Bilinear R-parity violating SUSY: neutrinoless double beta decay in the light of solar and atmospheric neutrino data

Neutrinoless double beta (beta beta(0v)) decay is considered within bilinea r R-parity breaking supersymmetry, including the full one-loop corrections to the neutrino-neutralino mass matrix. Expected rates for beta beta(0v) de cay in this model are discussed in light of recent atmospheric and solar ne utrino data. We conclude that (a) tree-level calculations for beta beta(0v) decay within the bilinear model are not reliable in the range of parameter s preferred by current solar and atmospheric neutrino problems. And (b) if the solar and atmospheric neutrino problems are to be solved within bilinea r R-parity violating SUSY the expected rates for beta beta(0v) decay are ve ry low; the effective Majorana neutrino mass at most 0.01 eV and typical va lues being one order of magnitude lower. Observing beta beta(0v) decay in t he next round of experiments therefore would rule out the bilinear R-parity violating supersymmetric model as an explanation for solar and atmospheric neutrino oscillations, as well as any hierarchical scheme for neutrino mas ses, unless new neutrino interactions are present. (C) 2000 Elsevier Scienc e B.V. All rights reserved.