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 outa systematic investigation on the texture structures of Majorana neutrino massmatrix $M_{\nu}$, which contain one vanishing neutrino mass and an equalitybetween two matrix elements. Among 15 logically possible patterns, it is foundthat for norm order ($m_{3}>m_{2}>m_{1}=0$) of neutrino masses only five ofthem are compatible with recent experimental data at the $3\sigma$ level, whilefor inverted order ($m_{2}>m_{1}>m_{3}=0$) ten patterns is phenomenologicallyallowed. In the numerical analysis, we perform a scan over the parameter spaceof all viable patterns to get a large sample of scattering points. We presentthe implications of each allowed pattern for three mixing angles$(\theta_{12},\theta_{2},\theta_{3})$, leptonic CP violation and neutrinolessdouble-beta decay, predicting strong correlations between oscillationparameters. The theoretical realization of a concrete example is discussed inthe framework of Froggatt-Nielsen mechanism.