neutrinoless double beta decay angular correlation and new physics dmitry zhuridov particles and...
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NEUTRINOLESS DOUBLE BETA NEUTRINOLESS DOUBLE BETA DECAYDECAY
ANGULAR CORRELATIONANGULAR CORRELATIONAND NEW PHYSICSAND NEW PHYSICS
NEUTRINOLESS DOUBLE BETA NEUTRINOLESS DOUBLE BETA DECAYDECAY
ANGULAR CORRELATIONANGULAR CORRELATIONAND NEW PHYSICSAND NEW PHYSICS
Dmitry Zhuridov
Particles and Fields Journal club
Department of Physics
National Tsing Hua University
Dmitry Zhuridov
Particles and Fields Journal club
Department of Physics
National Tsing Hua University
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2007/11/06 High Energy Physics Journal club 2
The talk is based mostly on the paper:
Probing new physics in the neutrinoless double beta decayusing electron angular correlation.A. Ali (DESY) , A.V. Borisov, D.V. Zhuridov (Moscow State U.) . DESY-07-097, Jun 2007. 36pp. e-Print: arXiv:0706.4165 [hep-ph] (to appear in Phyical Review D)
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2007/11/06 High Energy Physics Journal club 3
Popularity of the themePopularity of the theme
M. Doi, T. Kotani, E. Takasugi, Prog.Theor.Phys.Suppl.83 (1985) 329 T. Tomoda, Rep.Prog.Phys.54 (1991) 133 S.L. Adler et al., Phys.Rev.D11 (1975) 74 H. Pas, M. Hirsch, H.V. Klapdor-Kleingrothaus, S.G. Kovalenko, Phys.Lett.B453
(1999) 26
SPIRES-HEP: FIND TITLE NEUTRINOLESS DOUBLE BETA DECAY 470 FIND K NEUTRINOLESS DOUBLE BETA DECAY 476
E-print arXiv: Abstract: NEUTRINOLESS DOUBLE BETA DECAY 1991-1995 29 1996-2000 139 2001-2005 251 2006-p.t. 87
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2007/11/06 High Energy Physics Journal club 4
ContentsContents
Introduction Neutrinoless Double Beta Decay Angular Correlation in Long-Range Mechanism Analysis of the Angular Correlation Conclusion
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2007/11/06 High Energy Physics Journal club 5
IntroductionIntroduction
2 2 2 0ij i j
m m m SNO, Super-Kamiokande, KamLAND – ν oscillations
Neutrinos have non-zero masses and they mix with each other
Bounds on the neutrino masses:2 2 5 2212 2 3 231
7.9 10
2.3 10sol
atm
m m эВ
m m эВ
1, 30.75 0.25 ( )i ii
im эВ m эВ
1/ 22 2
12.05eff eff
ei ie ei
m U m эВ m m
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2007/11/06 High Energy Physics Journal club 6
Dirac field can be constructed from two Majorana fields
Dirac field has additional freedom of phase trasformation
It is largely anticipated that the neutrinos are Majorana particles:
Correspondence between Dirac and Majoana fields
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2007/11/06 High Energy Physics Journal club 7
Other possible mechanisms
How to induce small neutrino masses?
Model with scalar triplet: Model with right-handed neutrino and scalar singlet:
In Zee model (with charged scalar singlet and additional scalar doublets) Majorana neutrino masses arise at one loop level;
In models with doubly charged scalar singlet Majorana neutrino masses arise at two loop level;
Models with effective nonrenormalizable term in Lagrangian:
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2007/11/06 High Energy Physics Journal club 8
See-saw mechanism
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2007/11/06 High Energy Physics Journal club 9
( ) ( 2) 2A Z A Z e
{ n
n }pp
e
e
( )A Z ( 2)A Z
Lepton number is changed by 2 units.02 decay is forbidden in the SM.
Extended version of the SM could contain tiny nonrenormalizable terms that violate LN and allow 02 decay.
0 2 decay
Neutrinoless Double Beta DecayNeutrinoless Double Beta Decay
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2007/11/06 High Energy Physics Journal club 10
Two possible classes of mechanisms for the 02 decay:
Long range Short range(with the light s in the intermediate state)
Probable mechanisms of LN violation may include exchanges by:
Majorana neutrinosScalar bilinears, e.g. doubly charged dileptons SUSY particlesLeptoquarksRight-handed W_R bosons etc.
d
d
u
u
e
e
d
d
uu
e
e
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2007/11/06 High Energy Physics Journal club 11
According to the Schechter-Valle theorem, any mechanism inducing the 02 decay produces an effective Majorana mass for the neutrino, which must therefore contribute to this decay.
Purpose: to examine the possibility to discriminate among the various possible mechanisms contributing to the 02 decays using
the information on the angular correlation of the final electrons.
dd
u ue e
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2007/11/06 High Energy Physics Journal club 12
Angular Distribution in Long-Range Angular Distribution in Long-Range MechanismMechanism
Most general Lorentz invariant effective Lagrangian for the long-range mechanism of 0ν2β decay is:
L,R
& are leptonic & hadronic currents of definite tensor structure
and chirality; , =V A, S P, T ; is PMNS mixing matrix;
encode new physics.
ei
i
j J
U
' ', 0 2 2 , , ,
V A currents (Doi M., Kotani T., Takasugi E. (1985))
, , , .V A i V A V A V AV VV A i l V A i ei V A i ei V A i eiei
V V
g ge U V U V V
g g
1 1 1 1 *, ( ) , ( ) , ( ) ( )
1 *, ( )
1 1
2 4
1
8
(Hirsch M., Klapdor H.V., Kovalenko S.G. (1996))
, 2 , 4 ,
.R
R
M
V A n S P n S P n nV A i q RR ni S P i LL ni S P i q LR LR ni
T nT i q LR ni
RPV MSSM
U U U
U
( ) ( ) ( ) ( )
2 2 2 2- 2 22 2 21
2 4 4 4, , , .
Model with LQ (Hirsch M., Klapdor-Kleingrothaus H.V., Kovalenko S.G. (1996))
L L R RS V S VV A V A S P S PV S
V A V A S P S PS V S VF F F FV S
M M M MG G G GM M
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2007/11/06 High Energy Physics Journal club 13
Approximations:• leading order in the Fermi constant • leading contribution of the parameters \epsilon• relativistic electrons and non-relativistic nucleons • S_{1/2} and P_{1/2} waves for the outgoing electrons
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2007/11/06 High Energy Physics Journal club 14
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2007/11/06 High Energy Physics Journal club 15
Expressions for Expressions for AA for one for one ∈, considered at a time∈, considered at a time
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2007/11/06 High Energy Physics Journal club 16
Expressions for Expressions for BB for one for one ∈ at a time∈ at a time
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2007/11/06 High Energy Physics Journal club 17
, ,
2
, , ,
01
, , with effective Majorana masses: m ,
, , ;
cos , with the relative phases: arg
In these tables:
L L
L R L R
ei iie e
T TS P S P V A V AS P ei S P i i V A ei V A i i T ei T i i
i i i
i i
m mU m
m m
m U m m U m m U m
c
* *1
2 2
0 1 0 1
, arg ...
, .
V A V AV A V A
C D
A B
( , ) ( , )
( , ) ( , )0 0 0 0
The quantities , , and are expressed through
the intergated phase space factors , , , and
the combinations of nuclear parameters.
SP T SP Ti i i i
SP T SP Tk k k k
C C D D
A A B B
The expressions associated with the coefficients confirm the results
of Doi et al. (1985), while the expressions associated with the other
coefficients transcend the earlier work.
V AV A
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2007/11/06 High Energy Physics Journal club 18
-15 -1
+ 76
The integrated kinematic - and -factors [in 10 yr ]
for the 0 0 transition of the 0 2 decay of Ge.
A B
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2007/11/06 High Energy Physics Journal club 19
AnalysiAnalysiss of of the Ethe Electron lectron AAngular ngular CCorrelationorrelation
If the ``nonstandard" effects, are zero then K = B01/A01. Its values are given in the Table for various decaying nuclei of current experimental interest:
-The presence of the ``nonstandard" parameters , , or
does not change significantly the form of the angular correlation.
The presence of the ``nonstandard" parameters ,
L R
R L
T TV A S PV A S P T T
V AV A
, or
does change this correlation.
L R
L R
T TS PS P T T
The angular correlation coefficient K for various SM extensions for decays of :
76 Ge.
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2007/11/06 High Energy Physics Journal club 20
Constraints on the couplings of the effective LQ-quark-lepton interactions:
Particular cases for the parameter space:
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2007/11/06 High Energy Physics Journal club 21
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22High Energy Physics Journal club2007/11/06
1a 1b
2a 2b
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2007/11/06 High Energy Physics Journal club 23
Angular correlation in left-right symmetric modelsAngular correlation in left-right symmetric models
LWFor the model (2) (2) (1) using the condition m :
, arctan / , with = .
R
R L
L R W
V AW W V A ei eiV A
V A
SU SU U m
m m U V
1
6 -7Using 80.4 GeV for the values 10 , 5 10
we have got the correlation shown in Figs 3, 4.LW Wm m
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24High Energy Physics Journal club2007/11/06
10^3*ς
-6
-7
Figs 3a, 3b.
=10
Figs 4a, 4b.
=5 10
10^3*ς
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25High Energy Physics Journal club2007/11/06
-6
Experiments in the 0 2 decay would measure / and .
Experiments at the Tevatron and the LHC can measure / .
Differential width vs. cos for =10 :
L R
L R
W W ei ei
W W
m m U V
m m
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2007/11/06 High Energy Physics Journal club 26
ConclusionConclusion We have presented a detailed study of the electron
angular correlation for the long range mechanism of 02 decays in a general theoretical context. This information, together with the ability of observing these decays in several nuclei, would help greatly in identifying the dominant mechanism underlying these decays.
The running experimental facility that in principle can measure the electron angular correlation in the 02 decay NEMO3 possibly has no the sufficient sensitivity. The proposed facilities are SuperNEMO, MOON and EXO. We have argued that there is a strong case in building at least one of them.