Two-zero textures of the Majorana neutrino mass matrix and current experimental tests

In view of the latest T2K and MINOS neutrino oscillation data which hint at a relatively large θ 13 , we perform a systematic study of the Majorana neutrino mass matrix M ν with two independent texture zeros. We show that three neutrino masses ( m 1 , m 2 , m 3 ) and three CP-violating phases ( δ , ρ , σ ) can fully be determined from two neutrino mass-squared differences ( δm 2 , ∆ m 2 ) and three flavor mixing angles ( θ 12 , θ 23 , θ 13 ). We find that seven patterns of M ν (i.e., A 1 , 2 , B 1 , 2 , 3 , 4 and C ) are compatible with current experimental data at the 3 σ level, but the parameter space of each pattern is more strictly constrained than before. We demonstrate that the texture zeros of M ν are stable against the one-loop quantum corrections, and there exists a permutation symmetry between Patterns A 1 and A 2 , B 1 and B 2 or B 3 and B 4 . Phenomenological implications of M ν on the neutrinoless double-beta decay and leptonic CP violation are discussed, and a realization of those texture zeros by means of the Z n flavor symmetries is illustrated.