Rules: 1 slide, 2 minutes. Grad student pop talks at the 2019 SoCal BSM Workshop.

1. #SOCALBSMf l i p . t a n e d o @ u c r . e d u #SOCALBSM @FLIPTANEDO
Caltech
UC Irvine
UC Riverside
UC San Diego
UC Santa Barbara
USC
Gong Show

2. #SOCALBSM
Sunny Yu (UCI)
The
Nonperturbative Theory
of
Quantum Gravity
QFT + GR
=QG
as an
Alternative to Inflation?
Is QG well-defined?
Yes!
E.g. Standard Path Integral +
Einstein Hilbert Action :
! = ∫ $%&' (
)
ℏ
+,-
Q: Any other nonperturbatively
renormalizable, yet predictive,
QFTs?
Yes!
Nonperturbative techniques!
The Power Spectrum . /
– A long “triumph” of Inflation
What is P(k)?
. / = 0 / 1
⇔ 34 5 − 7 = ⟨09 5 09 7 ⟩
Q: Any Predictions? Yes!
- IR Regulator ξ
- Running of G, …
** Testable in near future!
QFT is great at correlation fns!
3; 5 − 7 = 0< 5 0< 7 ~
1
?1
EFE: < = 8A39
0< 0< = 8A3 1 0909
. ~
BC
/
What’s Wrong?
– PT Fails!!
(QG) provides an alternative, arguably
more natural, explanation to Inflation, for .(/)!
ℎGGHI://B?5LM. O?%/BPI/1807.10704
3?BMLGBGLOTBU VUWXGWBGLOTI BI BT YUG(?TBGLM( GO ZT[UBGLOT
Sunny Yu (lhyu1@uci.edu) Herbert Hamber

3. #SOCALBSM
GR Instability in Supermassive Stars
E = T2 - 2T/𝛍
Ecrit = -1/𝛍2 = -(Tcrit)2
Chen et al. (2014): ~5.5(10)4 M⦿ stars ⟹ critical point when lighting He4 ⟹Explosion!
𝛍(H1) = 1/2
𝛍(He4) = 4/3
Explode or collapse?
Explosion criteria?
Instability Criteria:
(Γ1 - 4/3) = 1/6Pgas/Ptot < 9/8Rs/R
Sebastien Tawa, UCSD (Adv. George Fuller)

4. #SOCALBSM
Probing Dark Photons in the Early Universe with BBN
Jung-Tsung Li (UCSD)
In collaboration with George Fuller and Evan Grohs
L =
1
4
F2
µ⌫
1
4
V 2
µ⌫
✏
2
Fµ⌫V µ⌫
+
1
2
m2
vV 2
µ + eJµ⌫
emA⌫
Entropy release during BBN
scmb = 5.9 × 109
ηcmb = 6.1 × 10−10
Standard Cosmology
s = 5.0 × 109
η = 7.2 × 10−10 XA / ⌘A 1
eBA/T
mv = 2 MeV
✏ = 1 ⇥ 10 10
⌧v = 13.7 s
sb = 8.94 ⇥ 108
In NSE,
• Late decay generates entropy and dilute the
radiation density, thereby decreasing Neff .
• 4He begins and ends earlier. All neutrons bound into alpha
particles. Deuteron synthesis ceases earlier. Less yield.
• Minimum model ; look for freeze-in dark photon production
D/H = 2.454 × 10−5
He/H = 0.2467
Neff = 2.452
D/H = (2.53 ± 0.04) × 10−5 (Cooke et al. 2014)
He/H = 0.2465 ± 0.0097 (Aver et al. 2013)
Neff = 3.27 ± 0.15 (PLANCK VI. 2018)
• Simulation v.s measurement
Deuterium abundance from TMT
Neff from Stage 4 CMB (1 % level)

5. #SOCALBSM
Ben Lillard UC Irvine
Recent Work:
• 1811.03089 “A High Quality Composite Axion”
Solving the strong CP problem with a
highly protected U(1)PQ
• 1804.03662 “The Flavor of Cosmology”
Setting constraints on flavon models from
early universe cosmology
Ongoing Project:
• Using wavelet transformations to search
for signals of new physics at colliders:
Going beyond “bump-hunting”
Other Interests:
• Dark Matter Pheno
• SUSY Gauge Theories
• Collider Pheno
blillard@uci.edu
Mij = (Qi · Qj) B = (QN
)
hdet M
SU(Nf )diag ⇥ U
hdet Mi 6= 0
hBBi 6= 0
hdet Mi 6= 0 : SU
hBBi 6= 0 : U(
h i
hBBi 6= 0 : U(1)B
h i V ( )
4
Fig. 1: The Tilted Wine
Bottle of Model-Building

6. #SOCALBSM
Rebecca Riley (UCI)
Rebecca Riley UC Irvine
[1] The τ Magnetic Dipole Moment at Future Lepton Colliders
arXiv:1810.09570
Arvind Rajaraman,Tim Tait, Jessica Howard
[2] New Search Strategies for Composite Leptoquarks (working title)
Arvind Rajaraman,Angelo Monteux
[3] Dark Matter Force Carriers at One Loop
Tim Tait
[4] Hardware-Level Muon Tracking at the High-Luminosity LHC
Anyes Taffard (ATLAS)
rriley1@uci.edu facebook.com/riley.rebecca.anne Rebecca Riley

7. #SOCALBSM
Minyuan Jiang
dg1522023@smail.nju.edu.cn
Nanjing University/UCSB
Understanding the SM EFT
Collaborating with Nathaniel Craig, Ying-Ying Li, and Dave Sutherland
• Tree/loop mixing
• non-renormalization at dim-8; (Cheung and
Shen 2015)
• Next to leading order mapping

8. #SOCALBSM
Duality of Non-Abelian Heaviside Gravity
• Heaviside Gravity:
• First theory w/ grav waves
• Perihelion of Mercury
• Frame drag via induction
• Dual to Maxwell’s
equations
• Double Copy (YM -> GR)
• Unclear origins
• Geometrically misaligned
• Non-Abelian Heaviside
gravity dual to YM and SM
• Manifest duality and
unexplored quantization?
dchester@ucla.edu
David Chester (UCLA)

9. #SOCALBSM
Lexi Costantino (UCR)
e x a n d r i a . C o s t a n t i n o @ e m a i l . u c r. e d u SoCal BSM 2019 - Student Gong Show
Dark Mediators, First Light
Lexi Costantino
UC Riverside ParticleTheory
JWST
SKAper image: NASA
wer image: Swinburne/ICRAR/Cambridge/ASTRON

10. #SOCALBSM
Michael Waterbury (UCI)
Michael Waterbury
mwaterbu@uci.edu
More grounded in formal theory, but still interested in more phenomenology & BSM physics!
R3 R4R3 x S1
β 0 β ∞(β: size of S1)
• Instantons in 4D appear as multi-monopole
configurations on the cylinder
• Monopoles are more tractable
• S-dualities, Electric-Magnetic duality, etc.
• Topology in 3D – What does this tell us about 4D?
Charge-Monopole Scattering
from S-matrix
e: electric charge g: magnetic charge
• Dirac Quantization: 2eg = n, No perturbative regime
• e + g states have long-range angular momentum (μ = eg)
Consider electron s-wave scattering on static, scalar monopole.
Li = Se + μ
Lf,electron = Se - μ
Electron must flip spin, change charge, or create particles!
e
g
? ?
Lf,positron = Sp + μ
4DCylinder3D
Non-perturbative QFT and connections
between 3D and 4D QFT

11. #SOCALBSM
ADM via Unstable WIMP
ΩDM ≈ 5.4ΩB ΩDM ∼
M2
W
α2
W
⟹ Yf.o
1
→ ⟹ Y0
B + 2Y0
ADM ∼ Yf.o
1
Bχ =
1
2
[1 −(Bϕ + Bψ)]
mADM =
nB
nADM
ΩDM
ΩB
mn
arXiv:1305.4939v3 [hep-ph], K. Petraki, R.
Volkas
Generalized Baryon Number:
Renormalizable Yukawa Interactions: η1,2ϕ ¯Yc
1,2ψ, αϕ ¯dχ, βϕ ¯ψu
Michael Shamma
with Yanou Cui
arXiv:1008.2399v3 [hep-ph] by H. Davioudiasl, D.
Morrissey, K. Sigurdson, S. Tulin
SocalBSM 2019email: msham008@ucr.edu

12. #SOCALBSM
Sophia Nasr (UCI)
Kaplinghat, Tulin, Yu (2015)

13. #SOCALBSM
Adriana Braconi (UCI)
Arianna Braconi, UCI
abraconi@uci.edu
Advisor: Mu-Chun Chen
________________________________________________________________________
Is a first order electroweak phase transition from
varying Yukawas possible? (Servant et al.)
Large Yukawas (of order 1) before the EWPT can
create a strongly first order phase transition.
Large Yukawas affect the RGEs
Higgs potential unstable too early, Higgs quartic
coupling too large at electroweak scale - does not
reproduce correct Higgs mass.
Other projects: MFV & group
theoretical origins of CP violation

14. #SOCALBSM
Freida Rivera (UCI)
Analytic Construction of
The Wavefunction of a
Rotating Axion Star:
Finding bound state
solutions to
∇2 𝑆 = −𝑆𝑉
∇2 𝑉 = −𝑆2
Non rotating axion star : (n,l,m)=(1,0,0)
∇2 𝐴 = 𝐴′′ +
2
𝑟
𝐴′
𝑆 𝑟 = 𝑆0 𝑟
V 𝑟 = 𝑉0 𝑟
Slowly rotating axion star :(n,l,m)=(1,1,0)
Treated as a perturbation to the non rotating case.
∇2 𝐴 = 𝐴′′ +
2
𝑟
𝐴′ −
𝑙 𝑙 + 1
𝑟2
𝐴 ՜ 𝐴′′ +
2
𝑟
𝐴′ −
2
𝑟2
𝐴
𝑆 𝑟 = 𝑆0 𝑟 + 𝑌1 0 𝑆1 𝑟
V 𝑟 = 𝑉0 𝑟 + 𝑌1 0 𝑉1(𝑟)
Prove the existence of bound state solutions using
variational method:
𝑆0 𝑟 ՜ 𝑆0 𝑟 + 𝑌1 0 𝑆1(𝑟)
𝑉0 𝑟 ՜ 𝑉0 𝑟 + 𝑌1 0 𝑉1(𝑟)
Future works: Find general solution for all n,l,m
Freida Liz Rivera
flrivera@uci.edu
twitter.com/freida_liz
Mentoring Proffesor:
Arvind Rajaraman

15. #SOCALBSM
Self-interacting
sterile neutrino
dark matter
Luke Johns
UC San Diego
Current constraints imply that sterile
neutrino DM requires additional BSM
physics.
Can self-interactions do the trick?
This model: Sterile neutrinos couple to a heavy
mediator φ. (Mass > a few hundred MeV.)
Takeaway: Nonlinearity in the Boltzmann
equaAon leads to runaway producAon. This
scenario is ruled out by its own mechanics.
Follow-up: Coupling to a light mediator.
dfs
dt
=
1
2
sin2
(2✓m)
1 +
⇣
2!m
⌘2 (fa fs)
This is the regime relevant
to small-scale structure.
Log10
Ωs
ΩDM
-10
-8
-6
-4
-2

16. #SOCALBSM
Vector Self-Interacting Dark Matter
1/12/2019 ichaf001@ucr.edu
V (H, ) = µ2
1H†
H + µH†
H + 1(H†
H)2
+ H†
HTr( 2
) µ2
2Tr( 2
) + 2 Tr( 2
)
2
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! V (r) =
↵D
r
e mAr
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SU(2) : ! U U†
SU(2)H : H ! UHH U(1)H : H ! ei✓H
H .<latexit sha1_base64="vaceGFlbPifkBeoy3iI++iE189U=">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</latexit><latexit sha1_base64="vaceGFlbPifkBeoy3iI++iE189U=">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</latexit><latexit sha1_base64="vaceGFlbPifkBeoy3iI++iE189U=">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</latexit><latexit sha1_base64="vaceGFlbPifkBeoy3iI++iE189U=">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</latexit>
For µ = 0 there exists a global symmetry:<latexit sha1_base64="PZusG52e06UwnClDzIMRQerzgNc=">AAACFHicbVA9SwNBFNyL3/ErammzmAiCEO7SKIIgCmKpYFRIjrC3eZcs2b09dt+JR/BH2PhXbCwUsbWw89+4iSk0caph5j3evIlSKSz6/pdXmJqemZ2bXyguLi2vrJbW1q+szgyHOtdSm5uIWZAigToKlHCTGmAqknAd9U4G/vUtGCt0col5CqFinUTEgjN0Uqu0e6oNrTRVduhXKHbBAIU7d9ZSRjtSR0xSmysFaPKDVqnsV/0h6CQJRqRMRjhvlT6bbc0zBQlyyaxtBH6KYZ8ZFFzCfbGZWUgZ77EONBxNmAIb9odP3dNtp7Rp7OLFOkE6VH9v9JmyLlrkJhXDrh33BuJ/XiPDeD/siyTNEBL+cyjOJEVNBw3RtjDAUeaOMG6Ey0p5lxnG0fVYdCUE4y9PkqtaNXD8olY+Oh7VMU82yRbZIQHZI0fkjJyTOuHkgTyRF/LqPXrP3pv3/jNa8EY7G+QPvI9v5lGdfw==</latexit><latexit sha1_base64="PZusG52e06UwnClDzIMRQerzgNc=">AAACFHicbVA9SwNBFNyL3/ErammzmAiCEO7SKIIgCmKpYFRIjrC3eZcs2b09dt+JR/BH2PhXbCwUsbWw89+4iSk0caph5j3evIlSKSz6/pdXmJqemZ2bXyguLi2vrJbW1q+szgyHOtdSm5uIWZAigToKlHCTGmAqknAd9U4G/vUtGCt0col5CqFinUTEgjN0Uqu0e6oNrTRVduhXKHbBAIU7d9ZSRjtSR0xSmysFaPKDVqnsV/0h6CQJRqRMRjhvlT6bbc0zBQlyyaxtBH6KYZ8ZFFzCfbGZWUgZ77EONBxNmAIb9odP3dNtp7Rp7OLFOkE6VH9v9JmyLlrkJhXDrh33BuJ/XiPDeD/siyTNEBL+cyjOJEVNBw3RtjDAUeaOMG6Ey0p5lxnG0fVYdCUE4y9PkqtaNXD8olY+Oh7VMU82yRbZIQHZI0fkjJyTOuHkgTyRF/LqPXrP3pv3/jNa8EY7G+QPvI9v5lGdfw==</latexit><latexit sha1_base64="PZusG52e06UwnClDzIMRQerzgNc=">AAACFHicbVA9SwNBFNyL3/ErammzmAiCEO7SKIIgCmKpYFRIjrC3eZcs2b09dt+JR/BH2PhXbCwUsbWw89+4iSk0caph5j3evIlSKSz6/pdXmJqemZ2bXyguLi2vrJbW1q+szgyHOtdSm5uIWZAigToKlHCTGmAqknAd9U4G/vUtGCt0col5CqFinUTEgjN0Uqu0e6oNrTRVduhXKHbBAIU7d9ZSRjtSR0xSmysFaPKDVqnsV/0h6CQJRqRMRjhvlT6bbc0zBQlyyaxtBH6KYZ8ZFFzCfbGZWUgZ77EONBxNmAIb9odP3dNtp7Rp7OLFOkE6VH9v9JmyLlrkJhXDrh33BuJ/XiPDeD/siyTNEBL+cyjOJEVNBw3RtjDAUeaOMG6Ey0p5lxnG0fVYdCUE4y9PkqtaNXD8olY+Oh7VMU82yRbZIQHZI0fkjJyTOuHkgTyRF/LqPXrP3pv3/jNa8EY7G+QPvI9v5lGdfw==</latexit><latexit sha1_base64="PZusG52e06UwnClDzIMRQerzgNc=">AAACFHicbVA9SwNBFNyL3/ErammzmAiCEO7SKIIgCmKpYFRIjrC3eZcs2b09dt+JR/BH2PhXbCwUsbWw89+4iSk0caph5j3evIlSKSz6/pdXmJqemZ2bXyguLi2vrJbW1q+szgyHOtdSm5uIWZAigToKlHCTGmAqknAd9U4G/vUtGCt0col5CqFinUTEgjN0Uqu0e6oNrTRVduhXKHbBAIU7d9ZSRjtSR0xSmysFaPKDVqnsV/0h6CQJRqRMRjhvlT6bbc0zBQlyyaxtBH6KYZ8ZFFzCfbGZWUgZ77EONBxNmAIb9odP3dNtp7Rp7OLFOkE6VH9v9JmyLlrkJhXDrh33BuJ/XiPDeD/siyTNEBL+cyjOJEVNBw3RtjDAUeaOMG6Ey0p5lxnG0fVYdCUE4y9PkqtaNXD8olY+Oh7VMU82yRbZIQHZI0fkjJyTOuHkgTyRF/LqPXrP3pv3/jNa8EY7G+QPvI9v5lGdfw==</latexit>
=) massive pseudo-goldstone bosons ”dark pions”<latexit sha1_base64="40eKqlgumOjWY4BlPOWQwXMjIwc=">AAACIHicbVC7SgNBFJ31GeNr1dJmSBRslN00sQzYWEYwUUhCmJ29iUPmscydDYSQT7HxV2wsFNFOv8bJo/B1YOBwzr2cuSfJpEAXRR/B0vLK6tp6YaO4ubW9sxvu7TfR5JZDgxtp7G3CEKTQ0HDCSbjNLDCVSLhJBhdT/2YIFoXR126UQUexvhY9wZnzUjesHrWF8kGAR1QxRDEEmiHkqTntG5miMxpoYtBopKWU2QHN/B6WumE5OotmoH9JvCBlskC9G763U8NzBdpx6YNacZS5zphZJ7iESbGdI2SMD1gfWp5qpgA749mBE3rslZT2jPVPOzpTv2+MmUIcqcRPKubu8Lc3Ff/zWrnrnXfGQme5A83nQb1cUmfotC2aCgvcyZEnjFvh/0r5HbOMO99p0ZcQ/z75L2lWzmLPryrlWmVRR4EckhI5ITGpkhq5JHXSIJzck0fyTF6Ch+ApeA3e5qNLwWLngPxA8PkFg7ujHQ==</latexit><latexit sha1_base64="40eKqlgumOjWY4BlPOWQwXMjIwc=">AAACIHicbVC7SgNBFJ31GeNr1dJmSBRslN00sQzYWEYwUUhCmJ29iUPmscydDYSQT7HxV2wsFNFOv8bJo/B1YOBwzr2cuSfJpEAXRR/B0vLK6tp6YaO4ubW9sxvu7TfR5JZDgxtp7G3CEKTQ0HDCSbjNLDCVSLhJBhdT/2YIFoXR126UQUexvhY9wZnzUjesHrWF8kGAR1QxRDEEmiHkqTntG5miMxpoYtBopKWU2QHN/B6WumE5OotmoH9JvCBlskC9G763U8NzBdpx6YNacZS5zphZJ7iESbGdI2SMD1gfWp5qpgA749mBE3rslZT2jPVPOzpTv2+MmUIcqcRPKubu8Lc3Ff/zWrnrnXfGQme5A83nQb1cUmfotC2aCgvcyZEnjFvh/0r5HbOMO99p0ZcQ/z75L2lWzmLPryrlWmVRR4EckhI5ITGpkhq5JHXSIJzck0fyTF6Ch+ApeA3e5qNLwWLngPxA8PkFg7ujHQ==</latexit><latexit sha1_base64="40eKqlgumOjWY4BlPOWQwXMjIwc=">AAACIHicbVC7SgNBFJ31GeNr1dJmSBRslN00sQzYWEYwUUhCmJ29iUPmscydDYSQT7HxV2wsFNFOv8bJo/B1YOBwzr2cuSfJpEAXRR/B0vLK6tp6YaO4ubW9sxvu7TfR5JZDgxtp7G3CEKTQ0HDCSbjNLDCVSLhJBhdT/2YIFoXR126UQUexvhY9wZnzUjesHrWF8kGAR1QxRDEEmiHkqTntG5miMxpoYtBopKWU2QHN/B6WumE5OotmoH9JvCBlskC9G763U8NzBdpx6YNacZS5zphZJ7iESbGdI2SMD1gfWp5qpgA749mBE3rslZT2jPVPOzpTv2+MmUIcqcRPKubu8Lc3Ff/zWrnrnXfGQme5A83nQb1cUmfotC2aCgvcyZEnjFvh/0r5HbOMO99p0ZcQ/z75L2lWzmLPryrlWmVRR4EckhI5ITGpkhq5JHXSIJzck0fyTF6Ch+ApeA3e5qNLwWLngPxA8PkFg7ujHQ==</latexit><latexit sha1_base64="40eKqlgumOjWY4BlPOWQwXMjIwc=">AAACIHicbVC7SgNBFJ31GeNr1dJmSBRslN00sQzYWEYwUUhCmJ29iUPmscydDYSQT7HxV2wsFNFOv8bJo/B1YOBwzr2cuSfJpEAXRR/B0vLK6tp6YaO4ubW9sxvu7TfR5JZDgxtp7G3CEKTQ0HDCSbjNLDCVSLhJBhdT/2YIFoXR126UQUexvhY9wZnzUjesHrWF8kGAR1QxRDEEmiHkqTntG5miMxpoYtBopKWU2QHN/B6WumE5OotmoH9JvCBlskC9G763U8NzBdpx6YNacZS5zphZJ7iESbGdI2SMD1gfWp5qpgA749mBE3rslZT2jPVPOzpTv2+MmUIcqcRPKubu8Lc3Ff/zWrnrnXfGQme5A83nQb1cUmfotC2aCgvcyZEnjFvh/0r5HbOMO99p0ZcQ/z75L2lWzmLPryrlWmVRR4EckhI5ITGpkhq5JHXSIJzck0fyTF6Ch+ApeA3e5qNLwWLngPxA8PkFg7ujHQ==</latexit>
µ 6= 0 explicitly breaks SU(2) ⇥ SU(2)H ! SU(2)V :<latexit sha1_base64="cDl1SzTNv1E7FKEx8jX8RB+jZe0=">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</latexit><latexit sha1_base64="cDl1SzTNv1E7FKEx8jX8RB+jZe0=">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</latexit><latexit sha1_base64="cDl1SzTNv1E7FKEx8jX8RB+jZe0=">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</latexit><latexit sha1_base64="cDl1SzTNv1E7FKEx8jX8RB+jZe0=">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</latexit>
SU(2) ⇥ SU(2)H ⇥ U(1)H<latexit sha1_base64="hC/sErx5Xq06+FZZXq+HUwp4zW0=">AAACEnicbVDLSsNAFL3xWesr1qWbwSK0m5J0o8uCmy4rmrbQhDCZTtqhkwczE6GEfoMbf8WNC0XcunLn3zhtKmjrgYFzz7mXO/cEKWdSWdaXsbG5tb2zW9or7x8cHh2bJ5WuTDJBqEMSnoh+gCXlLKaOYorTfioojgJOe8Hkeu737qmQLInv1DSlXoRHMQsZwUpLvlm/dWrNup+7nTGbIVexiEpUaO2f0qnZuvLNqtWwFkDrxF6Saqvi1kGj45uf7jAhWURjRTiWcmBbqfJyLBQjnM7KbiZpiskEj+hA0xjrXV6+OGmGLrQyRGEi9IsVWqi/J3IcSTmNAt0ZYTWWq95c/M8bZCq88nIWp5miMSkWhRlHKkHzfNCQCUoUn2qCiWD6r4iMscBE6RTLOgR79eR10m02bM1v7GqrCQVKcAbnUAMbLqEFbeiAAwQe4Ale4NV4NJ6NN+O9aN0wljOn8AfGxzf+ApvU</latexit><latexit sha1_base64="EvmyEZCaXoavs0baEiAPGkN9iV8=">AAACEnicbVC7TsMwFHXKq5RXKCOLRYWULlXSBcZKLB2LIG2lJqoc12mtOk5kO0hV1G/owq+wMICAlYmND2HHbYoELUeydO459+r6niBhVCrb/jQKG5tb2zvF3dLe/sHhkXlcbss4FZi4OGax6AZIEkY5cRVVjHQTQVAUMNIJxldzv3NHhKQxv1WThPgRGnIaUoyUlvpm9ca16tV+5rVGdAo9RSMiYa41f0rXcnTVNyt2zV4ArhNnSSqNsmd9vc68Vt/88AYxTiPCFWZIyp5jJ8rPkFAUMzIteakkCcJjNCQ9TTnSu/xscdIUnmtlAMNY6McVXKi/JzIUSTmJAt0ZITWSq95c/M/rpSq89DPKk1QRjvNFYcqgiuE8HziggmDFJpogLKj+K8QjJBBWOsWSDsFZPXmdtOs1R/Nrp9KogxxFcArOgAUccAEaoAlawAUYzMADeALPxr3xaLwYb3lrwVjOnIA/MN6/AYOhnnU=</latexit><latexit sha1_base64="EvmyEZCaXoavs0baEiAPGkN9iV8=">AAACEnicbVC7TsMwFHXKq5RXKCOLRYWULlXSBcZKLB2LIG2lJqoc12mtOk5kO0hV1G/owq+wMICAlYmND2HHbYoELUeydO459+r6niBhVCrb/jQKG5tb2zvF3dLe/sHhkXlcbss4FZi4OGax6AZIEkY5cRVVjHQTQVAUMNIJxldzv3NHhKQxv1WThPgRGnIaUoyUlvpm9ca16tV+5rVGdAo9RSMiYa41f0rXcnTVNyt2zV4ArhNnSSqNsmd9vc68Vt/88AYxTiPCFWZIyp5jJ8rPkFAUMzIteakkCcJjNCQ9TTnSu/xscdIUnmtlAMNY6McVXKi/JzIUSTmJAt0ZITWSq95c/M/rpSq89DPKk1QRjvNFYcqgiuE8HziggmDFJpogLKj+K8QjJBBWOsWSDsFZPXmdtOs1R/Nrp9KogxxFcArOgAUccAEaoAlawAUYzMADeALPxr3xaLwYb3lrwVjOnIA/MN6/AYOhnnU=</latexit><latexit sha1_base64="7NSQp97rwTJVMKRPcKxhkNsrrpc=">AAACEnicbVDLSsNAFJ3UV62vqEs3g0VoNyXpRpcFN11WNG2hCWEynbRDJw9mboQS+g1u/BU3LhRx68qdf+O0jaCtBwbOPede7twTpIIrsKwvo7SxubW9U96t7O0fHB6ZxyddlWSSMocmIpH9gCgmeMwc4CBYP5WMRIFgvWByPfd790wqnsR3ME2ZF5FRzENOCWjJN+u3Tq1Z93O3M+Yz7AKPmMJLrf1TOjVbV75ZtRrWAnid2AWpogId3/x0hwnNIhYDFUSpgW2l4OVEAqeCzSpuplhK6ISM2EDTmOhdXr44aYYvtDLEYSL1iwEv1N8TOYmUmkaB7owIjNWqNxf/8wYZhFdezuM0AxbT5aIwExgSPM8HD7lkFMRUE0Il13/FdEwkoaBTrOgQ7NWT10m32bA1v7GrrWYRRxmdoXNUQza6RC3URh3kIIoe0BN6Qa/Go/FsvBnvy9aSUcycoj8wPr4B2vSa/Q==</latexit>
! UV U†
V H ! UV H<latexit sha1_base64="s9LbBqnodFLyKh7To5+DqqLxoE8=">AAACOHicbVC7SgNBFL0bXzG+omJlMxgEq7CbRsuATTojmAdkY7g7O0mGzD6cmRXCktJPsvEz7MQmhSK2foGTRxETLwwczrmHued4seBK2/ablVlb39jcym7ndnb39g/yh0d1FSWSshqNRCSbHiomeMhqmmvBmrFkGHiCNbzB9URvPDKpeBTe6WHM2gH2Qt7lFLWhOvkbt9rnxNURcQPUfYoirY06dTKjF6n71PWx12NyRNyHBH1S+cdW6eQLdtGeDlkFzhwUyidP1hgAqp38q+tHNAlYqKlApVqOHet2ilJzKtgo5yaKxUgH2GMtA0MMmGqn0+Ajcm4Yn3QjaV6oyZRddKQYKDUMPLM5OVMtaxPyP62V6O5VO+VhnGgW0tlH3UQQE3jSIvG5ZFSLoQFIJTe3EtpHiVSbrnOmBGc58iqol4qOwbdOoVyC2WThFM7gAhy4hDJUoAo1oPAM7/ABn9aLNba+rO/Zasaae47hz1g/v6Ymrlw=</latexit><latexit sha1_base64="HpgnMYfFIKMj5a18/qHpunYsJbU=">AAACOHicbVC7SgNBFJ2Nrxhfq2JlMxgEq7CbRsuATQohEcwDsjHcnZ0kQ2YfzswKYUnpJ9n4GXZiI6KIrV/gbDZFTLwwcDjnHuae40acSWVZL0ZuZXVtfSO/Wdja3tndM/cPmjKMBaENEvJQtF2QlLOANhRTnLYjQcF3OW25o8tUb91TIVkY3KhxRLs+DALWZwSUpnpmzakPGXZUiB0f1JAATxqTXhNn9Dx1mzgeDAZUTLBzF4OHq//Yqj2zaJWs6eBlYM9AsXL0YLy3a1f1nvnseCGJfRoowkHKjm1FqpuAUIxwOik4saQRkBEMaEfDAHwqu8k0+ASfasbD/VDoFyg8ZecdCfhSjn1Xb6ZnykUtJf/TOrHqX3QTFkSxogHJPurHHOvAaYvYY4ISxccaABFM34rJEAQQpbsu6BLsxcjLoFku2Rpf28VKGWWTR8foBJ0hG52jCqqiOmoggh7RK/pAn8aT8WZ8Gd/Zas6YeQ7RnzF+fgHtk69R</latexit><latexit sha1_base64="HpgnMYfFIKMj5a18/qHpunYsJbU=">AAACOHicbVC7SgNBFJ2Nrxhfq2JlMxgEq7CbRsuATQohEcwDsjHcnZ0kQ2YfzswKYUnpJ9n4GXZiI6KIrV/gbDZFTLwwcDjnHuae40acSWVZL0ZuZXVtfSO/Wdja3tndM/cPmjKMBaENEvJQtF2QlLOANhRTnLYjQcF3OW25o8tUb91TIVkY3KhxRLs+DALWZwSUpnpmzakPGXZUiB0f1JAATxqTXhNn9Dx1mzgeDAZUTLBzF4OHq//Yqj2zaJWs6eBlYM9AsXL0YLy3a1f1nvnseCGJfRoowkHKjm1FqpuAUIxwOik4saQRkBEMaEfDAHwqu8k0+ASfasbD/VDoFyg8ZecdCfhSjn1Xb6ZnykUtJf/TOrHqX3QTFkSxogHJPurHHOvAaYvYY4ISxccaABFM34rJEAQQpbsu6BLsxcjLoFku2Rpf28VKGWWTR8foBJ0hG52jCqqiOmoggh7RK/pAn8aT8WZ8Gd/Zas6YeQ7RnzF+fgHtk69R</latexit><latexit sha1_base64="pXRxDmFIQB7a/cF1gjxdxvbqFZY=">AAACOHicbVDLSsNAFJ3UV62vqEs3g0VwVZJudFlw050V7AOaWG4mk3bo5OHMRCihn+XGz3Anblwo4tYvcNJmUdseGDiccy9zz/ESzqSyrDejtLG5tb1T3q3s7R8cHpnHJx0Zp4LQNol5LHoeSMpZRNuKKU57iaAQepx2vfFN7nefqJAsju7VJKFuCMOIBYyA0tLAvHVaI4YdFWMnBDUiwLP2dNDBc3lResgcH4ZDKqbYeUzBx801a82BWbVq1gx4ldgFqaICrYH56vgxSUMaKcJByr5tJcrNQChGOJ1WnFTSBMgYhrSvaQQhlW42Cz7FF1rxcRAL/SKFZ+riRgahlJPQ05P5mXLZy8V1Xj9VwbWbsShJFY3I/KMg5VgHzlvEPhOUKD7RBIhg+lZMRiCAKN11RZdgL0deJZ16zdb8zq426kUdZXSGztElstEVaqAmaqE2IugZvaNP9GW8GB/Gt/EzHy0Zxc4p+gfj9w9Qdqyh</latexit>
h i = f T3
=
1
2
✓
f 0
0 f
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hHi =
1
p
2
✓
0
v
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Mass eigenstates: H1, H2, ⇡0±
, A0
(mediator) , W0±
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v ⌧ f<latexit sha1_base64="+o+6VtFCzdTDseBDH76fB3V0giQ=">AAAB7nicbZC7SgNBFIbPxluMUaOWNoNBsAq7aUwZsLFMwFwgWcLs5GwyZHZ2mZkNhCUPYWOhiK2P4HPY2fkoTi6FJv4w8PH/5zDnnCARXBvX/XJyO7t7+wf5w8JR8fjktHR23tZxqhi2WCxi1Q2oRsEltgw3AruJQhoFAjvB5G6Rd6aoNI/lg5kl6Ed0JHnIGTXW6kxJXwgSDkplt+IuRbbBW0O5XvxofgNAY1D67A9jlkYoDRNU657nJsbPqDKcCZwX+qnGhLIJHWHPoqQRaj9bjjsn19YZkjBW9klDlu7vjoxGWs+iwFZG1Iz1ZrYw/8t6qQlrfsZlkhqUbPVRmApiYrLYnQy5QmbEzAJlittZCRtTRZmxFyrYI3ibK29Du1rxLDe9cr0KK+XhEq7gBjy4hTrcQwNawGACj/AML07iPDmvztuqNOesey7gj5z3H4rnkTI=</latexit><latexit sha1_base64="/Sd9y0Hyhy2yDgj/P/tzzBrVVnE=">AAAB7nicbZBLSgNBEIZr4ivGqFGXgjQGwVWYyUaXATcuEzAPSELo6fQkTXp6hu6aQBiy9ABuXCji1iPkHO48g5ew81ho4g8NH/9fRVeVH0th0HW/nMzW9s7uXnY/d5A/PDounJw2TJRoxusskpFu+dRwKRSvo0DJW7HmNPQlb/qju3neHHNtRKQecBLzbkgHSgSCUbRWc0w6UpKgVyi6JXchsgneCoqV/Kz2/Xgxq/YKn51+xJKQK2SSGtP23Bi7KdUomOTTXCcxPKZsRAe8bVHRkJtuuhh3Sq6s0ydBpO1TSBbu746UhsZMQt9WhhSHZj2bm/9l7QSD224qVJwgV2z5UZBIghGZ7076QnOGcmKBMi3srIQNqaYM7YVy9gje+sqb0CiXPMs1r1gpw1JZOIdLuAYPbqAC91CFOjAYwRO8wKsTO8/Om/O+LM04q54z+CPn4wdpLJKY</latexit><latexit sha1_base64="/Sd9y0Hyhy2yDgj/P/tzzBrVVnE=">AAAB7nicbZBLSgNBEIZr4ivGqFGXgjQGwVWYyUaXATcuEzAPSELo6fQkTXp6hu6aQBiy9ABuXCji1iPkHO48g5ew81ho4g8NH/9fRVeVH0th0HW/nMzW9s7uXnY/d5A/PDounJw2TJRoxusskpFu+dRwKRSvo0DJW7HmNPQlb/qju3neHHNtRKQecBLzbkgHSgSCUbRWc0w6UpKgVyi6JXchsgneCoqV/Kz2/Xgxq/YKn51+xJKQK2SSGtP23Bi7KdUomOTTXCcxPKZsRAe8bVHRkJtuuhh3Sq6s0ydBpO1TSBbu746UhsZMQt9WhhSHZj2bm/9l7QSD224qVJwgV2z5UZBIghGZ7076QnOGcmKBMi3srIQNqaYM7YVy9gje+sqb0CiXPMs1r1gpw1JZOIdLuAYPbqAC91CFOjAYwRO8wKsTO8/Om/O+LM04q54z+CPn4wdpLJKY</latexit><latexit sha1_base64="4P05hR6VzXWqZ9DGgwoqM4ap3QM=">AAAB7nicbZBNSwMxEIZn/az1q+rRS7AInspuL3osePFYwX5Au5RsOtuGJtklyRbK0h/hxYMiXv093vw3pu0etPWFwMM7M2TmjVLBjfX9b29re2d3b790UD48Oj45rZydt02SaYYtlohEdyNqUHCFLcutwG6qkcpIYCea3C/qnSlqwxP1ZGcphpKOFI85o9ZZnSnpC0HiQaXq1/ylyCYEBVShUHNQ+eoPE5ZJVJYJakwv8FMb5lRbzgTOy/3MYErZhI6w51BRiSbMl+vOybVzhiROtHvKkqX7eyKn0piZjFynpHZs1msL879aL7PxXZhzlWYWFVt9FGeC2IQsbidDrpFZMXNAmeZuV8LGVFNmXUJlF0KwfvImtOu1wPFjUG3UizhKcAlXcAMB3EIDHqAJLWAwgWd4hTcv9V68d+9j1brlFTMX8Efe5w+QnY79</latexit>
mW 0 ' gf m⇡0 '
p
µf mA0 = gv/2 mH1 '
p
2 1v2 mH2 '
p
2 2f2
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h i : SU(2)V ! U(1)D hHi : U(1)D ! ø<latexit sha1_base64="bRB3r7UloNQ9CHWgEJ8/kBhnt0w=">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</latexit><latexit sha1_base64="bRB3r7UloNQ9CHWgEJ8/kBhnt0w=">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</latexit><latexit sha1_base64="bRB3r7UloNQ9CHWgEJ8/kBhnt0w=">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</latexit><latexit sha1_base64="bRB3r7UloNQ9CHWgEJ8/kBhnt0w=">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</latexit>
SU(2)V is gauged<latexit sha1_base64="wmvjlrYP2a1Wp1hZ0qqYTI4l7Y0=">AAAB/HicbZC9TsMwFIWd8lfKX6Aji0WLVJYqyQJjJRbGIkiL1EaR4zipVceJbAcpisqrsDCAECsPwsbb4LYZoOVIlj6de6/u9QkyRqWyrG+jtrG5tb1T323s7R8cHpnHJwOZ5gITF6csFQ8BkoRRTlxFFSMPmSAoCRgZBtPreX34SISkKb9XRUa8BMWcRhQjpS3fbLbv3I5z4Q/akEoYozwmoW+2rK61EFwHu4IWqNT3za9xmOI8IVxhhqQc2VamvBIJRTEjs8Y4lyRDeIpiMtLIUUKkVy6On8Fz7YQwSoV+XMGF+3uiRImURRLozgSpiVytzc3/aqNcRVdeSXmWK8LxclGUM6hSOE8ChlQQrFihAWFB9a0QT5BAWOm8GjoEe/XL6zBwurbmW6fVc6o46uAUnIEOsMEl6IEb0AcuwKAAz+AVvBlPxovxbnwsW2tGNdMEf2R8/gAJxpMI</latexit><latexit sha1_base64="wmvjlrYP2a1Wp1hZ0qqYTI4l7Y0=">AAAB/HicbZC9TsMwFIWd8lfKX6Aji0WLVJYqyQJjJRbGIkiL1EaR4zipVceJbAcpisqrsDCAECsPwsbb4LYZoOVIlj6de6/u9QkyRqWyrG+jtrG5tb1T323s7R8cHpnHJwOZ5gITF6csFQ8BkoRRTlxFFSMPmSAoCRgZBtPreX34SISkKb9XRUa8BMWcRhQjpS3fbLbv3I5z4Q/akEoYozwmoW+2rK61EFwHu4IWqNT3za9xmOI8IVxhhqQc2VamvBIJRTEjs8Y4lyRDeIpiMtLIUUKkVy6On8Fz7YQwSoV+XMGF+3uiRImURRLozgSpiVytzc3/aqNcRVdeSXmWK8LxclGUM6hSOE8ChlQQrFihAWFB9a0QT5BAWOm8GjoEe/XL6zBwurbmW6fVc6o46uAUnIEOsMEl6IEb0AcuwKAAz+AVvBlPxovxbnwsW2tGNdMEf2R8/gAJxpMI</latexit><latexit sha1_base64="wmvjlrYP2a1Wp1hZ0qqYTI4l7Y0=">AAAB/HicbZC9TsMwFIWd8lfKX6Aji0WLVJYqyQJjJRbGIkiL1EaR4zipVceJbAcpisqrsDCAECsPwsbb4LYZoOVIlj6de6/u9QkyRqWyrG+jtrG5tb1T323s7R8cHpnHJwOZ5gITF6csFQ8BkoRRTlxFFSMPmSAoCRgZBtPreX34SISkKb9XRUa8BMWcRhQjpS3fbLbv3I5z4Q/akEoYozwmoW+2rK61EFwHu4IWqNT3za9xmOI8IVxhhqQc2VamvBIJRTEjs8Y4lyRDeIpiMtLIUUKkVy6On8Fz7YQwSoV+XMGF+3uiRImURRLozgSpiVytzc3/aqNcRVdeSXmWK8LxclGUM6hSOE8ChlQQrFihAWFB9a0QT5BAWOm8GjoEe/XL6zBwurbmW6fVc6o46uAUnIEOsMEl6IEb0AcuwKAAz+AVvBlPxovxbnwsW2tGNdMEf2R8/gAJxpMI</latexit><latexit sha1_base64="wmvjlrYP2a1Wp1hZ0qqYTI4l7Y0=">AAAB/HicbZC9TsMwFIWd8lfKX6Aji0WLVJYqyQJjJRbGIkiL1EaR4zipVceJbAcpisqrsDCAECsPwsbb4LYZoOVIlj6de6/u9QkyRqWyrG+jtrG5tb1T323s7R8cHpnHJwOZ5gITF6csFQ8BkoRRTlxFFSMPmSAoCRgZBtPreX34SISkKb9XRUa8BMWcRhQjpS3fbLbv3I5z4Q/akEoYozwmoW+2rK61EFwHu4IWqNT3za9xmOI8IVxhhqQc2VamvBIJRTEjs8Y4lyRDeIpiMtLIUUKkVy6On8Fz7YQwSoV+XMGF+3uiRImURRLozgSpiVytzc3/aqNcRVdeSXmWK8LxclGUM6hSOE8ChlQQrFihAWFB9a0QT5BAWOm8GjoEe/XL6zBwurbmW6fVc6o46uAUnIEOsMEl6IEb0AcuwKAAz+AVvBlPxovxbnwsW2tGNdMEf2R8/gAJxpMI</latexit>
W0±
stabilized by residual global U(1) generated by:<latexit sha1_base64="5L9g8iilhQlxUYsSvkOxCoIZl18=">AAACJ3icbVDLSgMxFM34tr6qLt0EW1E3ZaYbxYUIblwqWCu0tdzJ3NbQTGZI7gh16N+48VfcCCqiS//EtHbh60DI4ZxzSe4JUyUt+f67NzE5NT0zOzdfWFhcWl4prq5d2CQzAmsiUYm5DMGikhprJEnhZWoQ4lBhPewdD/36DRorE31O/RRbMXS17EgB5KR28bBc377Km2k8KHNLEEolbzHiYZ8btDLKQPGuSkJ3lWs7wW6Zd1GjARplDgrtYsmv+CPwvyQYkxIb47RdfGpGichi1CQUWNsI/JRaORiSQuGg0MwspiB60MWGoxpitK18tOeAbzkl4p3EuKOJj9TvEznE1vbj0CVjoGv72xuK/3mNjDr7rVzqNCPU4uuhTqY4JXxYGo+kQUGq7wgII91fubgGA4JctcMSgt8r/yUX1Urg+Fm1dFQd1zHHNtgm22EB22NH7ISdshoT7I49sGf24t17j96r9/YVnfDGM+vsB7yPT9R2o/c=</latexit><latexit sha1_base64="5L9g8iilhQlxUYsSvkOxCoIZl18=">AAACJ3icbVDLSgMxFM34tr6qLt0EW1E3ZaYbxYUIblwqWCu0tdzJ3NbQTGZI7gh16N+48VfcCCqiS//EtHbh60DI4ZxzSe4JUyUt+f67NzE5NT0zOzdfWFhcWl4prq5d2CQzAmsiUYm5DMGikhprJEnhZWoQ4lBhPewdD/36DRorE31O/RRbMXS17EgB5KR28bBc377Km2k8KHNLEEolbzHiYZ8btDLKQPGuSkJ3lWs7wW6Zd1GjARplDgrtYsmv+CPwvyQYkxIb47RdfGpGichi1CQUWNsI/JRaORiSQuGg0MwspiB60MWGoxpitK18tOeAbzkl4p3EuKOJj9TvEznE1vbj0CVjoGv72xuK/3mNjDr7rVzqNCPU4uuhTqY4JXxYGo+kQUGq7wgII91fubgGA4JctcMSgt8r/yUX1Urg+Fm1dFQd1zHHNtgm22EB22NH7ISdshoT7I49sGf24t17j96r9/YVnfDGM+vsB7yPT9R2o/c=</latexit><latexit sha1_base64="5L9g8iilhQlxUYsSvkOxCoIZl18=">AAACJ3icbVDLSgMxFM34tr6qLt0EW1E3ZaYbxYUIblwqWCu0tdzJ3NbQTGZI7gh16N+48VfcCCqiS//EtHbh60DI4ZxzSe4JUyUt+f67NzE5NT0zOzdfWFhcWl4prq5d2CQzAmsiUYm5DMGikhprJEnhZWoQ4lBhPewdD/36DRorE31O/RRbMXS17EgB5KR28bBc377Km2k8KHNLEEolbzHiYZ8btDLKQPGuSkJ3lWs7wW6Zd1GjARplDgrtYsmv+CPwvyQYkxIb47RdfGpGichi1CQUWNsI/JRaORiSQuGg0MwspiB60MWGoxpitK18tOeAbzkl4p3EuKOJj9TvEznE1vbj0CVjoGv72xuK/3mNjDr7rVzqNCPU4uuhTqY4JXxYGo+kQUGq7wgII91fubgGA4JctcMSgt8r/yUX1Urg+Fm1dFQd1zHHNtgm22EB22NH7ISdshoT7I49sGf24t17j96r9/YVnfDGM+vsB7yPT9R2o/c=</latexit><latexit sha1_base64="5L9g8iilhQlxUYsSvkOxCoIZl18=">AAACJ3icbVDLSgMxFM34tr6qLt0EW1E3ZaYbxYUIblwqWCu0tdzJ3NbQTGZI7gh16N+48VfcCCqiS//EtHbh60DI4ZxzSe4JUyUt+f67NzE5NT0zOzdfWFhcWl4prq5d2CQzAmsiUYm5DMGikhprJEnhZWoQ4lBhPewdD/36DRorE31O/RRbMXS17EgB5KR28bBc377Km2k8KHNLEEolbzHiYZ8btDLKQPGuSkJ3lWs7wW6Zd1GjARplDgrtYsmv+CPwvyQYkxIb47RdfGpGichi1CQUWNsI/JRaORiSQuGg0MwspiB60MWGoxpitK18tOeAbzkl4p3EuKOJj9TvEznE1vbj0CVjoGv72xuK/3mNjDr7rVzqNCPU4uuhTqY4JXxYGo+kQUGq7wgII91fubgGA4JctcMSgt8r/yUX1Urg+Fm1dFQd1zHHNtgm22EB22NH7ISdshoT7I49sGf24t17j96r9/YVnfDGM+vsB7yPT9R2o/c=</latexit>
T3
+ 1
2 TH<latexit sha1_base64="BCUjkyhYP9fEpZl49Ym38jcINkQ=">AAAB/HicbZDLSsNAFIZP6q3WW7QrcTNYBEEoSV3osiBClxV6gzaGyXTSDp1cmJkIIUR8EzcuFHHrg7jzbZxeFtr6w8DHf87hnPm9mDOpLOvbKKytb2xuFbdLO7t7+wfm4VFHRokgtE0iHomehyXlLKRtxRSnvVhQHHicdr3JzbTefaBCsihsqTSmToBHIfMZwUpbrllu3V9eDHyBSWbnWS1HLbfhmhWras2EVsFeQKV+bN0+AUDTNb8Gw4gkAQ0V4VjKvm3FysmwUIxwmpcGiaQxJhM8on2NIQ6odLLZ8Tk6084Q+ZHQL1Ro5v6eyHAgZRp4ujPAaiyXa1Pzv1o/Uf61k7EwThQNyXyRn3CkIjRNAg2ZoETxVAMmgulbERljnYTSeZV0CPbyl1ehU6vamu/sSr0GcxXhBE7hHGy4gjo0oAltIJDCM7zCm/FovBjvxse8tWAsZsrwR8bnDwRulRo=</latexit><latexit sha1_base64="REODP+zpEEnBQPDn0dvfDwkuf3U=">AAAB/HicbZDLSsNAFIYn9VbrLdqVuBksgiCUpC50WRChywpNW2hjmEwn7dDJJM5MlBDiq7hxoYhbH8Rd38bpZaGtPwx8/OcczpnfjxmVyrImRmFtfWNzq7hd2tnd2z8wD4/aMkoEJg6OWCS6PpKEUU4cRRUj3VgQFPqMdPzxzbTeeSRC0oi3VBoTN0RDTgOKkdKWZ5Zb95cX/UAgnNl5Vsthy2t4ZsWqWjPBVbAXUKkfW7dPE+eh6Znf/UGEk5BwhRmSsmdbsXIzJBTFjOSlfiJJjPAYDUlPI0chkW42Oz6HZ9oZwCAS+nEFZ+7viQyFUqahrztDpEZyuTY1/6v1EhVcuxnlcaIIx/NFQcKgiuA0CTiggmDFUg0IC6pvhXiEdBJK51XSIdjLX16Fdq1qa76zK/UamKsITsApOAc2uAJ10ABN4AAMUvAC3sC78Wy8Gh/G57y1YCxmyuCPjK8fI0aWsA==</latexit><latexit sha1_base64="REODP+zpEEnBQPDn0dvfDwkuf3U=">AAAB/HicbZDLSsNAFIYn9VbrLdqVuBksgiCUpC50WRChywpNW2hjmEwn7dDJJM5MlBDiq7hxoYhbH8Rd38bpZaGtPwx8/OcczpnfjxmVyrImRmFtfWNzq7hd2tnd2z8wD4/aMkoEJg6OWCS6PpKEUU4cRRUj3VgQFPqMdPzxzbTeeSRC0oi3VBoTN0RDTgOKkdKWZ5Zb95cX/UAgnNl5Vsthy2t4ZsWqWjPBVbAXUKkfW7dPE+eh6Znf/UGEk5BwhRmSsmdbsXIzJBTFjOSlfiJJjPAYDUlPI0chkW42Oz6HZ9oZwCAS+nEFZ+7viQyFUqahrztDpEZyuTY1/6v1EhVcuxnlcaIIx/NFQcKgiuA0CTiggmDFUg0IC6pvhXiEdBJK51XSIdjLX16Fdq1qa76zK/UamKsITsApOAc2uAJ10ABN4AAMUvAC3sC78Wy8Gh/G57y1YCxmyuCPjK8fI0aWsA==</latexit><latexit sha1_base64="RafV9Ohx2Cr7uNl6g4UW/Xcut1g=">AAAB/HicbZDLSsNAFIZP6q3WW7RLN4NFEISS1IUuC266rNCL0MYwmU7aoZNJmJkIIdRXceNCEbc+iDvfxmmbhbb+MPDxn3M4Z/4g4Uxpx/m2ShubW9s75d3K3v7B4ZF9fNJTcSoJ7ZKYx/I+wIpyJmhXM83pfSIpjgJO+8H0dl7vP1KpWCw6OkuoF+GxYCEjWBvLt6udh6vLYSgxyd1Z3pihjt/y7ZpTdxZC6+AWUINCbd/+Go5ikkZUaMKxUgPXSbSXY6kZ4XRWGaaKJphM8ZgODAocUeXli+Nn6Nw4IxTG0jyh0cL9PZHjSKksCkxnhPVErdbm5n+1QarDGy9nIkk1FWS5KEw50jGaJ4FGTFKieWYAE8nMrYhMsElCm7wqJgR39cvr0GvUXcN3bq3ZKOIowymcwQW4cA1NaEEbukAgg2d4hTfryXqx3q2PZWvJKmaq8EfW5w9BkJPM</latexit>
A ⇠
↵2
D
m2
W 0<latexit sha1_base64="jdOm4OxmnO3dHBy+vsoPrKmCVDM=">AAACG3icbZC/ThtBEMbnIAnE+WegTLOKFSVp0J2bUBpBQQkS/iP5nNPces9esXt32p1DWKt7DxpehYYChKiQKPIMeYhkbVMkkE9a6advZjQ7X1oqaSkMfwYrqy9evlpbf9148/bd+w/Njc2eLSrDRZcXqjCDFK1QMhddkqTEoDQCdapEPz3Zm9f7p8JYWeTHNCvFSOMkl5nkSN5Kmu3YyonGxMUkzsjt1jXzjmZxZpC7GFU5xWT/R7t2OnH9L7WnpNkKt8OF2HOIHqHV+fb7F3gdJs37eFzwSoucuEJrh1FY0sihIcmVqBtxZUWJ/AQnYugxRy3syC1uq9ln74xZVhj/cmIL9+8Jh9ramU59p0aa2qe1ufm/2rCibGfkZF5WJHK+XJRVilHB5kGxsTSCk5p5QG6k/yvjU/SpkI+z4UOInp78HHrt7cjzUdTqtGGpdfgIn+ArRPAdOnAAh9AFDudwCddwE1wEV8FtcLdsXQkeZ7bgHwUPfwARaKQx</latexit><latexit sha1_base64="DFimkx51wYEnleDc+mSNq56oBJ8=">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</latexit><latexit sha1_base64="DFimkx51wYEnleDc+mSNq56oBJ8=">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</latexit><latexit sha1_base64="Cuytng7JZ92CW4udsV/5f1qDAmQ=">AAACG3icbZA9T8MwEIYdvilfBUYWiwrBhJIuMIJgYCwSbZGaEl1cp7Wwk8i+ICor/4OFv8LCAEJMSAz8G9zSga9XsvTovTud741zKQz6/oc3NT0zOze/sFhZWl5ZXauub7RMVmjGmyyTmb6MwXApUt5EgZJf5pqDiiVvx9cno3r7hmsjsvQChznvKuinIhEM0FlRtR4a0VcQ2RD5LdrjsqTOUTRMNDAbgswHEJ1e1UurItveLR1F1Zq/749F/0IwgRqZqBFV38JexgrFU2QSjOkEfo5dCxoFk7yshIXhObBr6POOwxQUN107vq2kO87p0STT7qVIx+73CQvKmKGKXacCHJjftZH5X61TYHLYtSLNC+Qp+1qUFJJiRkdB0Z7QnKEcOgCmhfsrZQNwqaCLs+JCCH6f/Bda9f3A8XlQO6pP4lggW2Sb7JGAHJAjckYapEkYuSMP5Ik8e/feo/fivX61TnmTmU3yQ977J+1Aod4=</latexit>
L = 1
4 F0a
µ⌫F0aµ⌫
+ (DµH)
†
(DµH) + (Dµ )
†
(Dµ ) V (H, )<latexit sha1_base64="YpWzS4v4iaMB4swY05p024tkSLc=">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</latexit><latexit sha1_base64="kp6cByVqMCp3lN5U5W7YC3T4IeE=">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</latexit><latexit sha1_base64="kp6cByVqMCp3lN5U5W7YC3T4IeE=">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</latexit><latexit sha1_base64="sm7bx6pkrangAYF/SXScsbu/Mdw=">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</latexit>
DµH = @µH ig0
A0a
µ Ta
H Dµ = @µ ig0
⇥
Ta
A0a
µ ,
⇤
<latexit sha1_base64="x2Ds1BxkuVu6NG24EtMebYKtEUc=">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</latexit><latexit sha1_base64="UH4J5fTTjEi17qZBFTn3TXA8TJI=">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</latexit><latexit sha1_base64="UH4J5fTTjEi17qZBFTn3TXA8TJI=">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</latexit><latexit sha1_base64="NnH3YjeO0+QH9v/AZapoTy818PE=">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</latexit>
E↵ective kinetic mixing term: ✏
2 F0
µ⌫Bµ⌫
<latexit sha1_base64="0sGeQwU8orGHRoXtu9bvsJY3XJM=">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</latexit><latexit sha1_base64="0sGeQwU8orGHRoXtu9bvsJY3XJM=">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</latexit><latexit sha1_base64="0sGeQwU8orGHRoXtu9bvsJY3XJM=">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</latexit><latexit sha1_base64="0sGeQwU8orGHRoXtu9bvsJY3XJM=">AAACNXicbZDLSgMxFIYz3q23qks3wVZ0Y5npRnEliuLCRQVrhU4tmfRMDU0yQ5IplmFeyo3v4UoXLhRx6yuYXhCt/hD4+M85Sc4fxJxp47rPzsTk1PTM7Nx8bmFxaXklv7p2paNEUajSiEfqOiAaOJNQNcxwuI4VEBFwqAWd43691gWlWSQvTS+GhiBtyUJGibFWM39+EoZADesC7tgrDKNYsDsm29iAEge4uOuHitDUh1gzHsksLWen283UFwn2ZZLho5tvLjbzBbfkDoT/gjeCAhqp0sw/+q2IJgKkoZxoXffc2DRSouw/OGQ5P9EQE9ohbahblESAbqSDrTO8ZZ0WDiNljzR44P6cSInQuicC2ymIudXjtb75X62emHC/kTIZJwYkHT4UJhybCPcjxC2mbGS8Z4FQxfqZ0VtiU7KR6ZwNwRtf+S9clUue5Yty4bA8imMObaBNtIM8tIcO0RmqoCqi6B49oVf05jw4L8678zFsnXBGM+vol5zPLz8iq6I=</latexit>
Ian Chaffey

17. #SOCALBSM
Jordan Smolinsky (UCI)
Jordan Smolinsky (UCI -> U. Florida)