A unique Neutrino Mass Matrix Texture under Exponential Parametrization

Abstract

Under the exponential parametrization scheme $m^{\hat{I}}{½}_{ij}\sim r{e}^{i\hat{I}¸}$, we propose a \emph{unique} neutrino mass matrix texture that exhibits four correlations among its elements. The mixing scheme obtained from the proposed texture is consistent with experimental observations. We construct a concrete model based on the $SU(2{)}_L\times U(1{)}_Y\times A_4\times Z_{10}\times Z_7$ group within the framework of the seesaw mechanism.