Neutrino Mass Matrices with a Texture Zero and a Vanishing Minor

TL;DR

This paper investigates specific neutrino mass matrix textures with a zero element and a vanishing minor, analyzing their phenomenological implications and symmetry realizations within the seesaw mechanism.

Contribution

It identifies six viable texture structures with a zero and a vanishing minor, and explores their phenomenological and symmetry properties.

Findings

Six neutrino mass textures are compatible with current data.

All textures can be generated via the seesaw mechanism.

Symmetry realizations of these textures are provided.

Abstract

We study the implications of the simultaneous existence of a texture zero and a vanishing minor in the neutrino mass matrix. There are thirty six possible texture structures of this type, twenty one of which reduce to two texture zero cases which have, already, been extensively studied. Of the remaining fifteen textures only six are allowed by the current data. We examine the phenomenological implications of the allowed texture structures for Majorana type CP-violating phases, 1-3 mixing angle and Dirac type CP-violating phase. All these possible textures can be generated through the seesaw mechanism and realized in the framework of discrete abelian flavor symmetry. We present the symmetry realization of these texture structures.