Neutrino mass matrices with one texture equality and one vanishing neutrino mass

摘要

In the light of latest data of neutrino oscillation experiments, we carry out a systematic investigation on the texture structures of Majorana neutrino mass matrix Mν, which contain one vanishing neutrino mass and an equality between two matrix elements. Among 15 logically possible patterns, it is found that for norm order (m_3 > m_2 > m_1= 0) of neutrino masses only three of them are compatible with recent experimental data at the 3σ level, while for inverted order (m_2 > m_1 > m_3= 0) two patterns is phenomenologically allowed. In the numerical analysis, we perform a scan over the parameter space of all viable patterns to get a large sample of scattering points. We present the implications of each allowed pattern for three mixing angles (θ_(12), θ_2, θ_3), leptonic CP violation and neutrinoless double-beta decay, predicting strong correlations between oscillation parameters. The theoretical realization of a concrete example is discussed in the framework of Froggatt-Nielsen mechanism.