contents lecture 1 general introduction what is measured in dbd ? neutrino oscillations and dbd...
TRANSCRIPT
![Page 1: Contents Lecture 1 General introduction What is measured in DBD ? Neutrino oscillations and DBD Other BSM physics and DBD Nuclear matrix elements Lecture](https://reader030.vdocument.in/reader030/viewer/2022032803/56649e1b5503460f94b0a011/html5/thumbnails/1.jpg)
Contents
Lecture 1
• General introduction
• What is measured in DBD ?
• Neutrino oscillations and DBD
• Other BSM physics and DBD
• Nuclear matrix elements
Lecture 2
• Experimental considerations
• Current status of experiments
• Future activities
• Outlook and summary
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Nuclear matrix elements
The dark side of double beta decay
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Nuclear matrix elements
F. Simkovic
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UncertaintiesF. Simkovic
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UncertaintiesF. Simkovic
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Reminder
2 0
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Multipoles0: All intermediate states contribute
How to explore those???
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Charge exchange reactions
Currently: (d,2He) and (3He,t)
2: Only intermediate 1+ states contributeSupportive measurementsfrom accelerators
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M0 calculationsV. Rodin, A. Faessler, F. Simkovic, P. Vogel, nucl-th/0503063
Looks convincing, but not everybody agrees...
Remember: Half life to neutrino mass conversion is proportional to M2
Consequence: We have to measure 3-4 isotopesto compensate for that
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Summary - So far• Neutrinoless double beta decay is the gold plated channel to probe the
Majorana character of neutrinos• It also provides information on the absolute neutrino mass scale• Benchmark of 50 meV, hierarchies hard to disentangle, probably only
way of laboratory experiment to go to 50 meV (ignoring claimed evidence)
• If observed, Schechter-Valle theorem guarantees Majorana neutrinos• A lot of physics can be deduced not accessible to accelerators, but how
to disentangle contributions to 0• However there are also major uncertainties, especially nuclear matrix
elements• We have achieved quite a lot, but there is still a lot to do
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Can you prove that is Dirac?
Answer: Show that neutrinos have a static magnetic momentt
E em B d EEnergy in field:
CPT changes sign of spin, thus Eem=-Eem, bu they must be theesame for Majorana neutrinos. Hence
d 0
eL
eR
ee e
e
eR
R
3GFe
8 2 2m 3.210 19 m
eV
B
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Contents
Lecture 1
• General introduction
• What is measured in DBD ?
• Neutrino oscillations and DBD
• Other BSM physics and DBD
• Nuclear matrix elements
Lecture 2
• Experimental considerations
• Current status of experiments
• Future activities
• Outlook and summary
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The search for 0or
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Phase space decay rate scales with Q5
2 decay rate scales with Q11
Q-value (keV)
Isotope Nat. abund. (%)
(PS 0v)–1 (yrs x eV2)
(PS 2v) –1 (yrs)
Ca 48 4271 0.187 4.10E24 2.52E16Ge 76 2039 7.8 4.09E25 7.66E18Se 82 2995 9.2 9.27E24 2.30E17Zr 96 3350 2.8 4.46E24 5.19E16Mo 100 3034 9.6 5.70E24 1.06E17Pd 110 2013 11.8 1.86E25 2.51E18Cd 116 2802 7.5 5.28E24 1.25E17Sn 124 2288 5.64 9.48E24 5.93E17Te 130 2529 34.5 5.89E24 2.08E17Xe 136 2479 8.9 5.52E24 2.07E17Nd 150 3367 5.6 1.25E24 8.41E15
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Back of the envelope
1/2 = ln2 • a • NA• M • t / N (T) ( Background free)
For half-life measurements of 1024-25 yrs
1 event/yr you need 1024-25 source atoms
This is about 10 moles of isotope, implying 1 kg
Now you only can loose: nat. abundance, efficiency, background, ...
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Spectral shapes
Sum energy spectrum of both electrons
0: Peak at Q-value of nuclear transition
T1/2 a • (M•t/E•B)1/2
1 / T1/2 = PS * ME2 * (m / me)2
Measured quantity: Half-life
Dependencies (BG limited)
link to neutrino mass
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Half - life estimate 0
T1/2 a • (M•t/E•B)1/2 • a: isotopical abundance • M: mass
• t: measuring time
• E: energy resolution
• B: background (c/keV/kg/yr)
Signal sensitivity stat. precision of background Nobs = NBG
1/2 = ln2 • a • NA• M • t / N (T)
Background Background detector mass detector mass
Q EQ+E/2Q-E/2
B
N BEMt
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Signal information
Single electron energies
Daughter ion (A,Z+2)
Angle between electrons
Sum energy of both electrons
Gamma rays (eg. four 511 keV photons in ++)
(A,Z) (A,Z+2) + 2 e-
Signal: One new isotope (ionised), two electrons (fixed total energy)
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The dominant problem - Background
• Cosmogenics
• thermal neutrons
How to measure half-lives beyond 1020 years???
• The usual suspects (U, Th nat. decay chains)
• 2
• Alphas, Betas, Gammas
• High energy neutrons from muon interactions
The first thing you need is a mountain, mine,...
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Contents
Lecture 1
• General introduction
• What is measured in DBD ?
• Neutrino oscillations and DBD
• Other BSM physics and DBD
• Nuclear matrix elements
Lecture 2
• Experimental considerations
• Current status of experiments
• Future activities
• Outlook and summary
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Geochemical approachMajor advantage: Experiment is running since a billion years
N(Z 2, A)
N(Z, A)
1
TT: age of ore
Practically search has been possible due to the high sensitivity ofnoble gas mass spectrometry. Thus daughter should be noble gas.
Signal: Isotopical anomaly
82Se, 128,130Te
T. Kirsten et al, PRL 20 (1968)
Disadvantage:You cannot discriminate2 from 0
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Experimental techniques
Source = detector Source detector
Time projection chambers (TPC)Semiconductors
Cryogenic bolometers
Scintillators
NEMO-3, SuperNEMO,DCBA, EXO
Heidelberg-Moscow, IGEX,COBRA, GERDA, MAJORANA
CUORICINO, CUORE
SNO+, CANDLES, MOON,GSO, XMASS
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Heidelberg -Moscow• Five Ge diodes (overall mass 10.9 kg) Five Ge diodes (overall mass 10.9 kg) isotopically enriched ( 86%) in isotopically enriched ( 86%) in 7676Ge Ge • Lead box and nitrogen flushing ofLead box and nitrogen flushing of the detectors the detectors • Digital Pulse ShapeDigital Pulse Shape Analysis Analysis Peak at 2039 keVPeak at 2039 keV
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0 p
eak
regi
on
Spectrum
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Latest HD-Moscow results Statistical significance: 54.98 kg x yr
Including pulse shape analysis: 35.5 kg x yr
T1/2 > 1.9 x 1025 yr (90% CL)
(installed Nov. 95, only 4 detectors)
m < 0.35 eV
SSE
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Evidence for 0-decay?- References Latest Heidelberg-Moscow results
H.V. Klapdor-Kleingrothaus et al., Eur. Phys. J. A 12,147 (2001)
EvidenceH.V. Klapdor-Kleingrothaus et al., Mod. Phys. Lett. A 16,2409 (2001)
Critical commentsF. Feruglio et al., hep-ph/0201291
C.A. Aalseth et al., hep-ex/0202018
ReplyH.V. Klapdor-Kleingrothaus, hep-ph/0205228
H.L. Harney, hep-ph/0205293
New evidenceH.V. Klapdor-Kleingrothaus et al., Phys. Lett. B 586,198 (2004)
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Heidelberg -Moscow
H.V. Klapdor-Kleingrothaus et al, Phys. Lett. B 586, 198 (2004)
T1/2 = 0.6 - 8.4 x 1025 yr m = 0.17 - 0.63 eVSubgroup of collaboration
more statistics
Recalibration
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The peak...
1.) Is there a peak?
2.) If it is real, is it something specific to Ge?
Statistical treatment (Bayesian)
56Co produced by cosmic rays (2034 keV photon+ 6 keV X-ray) 76Ge(n,)77Ge (2038 keV photon) Some unknown line
Inelastic neutron scattering (n,n‘) on lead
Other suggestions, can be combination of all
Note: We are talking about 1 event/year The easiest person to fool is yourself (R. Feynman)
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<m>=0.4eV
V. Rodin et alV. Rodin et al., nucl-th/0503063, Nucl. Phys. A nucl-th/0503063, Nucl. Phys. A 20062006
Uncertainties in nuclear matrix elements, example 116Cd
Check with a different isotope
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CUORICINO-CUORE - Principle
Thermal coupling
Heat sink
Thermometer
Double beta decay
Crystal absorber
example: 750 g of TeO2 @ 10 mK
C ~ T 3 (Debye) C ~ 2×10-9 J/K1 MeV -ray T ~ 80 K
U ~10 eV
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CUORICINO - Spectrum
Gamma regionGamma region, dominated by gamma and beta events, highest gamma line = 2615 keV 208Tl line (from 232Th chain)
0DBD
Alpha regionAlpha region, dominated by alpha peaks
(internal or surface contaminations)
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CUORICINO - Results
60Co sum208Tl
130Te DBD
T1/2 > 2.4 x 1024 yrs (90% CL)
m < 0.2-1.1 eV
about 40 kg running
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CUORICINO-CUORE
Future: CUORE 760 kg TeO2 approved
13x4 crystals/tower19 towers
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NEMO-3Only approach with source different from detector
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100Mo 6.914 kg Q= 3034 keV
decay isotopes in NEMO-3 detector
82Se 0.932 kg Q= 2995 keV
116Cd 405 g Q= 2805 keV
96Zr 9.4 g Q= 3350 keV
150Nd 37.0 g Q= 3367 keV
Cu 621 g
48Ca 7.0 g Q= 4272 keV
natTe 491 g
130Te 454 g Q= 2529 keV
measurement
External bkg measurement
search
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NEMO-III - EventTypical 2 event of 100Mo
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100Mo results
(Data Feb. 2003 – Dec. 2004)
T1/2 = 7.11 0.02 (stat) 0.54 (syst) 1018 y
7.37 kg.y
Cos()
Angular Distribution
219 000 events6914 g
389 daysS/B = 40
NEMO-3
100Mo
E1 + E2 (keV)
Sum Energy Spectrum
219 000 events6914 g
389 daysS/B = 40
NEMO-3
100Mo
Background subtracted
• Data22 Monte Carlo
• Data22 Monte CarloBackground subtracted
Idea: SuperNEMO (100 kg)
T1/2 > 5.8 x 1023 yrs (90%
CL) R. Arnold et al, PRL 95 (2005)
m < 0.6 - 2.8 eV2:
0:
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SuperNEMO
Top view Side view
5 m
1 m 4 m
sourcetracker
calorimeter
Idea: Use 100 kg enriched 82Se
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COBRA
Use large amount of CdZnTe Semiconductor Detectors
Array of 1cm3
CdTe detectors
K. Zuber, Phys. Lett. B 519,1 (2001)
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Isotopes
Zn70 0.62 1001 ß-ß-Cd114 28.7 534 ß-ß-Cd116 7.5 2809 ß-ß-Te128 31.7 868 ß-ß-Te130 33.8 2529 ß-ß-Zn64 48.6 1096 ß+/ECCd106 1.21 2771 ß+ß+Cd108 0.9 231 EC/ECTe120 0.1 1722 ß+/EC
nat. ab. (%) Q (keV) Decay mode
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Advantages
• Source = detector
• Semiconductor (Good energy resolution, clean)
• Room temperature (safety)
• Tracking („Solid state TPC“)
• Modular design (Coincidences)
• Industrial development of CdTe detectors
• Two isotopes at once
• 116Cd above 2.614 MeV
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2 - decay
F 8Q(E /Q)6
me
3.7*10 10
S. Elliott, P. Vogel, Ann. Rev. Nucl. Part. Sci. 2002
Energy resolution extremely important check whether people use FWHM or (there is a factor 2.35 difference)
Fraction of 2 in 0 peak:
Signal/Background:
4331
02/1
22/1
T
T
FB
S
yrsT 1922/1 102.3
yrsT 2602/1 102
2 is ultimate, irreducible background
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The first layer
Installed at LNGS about three month ago
4x4x4 detector array = 0.42 kg CdZnTe semiconductors
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The solid state TPCEnergy resolution Tracking
Pixellated CdZnTe detectors
• Massive backgroundReduction (Particle-ID)• Positive signal information
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Pixellisation - I• Particle ID possible, 200m pixels (example simulations):
• eg. Could achieve nearly 100% identification of 214Bi events (214Bi 214Po 210Pb)
.
00
1-1.5mm1-1.5mm
~15~15mm
3 MeV 3 MeV
7.7MeV life-time = 164.3s
Beta withendpoint 3.3MeV
= 1 pixel, and = several connected pixel, = some disconnected p.
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Pixellated detectors
3D - Pixelisation:
Solid state TPC
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Nobody said it was going to be easy, and nobody was right
George W. Bush
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Contents
Lecture 1
• General introduction
• What is measured in DBD ?
• Neutrino oscillations and DBD
• Other BSM physics and DBD
• Nuclear matrix elements
Lecture 2
• Experimental considerations
• Current status of experiments
• Future activities
• Outlook and summary
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Back of the envelope
1/2 = ln2 • a • NA• M • t / N (T) ( Background free)
50 meV implies half-life measurements of 1026-27 yrs
1 event/yr you need 1026-27 source atoms
This is about 1000 moles of isotope, implying 100 kg
Now you only can loose: nat. abundance, efficiency, background, ...
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Future projects, ideas
small scale ones will expand, very likely not a complete list...
Status 2006
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Future - Ge approachesMAJORANA
GERDA
500 kg of enrichedGe detectors
Segmentation and pulse shape discrimination
Naked enriched Ge-crystals inLAr with lead shield
20 kg enriched Ge-detectorsat hand (former HD-MO andIGEX), 35 kg enriched bought
MERGE
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EXOTracking and scintillation
136136Xe Xe 136136BaBa++++ e e-- e e- - final final state can be identified state can be identified
using optical spectroscopy using optical spectroscopy (M.Moe PRC44 (1991) 931)(M.Moe PRC44 (1991) 931)
200 kg enriched Xe prototype under construction at WIPP
New feature:
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Summary
To account for matrix element uncertainties and todisentangle the physics mechanism we need at least 3(4) isotopes measured
Double beta decay is the gold plated channel to probethe fundamental character of neutrinos
Taking current evidences from oscillation data it islikely to be the only way to fix the absolute neutrino mass
However, there is a hotly discussed evidence by the Heidelberg group, which would imply almost degenerateneutrinos
To go below 50 meV requires hundreds of kilograms ofenriched material
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Hope....
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Particle particle coupling gpp1+ states contribution very sensitive to gpp (2)
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Fixing gpp
Some tension in fixing to observed half-lives or ft-values116Cd 116In 116Sn
SSD
ft-value supports gpp = 0.85
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ft-values
Some existing data not that good, if available at all new measurements at TRIUMF using ion traps