Neutrino Mass Matrices With One Texture Equality And One Vanishing Neutrino Mass

The phenomenon of neutrino oscillation shows that the neutrino has a non-zero mass.The data obtained from neutrino experiments can not completely determine the absolute mass of the neutrino.We can construct a special structure of texture zeros through the flavor symmetry theory for obtaining neutrino quality information.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,which contain one vanishing neutrino mass and an equality between two matrix elements.Among 15 logically possible patterns and each pattern of mass,the a set of random number inputs are generated for the three mixing angles(?₁₂,?₂₃,?₁₃)and the neutrino mass square differences??m²,?m²?in their 3? range.It is found that for norm order?m₃?m₂?m₁=0?of neutrino masses only three of them are compatible with recent experimental data at the 3slevel,while for inverted order?m₂?m₁?m₃=0?two patterns is phenomenologically allowed.In numerical analysis,we scatter the parameter space for all viable patterns to get a scattering point for a large sample.There oscillation parameters is a strong correlation by the mixing angle(?₁₂,?₂₃,?₁₃),leptonic CP violation and neutrinoless double-beta decay of each mode.We have summarized the main results in the numerical part and all the viable patterns admit a large Dirac CP.