Towards a superformula for neutrinoless double beta decay

Abstract

A general Lorentz--invariant parameterization for the long-range part of the $0\nu \beta \beta$ decay rate is derived. Combined with the short range part this general parameterization in terms of effective $B-L$ violating couplings will allow it to extract the $0\nu \beta \beta$ limits on arbitrary lepton number violating theories. Several new nuclear matrix elements appear in the general formalism compared to the standard neutrino mass mechanism. Some of these new matrix elements have never been considered before and are calculated within pn-QRPA. Using these, limits on lepton number violating parameters are derived from experimental data on ${}^{76}$Ge.

replaced by revised version to appear in Phys. Lett. B, discussion of nuclear matrix elements included

References in corpus (2)

• B-L-violating Masses in Softly Broken Supersymmetry
• R-parity Conserving Supersymmetry, Neutrino Mass and Neutrinoless Double Beta Decay

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