Neutrinoless double beta decay and effective field theory
We analyze neutrinoless double beta decay (0nubetabeta decay) mediated by heavy particles from the standpoint of effective field theory. We show how symmetries of the 0nubetabeta-decay quark operators arising in a given particle physics model determine the form of the corresponding effective, hadronic operators. We classify the latter according to their symmetry transformation properties as well as the order at which they appear in a derivative expansion. We apply this framework to several particle physics models, including R-parity violating supersymmetry (RPV SUSY) and the left-right symmetric model (LRSM) with mixing and a right-handed Majorana neutrino. We show that, in general, the pion exchange contributions to 0nubetabeta decay dominate over the short-range four-nucleon operators. This confirms previously published RPV SUSY results and allows us to derive new constraints on the masses in the LRSM. In particular, we show how a nonzero mixing angle zeta in the left-right symmetry model produces a new potentially dominant contribution to 0nubetabeta decay that substantially modifies previous limits on the masses of the right-handed neutrino and boson stemming from constraints from 0nubetabeta decay and vacuum stability requirements.
Additional Information© 2003 The American Physical Society (Received 24 March 2003; published 25 August 2003) We thank P. Bedaque, M. Butler, R. Mohapatra, and M. Savage for useful discussions. P.V. thanks Professor J. Hořejší for his hospitality at the Center for Particle and Nuclear Physics, Charles University, Prague, Czech Republic. This work was supported in part under Department of Energy contracts DE-FG02-00ER41146, DE-FG03-02ER41215, DE-FG03-88ER40397, and DE-FG03-00ER41132 and NSF grant PHY-0071856.
Published - PREprd03.pdf