Abstract

Neutrinoless double beta ( ββ 0 ν ) decay violates lepton number; its absence stringently constrains the parameters of theories beyond the standard model in which the neutrino has a Majorana mass. R-parity violating weak-scale supersymmetry is a prominent example of such models. Double beta decay in supersymmetry with explicit bilinear R-parity breaking is discussed and current limits on the ββ 0 ν decay half life of 76Ge are used to extract upper bounds on the R-parity breaking parameters of the first generation. Moreover, it is shown that the effective Majorana neutrino mass, measured in ββ 0 ν decay, is non-zer once the loop corrections are taken into account even for the case of perfect alignment ( Λ i := (〈 ν i 〉 μ − ν 1 ϵ i )  0) among the R-parity violating parameters.

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