Neutrinoless double beta decay, Majonara neutrino masses and Neutrino Oscillations

摘要

We examine some pattern of Majorana neutrino mass matrix which is compatible with the phenomenological lepton flavor mixing matrix and non-observation of neutrinoless double beta decay. Imposing (M_ν)_(ee) = 0 for the Majorana neutrino mass matrix in the leading order, we obtain a relationship between the solar mixing angle and the neutrino masses m_1 and m_2. Additional possible texture zeros are assigned to the mass matrix so as for the nonvanishing θ_(13) to be predictable in terms of neutrino masses. We also show how three neutrino masses can be predicted from the solar mixing angle and the experimental results of Δm_(sol)~2 and Δm_(atm)~2 in this framework.