A new texture of neutrino mass matrix with three constraints

TL;DR

This paper proposes a novel neutrino mass matrix texture with three complex constraints, predicting a near-maximal atmospheric mixing angle and demonstrating its realization via non-Abelian flavor symmetry within a seesaw framework.

Contribution

It introduces a new neutrino mass matrix texture with specific complex relations and shows how to realize it using $A_4$ symmetry in a combined type-I+II seesaw model.

Findings

Atmospheric neutrino mixing angle predicted near 45°

Neutrino mass matrix with three complex relations

Realization using $A_4$ flavor symmetry

Abstract

We present a new texture of neutrino mass matrix having three complex relations among its elements and study in detail the phenomenological implications. A characteristic feature of the resulting neutrino mass matrix is that the atmospheric neutrino mixing angle is predicted to lie in a very narrow region near $45^{\circ}$. We illustrate how such a form of the neutrino mass matrix can be realized using the non-Abelian flavor symmetry $A_4$ in the framework of type-I+II seesaw mechanism.