Statistical comparison of quark mass matrices\\ in the physical basis

TL;DR

This paper performs a statistical comparison of three quark mass matrix models using experimental data, identifying the best fits and analyzing their stability across energy scales.

Contribution

It introduces a comprehensive statistical analysis comparing CGS, Fritzsch, and Gupta-Rajpoot quark mass matrices in the physical basis using experimental constraints.

Findings

Gupta-Rajpoot matrix provides the best fit with nine parameters.

CGS matrix yields the best fit with seven parameters.

Analysis shows stability of results with respect to quark mass evolution.

Abstract

Using the four best measured moduli of the flavor mixing matrix ($|V_{\rm ud}|$, $|V_{\rm us}|$, $|V_{\rm cd}|$, $|V_{\rm cs}|$), the Jarlskog invariant $J(V)$, and the quark masses at $M_Z$ energy scale as experimental constraints, a statistical comparison of three different types of quark mass matrices in the physical basis is performed. The mass matrices in question are the Chaturvedi-Gupta-S\'anchez-Col\'on (CGS), the Fritzsch and the Gupta-Rajpoot types. With nine parameters the best fits are obtained using a Gupta-Rajpoot type matrix while with seven parameters the best fits are obtained using the CGS type matrix. The stability of our analysis with respect to evolution of the quark masses is also presented.