CKM mixings from mass matrices with five texture zeros

TL;DR

This paper identifies four viable quark mass matrix configurations with five texture zeros in the Standard Model that accurately reproduce experimental data, using an exhaustive weak basis transformation method.

Contribution

It introduces an efficient method to find texture zeros in quark mass matrices and identifies four configurations consistent with experimental data.

Findings

Four viable five-zero texture configurations found

Configurations match experimental quark masses and mixing angles within 1σ

Derived relations between mixing angles and quark masses

Abstract

In this work we carry out an exhaustive study to find quark mass matrices in the Standard Model~(SM), with the maximum number of texture zeros consistent with the experimental data. We found four viable configurations of five texture zeros that adjust the quark masses, the mixing angles and the CP violation phase, with deviations below $1\sigma$ level respect to the current SM best fit values. One of the most important aspects of this work is an economic procedure to find the texture zeros: we resort to the weak basis transformation method, which, as we will show, exhaustively search every possible configuration. We report various leading order relations between the mixing angles and the quark masses for each case.