A unique Neutrino Mass Matrix Texture under Exponential Parametrization

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 $SU(2)_L \times U(1)_Y \times A_4 \times Z_{10} \times Z_7$ group within the framework of the seesaw mechanism.