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UC Berkeley P290e
How to “see” a neutrino?
Alan Poon

2017.09.27
Neutrino Sources
2
Most neutrino sources are natural (not from accelerators and reactors)
Figure from https://masterclass.icecube.wisc.edu/en/learn/detecting-neutrinos
• Huge flux
• Broad energy range
Why is it so hard to detect neutrinos?
3
Neutrinos participate only in weak interactions
Formaggio and Zeller, Rev. Mod. Phys. 84, 1307 (2012)

[10-27cm2]
Why is it so hard to detect neutrinos?
4
λ =
1
ρσ
σ ∼ 10−43
cm2 @1 MeV
ρ =
(82 e/atom)(11.3 g/cm3
)(6.02 × 1023
atom/mole)
(207 g/mole)
= 2.7 × 1024
e/cm3
λ ∼ 4 × 1016
m = 4 light years
attenuation length
• Look for its decay?
(AFAIK) Neutrinos don’t decay
• Look for its interactions?
Ex: 1-MeV scattering off atomic electrons in Pb:¯νe
Need:
HUGE flux
HUGE target
An explosive idea - Reines and Cowan
5
- Fred Reines
Reines and Cowan scrapped this idea.
Discovery of the (Anti-)Neutrinos
6
€
νefrom reactor
p
e+
511 keV γ
511 keV γ
e+e- annihilationn
γγ
γ’s from n
capture on
Cd
Cd
Liquid Scintillator
γ
Liquid Scintillator
H2O+CdCl2
• F. Reines & C.L. Cowan [Physical Review 117, 160 (1960)]
• Detection at Savannah River reactor plant
Inverse Beta Decay
¯νe + p → n + e+
“Saw” the coincidences!
7
neutrino
neutrino
noise
cosmic ray
Leptonic processes
and
coherent elastic neutrino-nucleus scattering
Neutrino-electron scattering
9
Tree level diagrams:
Targets have a lot of atomic electrons
Charged Current (CC) Neutral Current (NC)
νe, νμ, ντνe  only
ℒ = −
GF
2
[¯νeγμ
(1 −γ5
)e][¯eγμ(1 −γ5
)νe] + [¯νeγμ
(1 −γ5
)νe][¯eγμ(ge
V −ge
Aγ5
)e)]
Neutrino-electron scattering
10
Tree level diagrams:
Targets have a lot of atomic electrons
Charged Current (CC) Neutral Current (NC)
νe, νμ, ντνe  only
gL = sin2
θW ± e
μ,τ
1
2
gR = sin2
θW
gL ↔ gR for ¯ν
σ =
2G2
Fme
π
[(g2
L +
g2
R
3
Eν) −
gLgR
2
me]
Neutrino-electron scattering
11
νe
νe
e
e
θ
(Te, ⃗pe)
(Eν, ⃗pν)
Te =
2meE2
ν cos2
θ
(me + Eν)2 − E2
ν cos2 θ
• Electron emitted at very small angle 

with respect to the neutrino direction Eeθ2
e ≤ 2me:
Solar neutrino image
Solar neutrinos
Cherenkov radiation - seeing relativistic charged particles
12
Graphics from http://physicsopenlab.org/
cos θC =
1
βn
θC = 41∘
in H2O (β~1)
Event in SNO
Cherenkov light is emitted when a charged

particle passes through a dielectric medium

at a speed higher than the speed of light in 

that medium.
Coherent Elastic Neutrino-Nucleus Scattering
13
• When q << 1/R (Eν < 50 MeV),
σTotal ~ N2, but the nucleus recoil
energy is very low.

• First observation was made in a
CsI detector using neutrinos from
the Spallation Neutron Source at
ORNL.

D. Akimov et al., Science 10.1126/science.aao0990 (2017).
electron
CEνNS
Coherent Elastic Neutrino-Nucleus Scattering
14
D. Akimov et al., Science 10.1126/science.aao0990 (2017).
Their signals, your backgrounds
15
Coherent Elastic
Neutrino-Nucleus
Scattering
Inverse beta decay
and
low-energy neutrino-nucleus interactions
Inverse Beta Decay (IBD)
• Recall (the discovery of neutrinos by Reines & Cowan):
• The cross section of this process at low neutrino energy (~ a few MeV) is:









where f = 1.715 and τn = 880.2 (1.0) s 

(but with controversial measurements).
• The neutron lifetime is an important 

parameter that fixes the cross section

for single nucleon processes.
17
Inverse Beta Decay: ¯νe + p → n + e+
σtot =
2π2
m5
e
Ee+ pe+
fτn
E¯νe
> 1.8 MeV
PDG 2017
Geo-neutrinos
• 1 kt liquid scintillator
• Detect anti-neutrinos from reactors and
earth’s core by IBD
18 Shirahata 2017
Using other nuclei as neutrino target
• The first detection of solar neutrinos by Ray Davis (615t of C2Cl4 at
Homestake mine (now SURF) in SD:
19
νe + 37Cl → 37Ar + e−
(Eν > 0.814 MeV)
• Flushed tank, collected 37Ar, looked for its
decay back to 37Cl.
• Solar Neutrino Problem: only 1/3 of the
expected number of solar neutrinos was
observed.
• Ray Davis won the Nobel Prize in Physics
(with M. Koshiba) in 2002.
• Note:
• The Sun only emits (p-p chain)
• Charged-current (in detection) only
sensitive to
νe
νe
Solar Neutrino Problem (~2000)
• Are the Standard Solar Model predictions wrong?
• Or is there something about the neutrinos that we don’t understand?
20
Measure CC and NC (νe vs all flavors)
21
CC
NC
=
νe
νe + νµ +ντ
CC
ES
=
νe
νe + 0.15(νµ + ντ )
φCC
(νe ) < φNC
(νx )
φCC
(νe ) < φES
(νx )
Transformation to another
active flavor if:
Measure:
Alternatively…
Flavor transformation (particle physics) can be tested without any
assumption on the Standard Solar Model prediction of the total neutrino flux.
Is there a magic target ?
The deuteron
22
CC
NC
ES
νe + d → p + p + e−
νx + d → p + n + ν′x
νx + e−
→ νx + e−
•2 km underground at Vale’s Creighton
mine near Sudbury, ON, Canada
•1000t of D2O in a 12-m φ acrylic sphere
Sudbury Neutrino Observatory (SNO)
23
SNO provided the first direct observation of neutrino flavor transformation
(which requires neutrinos to be massive)
• A weak eigenstate is a linear combination of mass eigenstates :
where U = Maki-Nakagawa-Sakata-Pontecorvo (MNSP) matrix.
Aside: neutrino mixing
| | i
| =
3
i=1
U i| i
|U| =
0
@
0.779 $ 0.848 0.510 $ 0.604 0.122 $ 0.190
0.183 $ 0.568 0.385 $ 0.728 0.613 $ 0.794
0.200 $ 0.576 0.408 $ 0.742 0.589 $ 0.775
1
A
|⌫ei = (⇠ 0.81) |⌫1i + (⇠ 0.55) |⌫2i + (⇠ 0.16) |⌫3i
|⌫µi = (⇠ 0.38) |⌫1i + (⇠ 0.56) |⌫2i + (⇠ 0.70) |⌫3i
|⌫⌧ i = (⇠ 0.39) |⌫1i + (⇠ 0.58) |⌫2i + (⇠ 0.68) |⌫3i
KamLAND - Reactor Anti-Neutrino
KamLAND showed that neutrino oscillation is the origin of flavor
transformation seen in SNO
25
Nobs/Nno
prediction:
Δm2 = 5.5x10-5 eV2
sin2 2θ = 0.833
P⌫e!⌫e
= 1 sin2
2✓ sin2
✓
1.27
m2
[eV2
] L[m]
E[MeV]
◆
Other nuclear targets for ν detection
• A common target is liquid scintillator (lots of C and H), but there have been
other nuclei that have been studied quite extensively
• Theory vs experimental cross section agreement generally good for low
energy (1-300 MeV)
26
Intermediate-energy and high-energy
neutrino-nucleus interactions
Atmospheric ν problem (before 1998)
28
Expect Rμ/e: (νµ + νµ) / (νe + νe ) ~ 2
Measured ~ 0.6-0.7 of expectation
π+ → µ+ + νµ
e+ + νe + νµ
π− → µ− + νµ
e− + νe + νµ
Much higher energy 

than solar neutrinos
Intermediate-energy neutrino cross section
• The nucleus is typically described in terms of individual quasi-free nucleons
that participate in the scattering process
29
νμ N → μ−
X
¯νμ N → μ+
X
1. Quasielastic scattering (QE)
• Example: ,

• Final-state nucleon usually invisible in water
Cherenkov detector 

νμ n → μ−
p ¯νμ p → μ+
n
2. Resonant (RES)
• Neutrino interaction produces a baryon
resonance, which quickly decays and
most often to a nucleon and single pion
final state: 

νμ N → μ−
N* ; N* → π N′
3. Deep Inelastic Scattering (DIS)
• Both CC and NC possible

• Example: 
 ν + q → l−
q ′; q ′ → hadrons
4. NC Neutrino-Nucleon Interactions
ν + N → ν + X
The axial mass MA puzzle
QE scattering at O(GeV) needs to take into account the nucleon structure:
30
jμ
= [FV
1 (Q2
)γμ
+ i
κ
2M
FV
2 (Q2
)σμν
q ν − FA(Q2
)γμ
γ5
+ FP(Q2
)q μ
γ5
]τ±
The axial mass MA puzzle
QE scattering at O(GeV) needs to take into account the nucleon structure:
31
jμ
= [FV
1 (Q2
)γμ
+ i
κ
2M
FV
2 (Q2
)σμν
q ν − FA(Q2
)γμ
γ5
+ FP(Q2
)q μ
γ5
]τ±
Vector - OK
(from electron scattering)
Pseudoscalar - small
(~ml/M)2
The axial mass MA puzzle
QE scattering at O(GeV) needs to take into account the nucleon structure:
32
jμ
= [FV
1 (Q2
)γμ
+ i
κ
2M
FV
2 (Q2
)σμν
q ν − FA(Q2
)γμ
γ5
+ FP(Q2
)q μ
γ5
]τ±
FA(Q2
) =
1.267
(1 + Q2/M2
A)
2
Old (pre-1990) average:
Newer measurements (K2K, MINOS, 

MiniBooNE…etc) are higher, up to ~1.35 GeV
MA = 1.03 ± 0.02 GeV
12C
Super-Kamiokande
• 50 kt H2O, 22 kt fiducial volume
• Water Cherenkov detector
33
Event classification
Super-Kamiokande
34
Kajita
Reminder:
Segre Lecture - Kajita
5:30pm, Oct 30, 2017
First demonstration of physics
beyond the Standard Model (neutrino
oscillations, hence neutrino mass)
Neutrino 1998 conference
L/E (Further evidence of neutrino oscillation)
35
P⌫e!⌫e
= 1 sin2
2✓ sin2
✓
1.27
m2
[eV2
] L[m]
E[MeV]
◆
SuperKamiokande
PRL 93, 101801 (2004)
KamLAND
Cosmic Messenger
36
IceCube
July 2017
Highest-energy neutrinos observed
37
1.04 PeV
1.14 PeV
IceCube
2 PeV
“Big Bird”
1 PeV =1015 eV
How to measure the neutrino mass?
How to measure the mass of the neutrino?
⇡+
! µ+
+ ⌫µ
(in a model independent way)
How to measure the mass of the neutrino?
• Finding the missing mass at accelerator. For example:
• Energy-momentum conservation says (for pion decay at
rest):
• How well can the momentum of the muon be measured?
At an experiment at PSI [Phys. Rev. D53, 6065 (1996)], it was
measured to ~ 4 ppm:
⇡+
! µ+
+ ⌫µ
m2
⌫µ
= m2
⇡+ + m2
µ+ 2m⇡+ (m2
µ+ + p2
µ+ )1/2
pµ+ = (29.79200 ± 0.00011) MeV/c
Not good enough !
(when you want to measure neutrino mass to sub-eV level) !
Determining the neutrino mass from β endpoint
Z Q
Q E
dN
dE
dE ⇡ 2
✓
E
Q
◆3
Only a tiny fraction of decays will end up near the endpoint
An ideal isotope would have very small Q
Neutrino mass limit from beta-decays
Wilkerson 2012
Neutrino mass limit from beta-decays
Wilkerson 2012
Tritium β-decay
(12.3 yr half-life)
Neutrino mass limit from beta-decays
Wilkerson 2012
Mainz (2005, final result)
m(νe) < 2.3 eV (95% CL)
C. Kraus et al., EPJ C40:447
Troitsk (2011, re-analysis)
m(νe) < 2.05 eV (95% CL)
V. N. Aseev et al., PRD 84:112003
Another way to “see” the beta-electrons
45
! =
!
=
qB
me + E
coherent cyclotron radiation
Asner et al., PRL 114 (2015) 162501
83mKr test
A Nobel idea….
Seeing the cosmic neutrino background
47
Tν = 1.95 K
Tγ = 2.725 Kcf
The energy is so low
HOW?
per (neutrino+antineutrino) species
Seeing the cosmic neutrino background
48
Tritium and other isotopes studied for relic neutrino capture in:
Cocco, Mangano, Messina, JCAP 0706 (2007)015
Neutrino capture on Tritium
With 100 g of tritium, event rate is
~O(10) events per year
Seeing the cosmic neutrino background
49
Neutrino capture on Tritium
Gap (2m) constrained to < ~0.6eV
from Cosmology
(some electron flavor expected with
2m>0.1eV from neutrino oscillations)
What do we know?
Tritium β-decay
Endpoint (Q)
Challenges:
• Energy resolution

• Background

• Triggering on the electrons 

near endpoint
Tully 2017
Supported by:
The Simons Foundation
The John Templeton Foundation
PTOLEMY (R&D)
• Long baseline neutrino experiments 

(CP violation and neutrino mass
hierarchy)

• Neutrino astronomy

• Neutrinoless double beta decays

• Sterile neutrinos 

(from reactor and beam experiments)

• Neutrinos in cosmology….
But I have covered how to “see” the neutrinos in the energy ranges of the
sources in Slide 3, so you can explore these additional topics on your own.

[10-27cm2]
Neutrino topics that I didn’t cover (many):
References
• Christine Sutton, Spaceship Neutrinos, Cambridge
University Press (1992).
• H. Gallagher et al., Neutrino-Nucleus Interactions,
Annu. Rev. Nucl. Part. Sci. 61, 355 (2011).
• J. A. Formaggio and G. P. Zeller, From eV to EeV:
Neutrino cross sections across energy scales, Rev.
Mod. Phys. 84, 1307 (2012).
• T. W. Donnelly et al., Foundations of Nuclear and
Particle Physics, Cambridge University Press (2017).
51
Neutrino interactions
53 Halzen & Martin
Solar Neutrinos
54
pp chain:
4p + 2e → 4He + 2νe + 26.7 MeV
Standard
Solar
Model
Detailed computer
model of solar
evolution
Standard Solar Model
55
SuperK, SNO(CC)
Chlorine
Gallium
SNO(NC)
pp chain should only produce νe
Aside: Neutrino Oscillations
56
C. Guinti
Mass Hierarchy & CPV - Future
Future neutrino oscillation studies
JUNO (20kt LS)
IceCube/DeepCore/PINGU
Supernovae
Now
2026
KM3Net-ORCA
DUNE (40 kt LAr)
[Gu]
Hyper-K (187 kt H2O FV)
INO
[Singh]
CHIPS
SuperK
CPV & MH - Future
Hyper-K
Technologies that I found impressive
protoDUNE dual-phase
LAr TPC R&D
Reached design spec of 2.5 kV/cm extraction field
[Zambelli]
[Takeuchi]
CPV & MH - Future
Gu, DeYoung, Coelho
3y
MH
MH
CPV & MH - Future
Takeuchi, Ji
“Vanilla” mass mechanism
(T0⌫
1/2) 1
= G0⌫(Q , Z) |M0⌫|
2
hm i2
form
factor
nuclear
matrix
element
effective
Majorana
mass
hm i =
3X
i=1
U2
eimi
Normal Ordering Inverted Ordering
mass
1
2
3
1
2
3
m2
23 50 meV
m2
12 8 meV
mass
msmallest
Halflife mass scale
Signal
63
Energy resolution and low backgrounds are keys!
T1/2 ~ 1018-20 y T1/2 > 1026 y
Considerations
• Preferably:
• high isotopic abundance
• high efficiency
• large mass
• long exposure
• low background
• good energy resolution
There is not an
obvious choice
of isotope or
detector
technology
Many experimental ideas…presented here
Päs & Rodejohann, New J. Phys. 17 115010 (2015)
65
Many experimental ideas…presented here
66
GERDA
CUORE SNO+
CUPID-0
+
other “CUPIDs”
Schütz, Fujikawa, Nones,
Casali, Giuliani, Barrros, Hogan
0νββ news - GERDA (76Ge)
Schütz
0νββ news - CUORE (130Te)
Fujikawa
0νββ trailers - CUPIDs
Nones
CUPID-0 (Zn82Se)
Guliani
CUPID-Mo
Cardini
Kinetic Inductance Detectors
Problem: alpha background
0νββ trailers
SNO+
SuperNEMO
Hugon
Barros
“ton-scale”
LEGEND
Schütz
Mass sensitivity
Gerda-II
arXiv:1605.02889v1

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How to "see" a neutrino?

  • 1. UC Berkeley P290e How to “see” a neutrino? Alan Poon 2017.09.27
  • 2. Neutrino Sources 2 Most neutrino sources are natural (not from accelerators and reactors) Figure from https://masterclass.icecube.wisc.edu/en/learn/detecting-neutrinos • Huge flux • Broad energy range
  • 3. Why is it so hard to detect neutrinos? 3 Neutrinos participate only in weak interactions Formaggio and Zeller, Rev. Mod. Phys. 84, 1307 (2012) [10-27cm2]
  • 4. Why is it so hard to detect neutrinos? 4 λ = 1 ρσ σ ∼ 10−43 cm2 @1 MeV ρ = (82 e/atom)(11.3 g/cm3 )(6.02 × 1023 atom/mole) (207 g/mole) = 2.7 × 1024 e/cm3 λ ∼ 4 × 1016 m = 4 light years attenuation length • Look for its decay? (AFAIK) Neutrinos don’t decay • Look for its interactions? Ex: 1-MeV scattering off atomic electrons in Pb:¯νe Need: HUGE flux HUGE target
  • 5. An explosive idea - Reines and Cowan 5 - Fred Reines Reines and Cowan scrapped this idea.
  • 6. Discovery of the (Anti-)Neutrinos 6 € νefrom reactor p e+ 511 keV γ 511 keV γ e+e- annihilationn γγ γ’s from n capture on Cd Cd Liquid Scintillator γ Liquid Scintillator H2O+CdCl2 • F. Reines & C.L. Cowan [Physical Review 117, 160 (1960)] • Detection at Savannah River reactor plant Inverse Beta Decay ¯νe + p → n + e+
  • 8. Leptonic processes and coherent elastic neutrino-nucleus scattering
  • 9. Neutrino-electron scattering 9 Tree level diagrams: Targets have a lot of atomic electrons Charged Current (CC) Neutral Current (NC) νe, νμ, ντνe  only ℒ = − GF 2 [¯νeγμ (1 −γ5 )e][¯eγμ(1 −γ5 )νe] + [¯νeγμ (1 −γ5 )νe][¯eγμ(ge V −ge Aγ5 )e)]
  • 10. Neutrino-electron scattering 10 Tree level diagrams: Targets have a lot of atomic electrons Charged Current (CC) Neutral Current (NC) νe, νμ, ντνe  only gL = sin2 θW ± e μ,τ 1 2 gR = sin2 θW gL ↔ gR for ¯ν σ = 2G2 Fme π [(g2 L + g2 R 3 Eν) − gLgR 2 me]
  • 11. Neutrino-electron scattering 11 νe νe e e θ (Te, ⃗pe) (Eν, ⃗pν) Te = 2meE2 ν cos2 θ (me + Eν)2 − E2 ν cos2 θ • Electron emitted at very small angle 
 with respect to the neutrino direction Eeθ2 e ≤ 2me: Solar neutrino image Solar neutrinos
  • 12. Cherenkov radiation - seeing relativistic charged particles 12 Graphics from http://physicsopenlab.org/ cos θC = 1 βn θC = 41∘ in H2O (β~1) Event in SNO Cherenkov light is emitted when a charged
 particle passes through a dielectric medium
 at a speed higher than the speed of light in 
 that medium.
  • 13. Coherent Elastic Neutrino-Nucleus Scattering 13 • When q << 1/R (Eν < 50 MeV), σTotal ~ N2, but the nucleus recoil energy is very low. • First observation was made in a CsI detector using neutrinos from the Spallation Neutron Source at ORNL. D. Akimov et al., Science 10.1126/science.aao0990 (2017). electron CEνNS
  • 14. Coherent Elastic Neutrino-Nucleus Scattering 14 D. Akimov et al., Science 10.1126/science.aao0990 (2017).
  • 15. Their signals, your backgrounds 15 Coherent Elastic Neutrino-Nucleus Scattering
  • 16. Inverse beta decay and low-energy neutrino-nucleus interactions
  • 17. Inverse Beta Decay (IBD) • Recall (the discovery of neutrinos by Reines & Cowan): • The cross section of this process at low neutrino energy (~ a few MeV) is:
 
 
 
 
 where f = 1.715 and τn = 880.2 (1.0) s 
 (but with controversial measurements). • The neutron lifetime is an important 
 parameter that fixes the cross section
 for single nucleon processes. 17 Inverse Beta Decay: ¯νe + p → n + e+ σtot = 2π2 m5 e Ee+ pe+ fτn E¯νe > 1.8 MeV PDG 2017
  • 18. Geo-neutrinos • 1 kt liquid scintillator • Detect anti-neutrinos from reactors and earth’s core by IBD 18 Shirahata 2017
  • 19. Using other nuclei as neutrino target • The first detection of solar neutrinos by Ray Davis (615t of C2Cl4 at Homestake mine (now SURF) in SD: 19 νe + 37Cl → 37Ar + e− (Eν > 0.814 MeV) • Flushed tank, collected 37Ar, looked for its decay back to 37Cl. • Solar Neutrino Problem: only 1/3 of the expected number of solar neutrinos was observed. • Ray Davis won the Nobel Prize in Physics (with M. Koshiba) in 2002. • Note: • The Sun only emits (p-p chain) • Charged-current (in detection) only sensitive to νe νe
  • 20. Solar Neutrino Problem (~2000) • Are the Standard Solar Model predictions wrong? • Or is there something about the neutrinos that we don’t understand? 20
  • 21. Measure CC and NC (νe vs all flavors) 21 CC NC = νe νe + νµ +ντ CC ES = νe νe + 0.15(νµ + ντ ) φCC (νe ) < φNC (νx ) φCC (νe ) < φES (νx ) Transformation to another active flavor if: Measure: Alternatively… Flavor transformation (particle physics) can be tested without any assumption on the Standard Solar Model prediction of the total neutrino flux. Is there a magic target ?
  • 22. The deuteron 22 CC NC ES νe + d → p + p + e− νx + d → p + n + ν′x νx + e− → νx + e− •2 km underground at Vale’s Creighton mine near Sudbury, ON, Canada •1000t of D2O in a 12-m φ acrylic sphere
  • 23. Sudbury Neutrino Observatory (SNO) 23 SNO provided the first direct observation of neutrino flavor transformation (which requires neutrinos to be massive)
  • 24. • A weak eigenstate is a linear combination of mass eigenstates : where U = Maki-Nakagawa-Sakata-Pontecorvo (MNSP) matrix. Aside: neutrino mixing | | i | = 3 i=1 U i| i |U| = 0 @ 0.779 $ 0.848 0.510 $ 0.604 0.122 $ 0.190 0.183 $ 0.568 0.385 $ 0.728 0.613 $ 0.794 0.200 $ 0.576 0.408 $ 0.742 0.589 $ 0.775 1 A |⌫ei = (⇠ 0.81) |⌫1i + (⇠ 0.55) |⌫2i + (⇠ 0.16) |⌫3i |⌫µi = (⇠ 0.38) |⌫1i + (⇠ 0.56) |⌫2i + (⇠ 0.70) |⌫3i |⌫⌧ i = (⇠ 0.39) |⌫1i + (⇠ 0.58) |⌫2i + (⇠ 0.68) |⌫3i
  • 25. KamLAND - Reactor Anti-Neutrino KamLAND showed that neutrino oscillation is the origin of flavor transformation seen in SNO 25 Nobs/Nno prediction: Δm2 = 5.5x10-5 eV2 sin2 2θ = 0.833 P⌫e!⌫e = 1 sin2 2✓ sin2 ✓ 1.27 m2 [eV2 ] L[m] E[MeV] ◆
  • 26. Other nuclear targets for ν detection • A common target is liquid scintillator (lots of C and H), but there have been other nuclei that have been studied quite extensively • Theory vs experimental cross section agreement generally good for low energy (1-300 MeV) 26
  • 28. Atmospheric ν problem (before 1998) 28 Expect Rμ/e: (νµ + νµ) / (νe + νe ) ~ 2 Measured ~ 0.6-0.7 of expectation π+ → µ+ + νµ e+ + νe + νµ π− → µ− + νµ e− + νe + νµ Much higher energy 
 than solar neutrinos
  • 29. Intermediate-energy neutrino cross section • The nucleus is typically described in terms of individual quasi-free nucleons that participate in the scattering process 29 νμ N → μ− X ¯νμ N → μ+ X 1. Quasielastic scattering (QE) • Example: , • Final-state nucleon usually invisible in water Cherenkov detector νμ n → μ− p ¯νμ p → μ+ n 2. Resonant (RES) • Neutrino interaction produces a baryon resonance, which quickly decays and most often to a nucleon and single pion final state: νμ N → μ− N* ; N* → π N′ 3. Deep Inelastic Scattering (DIS) • Both CC and NC possible • Example: ν + q → l− q ′; q ′ → hadrons 4. NC Neutrino-Nucleon Interactions ν + N → ν + X
  • 30. The axial mass MA puzzle QE scattering at O(GeV) needs to take into account the nucleon structure: 30 jμ = [FV 1 (Q2 )γμ + i κ 2M FV 2 (Q2 )σμν q ν − FA(Q2 )γμ γ5 + FP(Q2 )q μ γ5 ]τ±
  • 31. The axial mass MA puzzle QE scattering at O(GeV) needs to take into account the nucleon structure: 31 jμ = [FV 1 (Q2 )γμ + i κ 2M FV 2 (Q2 )σμν q ν − FA(Q2 )γμ γ5 + FP(Q2 )q μ γ5 ]τ± Vector - OK (from electron scattering) Pseudoscalar - small (~ml/M)2
  • 32. The axial mass MA puzzle QE scattering at O(GeV) needs to take into account the nucleon structure: 32 jμ = [FV 1 (Q2 )γμ + i κ 2M FV 2 (Q2 )σμν q ν − FA(Q2 )γμ γ5 + FP(Q2 )q μ γ5 ]τ± FA(Q2 ) = 1.267 (1 + Q2/M2 A) 2 Old (pre-1990) average: Newer measurements (K2K, MINOS, 
 MiniBooNE…etc) are higher, up to ~1.35 GeV MA = 1.03 ± 0.02 GeV 12C
  • 33. Super-Kamiokande • 50 kt H2O, 22 kt fiducial volume • Water Cherenkov detector 33 Event classification
  • 34. Super-Kamiokande 34 Kajita Reminder: Segre Lecture - Kajita 5:30pm, Oct 30, 2017 First demonstration of physics beyond the Standard Model (neutrino oscillations, hence neutrino mass) Neutrino 1998 conference
  • 35. L/E (Further evidence of neutrino oscillation) 35 P⌫e!⌫e = 1 sin2 2✓ sin2 ✓ 1.27 m2 [eV2 ] L[m] E[MeV] ◆ SuperKamiokande PRL 93, 101801 (2004) KamLAND
  • 37. Highest-energy neutrinos observed 37 1.04 PeV 1.14 PeV IceCube 2 PeV “Big Bird” 1 PeV =1015 eV
  • 38. How to measure the neutrino mass?
  • 39. How to measure the mass of the neutrino? ⇡+ ! µ+ + ⌫µ (in a model independent way)
  • 40. How to measure the mass of the neutrino? • Finding the missing mass at accelerator. For example: • Energy-momentum conservation says (for pion decay at rest): • How well can the momentum of the muon be measured? At an experiment at PSI [Phys. Rev. D53, 6065 (1996)], it was measured to ~ 4 ppm: ⇡+ ! µ+ + ⌫µ m2 ⌫µ = m2 ⇡+ + m2 µ+ 2m⇡+ (m2 µ+ + p2 µ+ )1/2 pµ+ = (29.79200 ± 0.00011) MeV/c Not good enough ! (when you want to measure neutrino mass to sub-eV level) !
  • 41. Determining the neutrino mass from β endpoint Z Q Q E dN dE dE ⇡ 2 ✓ E Q ◆3 Only a tiny fraction of decays will end up near the endpoint An ideal isotope would have very small Q
  • 42. Neutrino mass limit from beta-decays Wilkerson 2012
  • 43. Neutrino mass limit from beta-decays Wilkerson 2012 Tritium β-decay (12.3 yr half-life)
  • 44. Neutrino mass limit from beta-decays Wilkerson 2012 Mainz (2005, final result) m(νe) < 2.3 eV (95% CL) C. Kraus et al., EPJ C40:447 Troitsk (2011, re-analysis) m(νe) < 2.05 eV (95% CL) V. N. Aseev et al., PRD 84:112003
  • 45. Another way to “see” the beta-electrons 45 ! = ! = qB me + E coherent cyclotron radiation Asner et al., PRL 114 (2015) 162501 83mKr test
  • 47. Seeing the cosmic neutrino background 47 Tν = 1.95 K Tγ = 2.725 Kcf The energy is so low HOW? per (neutrino+antineutrino) species
  • 48. Seeing the cosmic neutrino background 48 Tritium and other isotopes studied for relic neutrino capture in: Cocco, Mangano, Messina, JCAP 0706 (2007)015 Neutrino capture on Tritium With 100 g of tritium, event rate is ~O(10) events per year
  • 49. Seeing the cosmic neutrino background 49 Neutrino capture on Tritium Gap (2m) constrained to < ~0.6eV from Cosmology (some electron flavor expected with 2m>0.1eV from neutrino oscillations) What do we know? Tritium β-decay Endpoint (Q) Challenges: • Energy resolution • Background • Triggering on the electrons 
 near endpoint Tully 2017 Supported by: The Simons Foundation The John Templeton Foundation PTOLEMY (R&D)
  • 50. • Long baseline neutrino experiments 
 (CP violation and neutrino mass hierarchy) • Neutrino astronomy • Neutrinoless double beta decays • Sterile neutrinos 
 (from reactor and beam experiments) • Neutrinos in cosmology…. But I have covered how to “see” the neutrinos in the energy ranges of the sources in Slide 3, so you can explore these additional topics on your own. [10-27cm2] Neutrino topics that I didn’t cover (many):
  • 51. References • Christine Sutton, Spaceship Neutrinos, Cambridge University Press (1992). • H. Gallagher et al., Neutrino-Nucleus Interactions, Annu. Rev. Nucl. Part. Sci. 61, 355 (2011). • J. A. Formaggio and G. P. Zeller, From eV to EeV: Neutrino cross sections across energy scales, Rev. Mod. Phys. 84, 1307 (2012). • T. W. Donnelly et al., Foundations of Nuclear and Particle Physics, Cambridge University Press (2017). 51
  • 52.
  • 54. Solar Neutrinos 54 pp chain: 4p + 2e → 4He + 2νe + 26.7 MeV Standard Solar Model Detailed computer model of solar evolution
  • 55. Standard Solar Model 55 SuperK, SNO(CC) Chlorine Gallium SNO(NC) pp chain should only produce νe
  • 57. Mass Hierarchy & CPV - Future
  • 58. Future neutrino oscillation studies JUNO (20kt LS) IceCube/DeepCore/PINGU Supernovae Now 2026 KM3Net-ORCA DUNE (40 kt LAr) [Gu] Hyper-K (187 kt H2O FV) INO [Singh] CHIPS SuperK
  • 59. CPV & MH - Future Hyper-K Technologies that I found impressive protoDUNE dual-phase LAr TPC R&D Reached design spec of 2.5 kV/cm extraction field [Zambelli] [Takeuchi]
  • 60. CPV & MH - Future Gu, DeYoung, Coelho 3y MH MH
  • 61. CPV & MH - Future Takeuchi, Ji
  • 62. “Vanilla” mass mechanism (T0⌫ 1/2) 1 = G0⌫(Q , Z) |M0⌫| 2 hm i2 form factor nuclear matrix element effective Majorana mass hm i = 3X i=1 U2 eimi Normal Ordering Inverted Ordering mass 1 2 3 1 2 3 m2 23 50 meV m2 12 8 meV mass msmallest Halflife mass scale
  • 63. Signal 63 Energy resolution and low backgrounds are keys! T1/2 ~ 1018-20 y T1/2 > 1026 y
  • 64. Considerations • Preferably: • high isotopic abundance • high efficiency • large mass • long exposure • low background • good energy resolution There is not an obvious choice of isotope or detector technology
  • 65. Many experimental ideas…presented here Päs & Rodejohann, New J. Phys. 17 115010 (2015) 65
  • 66. Many experimental ideas…presented here 66 GERDA CUORE SNO+ CUPID-0 + other “CUPIDs” Schütz, Fujikawa, Nones, Casali, Giuliani, Barrros, Hogan
  • 67. 0νββ news - GERDA (76Ge) Schütz
  • 68. 0νββ news - CUORE (130Te) Fujikawa
  • 69. 0νββ trailers - CUPIDs Nones CUPID-0 (Zn82Se) Guliani CUPID-Mo Cardini Kinetic Inductance Detectors Problem: alpha background