Zero minors of the neutrino mass matrix

TL;DR

This paper investigates neutrino mass matrices with two vanishing minors, demonstrating their compatibility with current data and providing formulas and models for their generation.

Contribution

It identifies seven viable textures with two vanishing minors that fit experimental data and shows they can be generated via the seesaw mechanism with a discrete symmetry.

Findings

Seven textures with two vanishing minors fit current neutrino data

Derived generic formulas for neutrino mass ratios and Majorana phases

All textures can be generated through a seesaw mechanism with a discrete symmetry

Abstract

We examine the possibility that a certain class of neutrino mass matrices, namely those with two independent vanishing minors in the flavor basis, regardless of being invertible or not, is sufficient to describe current data. We compute generic formulae for the ratios of the neutrino masses and for the Majorana phases. We find that seven textures with two vanishing minors can accommodate the experimental data. We present an estimate of the mass matrix for these patterns. All the possible textures can be dynamically generated through the seesaw mechanism augmented with a discrete Abelian symmetry.