A complete survey of texture zeros in general and symmetric quark mass matrices

TL;DR

This paper systematically analyzes texture zeros in general and symmetric quark mass matrices, identifying the most restrictive viable textures and evaluating their predictive power using a new measure.

Contribution

It provides a comprehensive survey of texture zeros in quark mass matrices and assesses their predictivity, highlighting the difference between general and symmetric cases.

Findings

No predictive textures in general quark mass matrices.

Most symmetric textures are predictive for light quark masses.

Identifies maximally restrictive viable textures in both cases.

Abstract

We perform a systematic analysis of all possible texture zeros in general and symmetric quark mass matrices. Using the values of masses and mixing parameters at the electroweak scale, we identify for both cases the maximally restrictive viable textures. Furthermore, we investigate the predictive power of these textures by applying a numerical predictivity measure recently defined by us. With this measure we find no predictive textures among the viable general quark mass matrices, while in the case of symmetric quark mass matrices most of the 15 maximally restrictive textures are predictive with respect to one or more light quark masses.