The Triadic Texture: Neutrino Predictions, Viable Vacuum, and Phenomenological Constraints

TL;DR

This paper proposes a minimal neutrino mass matrix texture within a specific theoretical framework, predicting neutrino properties and constraining phenomenological aspects like lepton flavor violation.

Contribution

It introduces a novel neutrino mass texture compatible with a Type-I seesaw and extended symmetry, providing specific predictions and phenomenological constraints.

Findings

Favours normal hierarchy of neutrino masses

Predicts the octant of θ23 and constrains δ

Limits on neutrino mass eigenvalues and Majorana phases

Abstract

A minimal and predictive neutrino mass matrix texture for Majorana neutrino is proposed. The texture favours the normal hierarchy of neutrino mass eigenvalues. It further predicts the octant of $\theta_{23}$, constraints $\delta$, gives bounds on neutrino mass eigenvalues and also gives ranges for the two Majorana phases.The texture is realised in the framework of a Type-I seesaw and a Weinberg like dimension 6 operator under an extended symmetry of $SU(2)_L \otimes U(1)_Y \otimes A_4 \otimes Z_{10} \otimes Z_7 \otimes Z_5 \otimes Z_3$. The texture can be realised with different sets of vacuum expectation values of the associated scalar fields, but not all such sets lead to a viable scalar sector. The model also constrains the allowed channels of charged lepton flavour violation and leads to a suppressed baryon asymmetry generation through conventional leptogenesis.