZ Æ H * ZZ Æ H γ γ Æ H Combination Systematic Uncertainty Total Uncertainty XH =1.47, + K MG5 FxFx XH =1.14, + K ResBos2 XH =1, + K SCETlib XH =1, + K RadiSH XH =1.1, + K NNLOPS tH + H b b + H t t =VBF+VH+ XH 0 10 20 30 45 60 80 120 200 300 650 1000 [GeV] H T p 0.5 1 1.5 2 Theory/Data
  • 107.
    Is it theStandard Model Higgs potential? • How the Higgs potential is realized in Nature can provide important answers to many open points in our understanding of Nature… ü e.g. BSM scenarios of Higgs sector, electroweak phase transition in the SM, baryogenesis… Marco Delmastro Twelve years with the Higgs boson 107 modified Higgs self- coupling needed for strong 1st order transition in electroweak symmetry breaking which allows baryogenesis Different models predicts different potential shape Evolution of Higgs potential could explain matter/antimatter asymmetry via electroweak baryogenesis arXiv:1511.03969 Phys. Rev. D 101, 075023 (2020)
  • 108.
    Higgs at FC-ee MarcoDelmastro Twelve years with the Higgs boson 108 L = 5 ab-1 ZH = 106 VBF = 2x104 L = 1.5 ab-1 ZH = 2.5x105 VBF = 5x104