New possibilities of hybrid texture of neutrino mass matrix

TL;DR

This paper explores new hybrid textures of the light neutrino mass matrix, combining vanishing minors or elements with equalities, and identifies viable configurations consistent with current experimental data.

Contribution

It introduces novel hybrid texture structures of the neutrino mass matrix and systematically analyzes their phenomenological viability.

Findings

56 viable textures with vanishing minors and equal elements

50 viable textures with vanishing elements and equal cofactors

Detailed numerical analysis of all cases

Abstract

In this paper, we investigate the noval possibilities of hybrid textures comprising a vanishing minor (or element) and two equal elements (or cofactors) in light neutrino mass matrix $M_{\nu}$. Such type of texture structures lead to sixty phenomenological cases each, out of which only fifty six are viable with texture containing a vanishing minor and an equality between the elements in $M_{\nu}$, while fifty are found to be viable with texture containing a vanishing element and an equality of cofactors in $M_{\nu}$ under the current experimental test at 3$\sigma$ confidence level. Detailed numerical analysis of all the possible cases have been presented.