Texture Zeros and WB Transformations in the Quark Sector of the Standard Model

TL;DR

This paper develops an analytical method to identify and analyze texture zeros in quark mass matrices within the Standard Model, showing that certain models are consistent with experimental data while others are not.

Contribution

It introduces a systematic approach to find equivalent quark mass matrices via weak basis transformations and evaluates the viability of texture zero models.

Findings

Some five-texture zeros models agree with experimental data.

Six-texture zeros Hermitian models are ruled out.

The number of non-equivalent quark mass matrix representations is finite.

Abstract

Stimulated by the recent attention given to the texture zeros found in the quark mass matrices sector of the Standard Model, an analytical method for identifying (or to exclude) texture zeros models will be implemented here, starting from arbitrary quark mass matrices and making a suitable weak basis transformation, we are be able to find equivalent quark mass matrix. It is shown that the number of non-equivalent quark mass matrix representations is finite. We give exact numerical results for parallel and non-parallel four-texture zeros models. We find that some five-texture zeros Ans$\ddot{\textrm{a}}$tze are in agreement with all present experimental data. And we confirm definitely that six-texture zeros of Hermitian quark mass matrices are not viable models anymore.