Hybrid Textures of Majorana Neutrino Mass Matrix and Current Experimental Tests

Abstract

Motivated by recent measurements of a relatively large \theta_{13} in the Daya Bay and RENO reactor neutrino experiments, we carry out a systematic analysis of the hybrid textures of Majorana neutrino mass matrix $M_\nu$, which contain one texture zero and two equal nonzero matrix elements. We show that three neutrino masses (m_1, m_2, m_3) and three leptonic CP-violating phases (\delta, \rho, \sigma) can fully be determined from two neutrino mass-squared differences (\delta m^2, \Delta m^2) and three flavor mixing angles (\theta_{12}, \theta_{23}, \theta_{13}). Out of sixty logically possible patterns of $M_\nu$, thirty-nine are found to be compatible with current experimental data at the 3\sigma level. We demonstrate that the texture zero of $M_\nu$ is stable against one-loop quantum corrections, while the equality between two independent elements not. Phenomenological implications of $M_\nu$ for the neutrinoless double-beta decay and leptonic CP violation are discussed, and a realization of the texture zero and equality by means of discrete flavor symmetries is illustrated.