Constrained Neutrino Mass Matrix and Majorana Phases

TL;DR

This paper constrains the neutrino mass matrix using phenomenological and symmetry-based approaches, predicting Majorana phases and oscillation parameters through model-independent textures.

Contribution

It introduces fifty-three predictive neutrino mass matrix textures derived from simple linear relationships, employing general and exponential parametrizations, and explores their realization via specific symmetry groups.

Findings

Fifty-three predictive neutrino mass matrix textures identified.

Majorana phases predicted by the textures.

Some textures relate to specific symmetry groups like A4, Δ(27), T7.

Abstract

We endeavor to constrain the neutrino mass matrix on the phenomenological ground and procure model-independent textures by emphasizing on the simple linear relationships among the mass matrix elements. These simple textures predict the two Majorana phases. In this regard, two types of parametrization of neutrino mass matrix: general and exponential are employed. We obtain fifty-three predictive neutrino mass matrix textures, out of which twenty-eight are associated with the general parametrization, and the rest belong to the exponential one. Apart from Type-A/P textures, the rest deal with the prediction of a few other oscillation parameters as well. We try to realize the proposed textures in the light of $A_4$, $\Delta\,(27)$ and $T_7$ symmetry groups.