Neutrino Mixing from a Fresh Perspective

TL;DR

This paper introduces a new neutrino mass matrix texture with specific correlations, analyzes its phenomenological implications for different hierarchies, and connects it to underlying symmetries via the seesaw mechanism.

Contribution

It proposes a novel neutrino mass matrix texture with specific correlations and explores its phenomenological and theoretical foundations.

Findings

Bounds on observational parameters for both hierarchies

Predictions for effective Majorana neutrino mass

Connection to underlying flavor symmetries

Abstract

We propose a neutrino mass matrix texture bearing a suitable correlation $m_{22}=-2\,m_{13}$ and study its phenomenological implications. In light of both normal and inverted hierarchies, the texture imposes specific bounds on some observational parameters. As a potential application, the prediction of effective Majorana neutrino mass $m_{\beta\beta}$ is visualized for both hierarchies. To understand the proposed texture from the first principle, we incorporate the type-I+II seesaw mechanism in association with $A_4 \times Z_{10} \times Z_2$ group.