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NEUTRINOLESS DOUBLE BETA DECAY ANGULAR CORRELATION AND NEW PHYSICS Dmitry Zhuridov Particles and Fields Journal club Department of Physics National Tsing.

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Presentation on theme: "NEUTRINOLESS DOUBLE BETA DECAY ANGULAR CORRELATION AND NEW PHYSICS Dmitry Zhuridov Particles and Fields Journal club Department of Physics National Tsing."— Presentation transcript:

1 NEUTRINOLESS DOUBLE BETA DECAY ANGULAR CORRELATION AND 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

2 2007/11/06High Energy Physics Journal club2 The talk is based mostly on the paper: Probing new physics in the neutrinoless double beta decay using electron angular correlation. A. Ali (DESY), A.V. Borisov, D.V. Zhuridov (Moscow State U.). A. AliDESYA.V. BorisovD.V. ZhuridovMoscow State U. DESY-07-097, Jun 2007. 36pp. e-Print: arXiv:0706.4165 [hep-ph] (to appear in Phyical Review D)

3 2007/11/06High Energy Physics Journal club3 Popularity 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

4 2007/11/06High Energy Physics Journal club4 Contents Introduction Neutrinoless Double Beta Decay Angular Correlation in Long-Range Mechanism Analysis of the Angular Correlation Conclusion

5 2007/11/06High Energy Physics Journal club5Introduction SNO, Super-Kamiokande, KamLAND – ν oscillations Neutrinos have non-zero masses and they mix with each other Bounds on the neutrino masses:

6 2007/11/06High Energy Physics Journal club6 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

7 2007/11/06High Energy Physics Journal club7 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:

8 2007/11/06High Energy Physics Journal club8 See-saw mechanism

9 2007/11/06High Energy Physics Journal club9 n n p p Lepton number is changed by 2 units. 0 2  decay is forbidden in the SM. Extended version of the SM could contain tiny nonrenormalizable terms that violate LN and allow 0 2  decay. Neutrinoless Double Beta Decay

10 2007/11/06High Energy Physics Journal club10 Two possible classes of mechanisms for the 0 2  decay: Long range Short range (with the light s in the intermediate state) Probable mechanisms of LN violation may include exchanges by: Majorana neutrinos Scalar bilinears, e.g. doubly charged dileptons SUSY particles Leptoquarks Right-handed W_R bosons etc. d d u u d d u u

11 2007/11/06High Energy Physics Journal club11 According to the Schechter-Valle theorem, any mechanism inducing the 0 2  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 0 2  decays using the information on the angular correlation of the final electrons. dd uu ee

12 2007/11/06High Energy Physics Journal club12 Angular Distribution in Long-Range Mechanism Most general Lorentz invariant effective Lagrangian for the long-range mechanism of 0ν2β decay is:

13 2007/11/06High Energy Physics Journal club13 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

14 2007/11/06High Energy Physics Journal club14

15 2007/11/06High Energy Physics Journal club15 Expressions for A for one ∈, considered at a time

16 2007/11/06High Energy Physics Journal club16 Expressions for B for one ∈ at a time

17 2007/11/06High Energy Physics Journal club17

18 2007/11/06High Energy Physics Journal club18

19 2007/11/06High Energy Physics Journal club19 Analysis of the Electron Angular Correlation 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 angular correlation coefficient K for various SM extensions for decays of :

20 2007/11/06High Energy Physics Journal club20 Constraints on the couplings of the effective LQ-quark-lepton interactions: Particular cases for the parameter space:

21 2007/11/06High Energy Physics Journal club21

22 2007/11/06High Energy Physics Journal club22 1a 1b 2a 2b

23 2007/11/06High Energy Physics Journal club23 Angular correlation in left-right symmetric models

24 2007/11/06High Energy Physics Journal club24 10^3 * ς

25 2007/11/06High Energy Physics Journal club25

26 2007/11/06High Energy Physics Journal club26 Conclusion We have presented a detailed study of the electron angular correlation for the long range mechanism of 0 2  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 0 2  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.

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