Finding a unique texture for quark mass matrices

TL;DR

This paper identifies a unique set of texture 4 zero quark mass matrices within the Standard Model that effectively describe quark mixing data, using weak basis transformations and naturalness conditions.

Contribution

It demonstrates that a specific texture 4 zero quark mass matrix set is the only viable option consistent with experimental data.

Findings

A particular texture 4 zero quark mass matrix set is uniquely viable.

The analysis uses weak basis transformations and naturalness conditions.

This set accurately reproduces quark mixing data.

Abstract

Within the Standard Model, starting with the most general mass matrices we have used the facility of making weak basis transformations and have imposed the condition of `naturalness' to carry out their analysis within the texture zero approach. Interestingly, our analysis reveals that a particular set of texture 4 zero quark mass matrices can be considered to be a unique viable option for the description of quark mixing data.