Probing texture 4 zero quark mass matrices in the era of precision measurements

TL;DR

This paper analyzes hermitian texture 4 zero quark mass matrices in light of recent precise measurements, finding that only Fritzsch-like textures are consistent with current data and remaining robust against future variations.

Contribution

It identifies Fritzsch-like texture 4 zero matrices as the only viable form consistent with current quark mixing data, ruling out other configurations.

Findings

Only Fritzsch-like texture 4 zero matrices are viable.

Other texture 4 zero matrices are ruled out by data.

Results remain valid despite future perturbations in parameters.

Abstract

In pursuance of finding a viable set of mass matrices, keeping in mind recent precision measurement of quark masses and CKM parameters, we have carried out a detailed and comprehensive analysis of hermitian texture 4 zero quark mass matrices. Our analysis reveals that only Fritzsch like texture 4 zero combination provides a viable set of mass matrices for the present quark mixing data and all other texture 4 zero combinations are ruled out. A good number of these possibilities can be ruled out analytically, the other possibilities are excluded by the present quark mixing data. Interestingly, our conclusions remain valid, even if in future there are perturbations in the ranges of the light quark masses or CKM parameters.