One vanishing minor in the neutrino mass matrix

TL;DR

This paper investigates neutrino mass matrix textures with one zero $2\times 2$ subdeterminant, analyzing their compatibility with experimental data and providing symmetry realizations for all models.

Contribution

It offers a comprehensive phenomenological analysis of six possible textures with one zero subdeterminant and presents symmetry models for each case.

Findings

All six textures can fit experimental data.

Three textures allow for non-invertible mass matrices.

Symmetry realizations are provided for each model.

Abstract

We study a specific texture of the neutrino mass matrix, namely the models with one $2\times 2$ subdeterminant equal to zero. We carry out a complete phenomenological analysis with all possible relevant correlations. Every pattern of the six possible ones is found able to accommodate the experimental data, with three cases allowing also for non-invertible mass matrices. We present symmetry realizations for all the models.