A unique Neutrino Mass Matrix Texture under Exponential Parametrization

TL;DR

This paper introduces a unique neutrino mass matrix texture using exponential parametrization, consistent with experimental data, and develops a specific model based on a particular symmetry group within the seesaw framework.

Contribution

It proposes a novel, unique neutrino mass matrix texture with specific correlations, supported by a concrete theoretical model.

Findings

The proposed texture aligns with experimental neutrino mixing data.

A detailed model based on $SU(2)_L imes U(1)_Y imes A_4 imes Z_{10} imes Z_7$ is constructed.

The texture exhibits four specific correlations among its elements.

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