A unique Neutrino Mass Matrix Texture under Exponential Parametrization

Abstract: Under the exponential parametrization scheme $ m^{\nu}_{ij}\sim r e^{i \theta}$, 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 $SU(2)L \times U(1)_Y \times A_4 \times Z{10}$ group within the framework of the seesaw mechanism.