The One-zero Textures of Majorana Neutrino Mass Matrix and Current Experimental Tests

TL;DR

This paper systematically analyzes all one-zero textures of the Majorana neutrino mass matrix in light of recent experimental data, exploring their viability and symmetry realizations within seesaw mechanisms.

Contribution

It provides a comprehensive classification of one-zero neutrino mass textures and their compatibility with current data, including symmetry models for both singular and non-singular cases.

Findings

All six one-zero textures fit experimental data.

Five textures allow for non-invertible mass matrices.

Symmetry realizations are provided for all patterns.

Abstract

We carry out a complete and systematic study of all the possible one-zero textures for the neutrino mass matrix in light of the recent neutrino oscillation data which hint to a relatively large non-vanishing value for the smallest mixing angle ($\theta_z$). We find that all the six possible one-zero textures are able to accommodate the experimental data, with five cases allowing also for non-invertible mass matrices. We present symmetry realizations for all the one-zero singular and non-singular patterns in type-I and type-II seesaw mechanism schemes.