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

Neutrinoless double beta (ββ0ν) decay is considered within bilinear R-parity breaking supersymmetry, including the full one-loop corrections to the neutrino-neutralino mass matrix. Expected rates for ββ0ν decay in this model are discussed in light of recent atmospheric and solar neutrino data. We conclude that (a) tree-level calculations for ββ0ν decay within the bilinear model are not reliable in the range of parameters preferred by current solar and atmospheric neutrino problems. And (b) if the solar and atmospheric neutrino problems are to be solved within bilinear R-parity violating SUSY the expected rates for ββ0ν decay are very low; the effective Majorana neutrino mass at most 0.01 eV and typical values being one order of magnitude lower. Observing ββ0ν decay in the 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 masses, unless new neutrino interactions are present.