The SNO Solar Neutrino Data, Neutrinoless Double Beta-Decay and Neutrino Mass Spectrum

Abstract

Assuming 3 neutrino mixing and massive Majorana neutrinos, we analyze the implications of the results of the solar neutrino experiments, including the latest SNO data, which favor the LMA MSW solution of the solar neutrino problem with \tan^2 θ_sol < 1, for the predictions of the effective Majorana mass |<m>| in neutrinoless double beta decay. For \cos (2 θ_sol) \geq 0.26, which follows from the analysis of the new solar neutrino data, we find significant lower limits on |<m>| in the cases of quasi-degenerate and inverted hierarchy neutrino mass spectrum, |<m>| \geq 0.035 eV and |<m>| \geq 8.5 10^-3 eV, respectively. If the spectrum is hierarchical the upper limit holds |<m>| \leq 8.2 10^-3 eV. Correspondingly, not only a measured value of |<m>| \neq 0, but even an experimental upper limit on |<m>| of the order of few 10^-2 eV can provide information on the type of the neutrino mass spectrum; it can provide also a significant upper limit on the mass of the lightest neutrino m1. A measured value of |<m>| \geq 0.2 eV, combined with data on neutrino masses from the tritium beta-decay experiment KATRIN might allow to establish whether the CP-symmetry is violated in the lepton sector.

15 pages, Latex; 12 pages of text, 3 ps-figures; results and conclusions unchanged, comments added on the stability of our results with respect to the uncertainties in the relevant nuclear matrix elements

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