Investigating the hybrid textures of neutrino mass matrix for near maximal atmospheric neutrino mixing

TL;DR

This paper explores how certain structured neutrino mass matrices, called hybrid and inverse hybrid textures, can predict near maximal atmospheric neutrino mixing, regardless of solar and reactor data, with implications for large Majorana neutrino masses.

Contribution

It identifies specific hybrid and inverse hybrid textures that predict near maximal atmospheric mixing, providing a comparative analysis at 3σ confidence level.

Findings

Four patterns predict near maximal atmospheric mixing.

This prediction holds for large Majorana neutrino masses.

The results are consistent across solar and reactor mixing angles.

Abstract

In the present paper, we have studied that the implication of a large value of the effective Majorana neutrino mass in case of neutrino mass matrices having either two equal elements and one zero element (popularly known as hybrid texture) or two equal cofactors and one zero minor (popularly known as inverse hybrid texture) in the flavor basis. In each of these cases, four out of sixty phenomenologically possible patterns predict near maximal atmospheric neutrino mixing angle in the limit of large effective Majorana neutrino mass. This feature remains irrespective of the experimental data on solar and reactor mixing angles. In addition, we have also performed the comparative study of all the viable cases of hybrid and inverse hybrid textures at 3$\sigma$ CL.