Exploring the parameter space of texture 4 zero quark mass matrices

TL;DR

This paper investigates the parameter space of texture 4 zero Hermitian quark mass matrices, exploring weak and strong hierarchies, and finds that non-zero phases are essential for compatibility with recent quark mixing data.

Contribution

It extends the analysis of quark mass matrices to include weak hierarchy cases and highlights the necessity of non-zero phases for data compatibility.

Findings

Weak hierarchical matrices can reproduce observed mixing angles.

Non-zero phases are required for compatibility with data.

Separate analysis for different V_ub values.

Abstract

We have attempted to extend the parameter space of the elements of the texture 4 zero Hermitian quark mass matrices, to include the case of `weak hierarchy' amongst them along with the usually considered `strong hierarchy' case. This has been carried out by giving wide variation to the hierarchy defining parameters D_U and D_D, having implications for the structural features of the mass matrices. We find that not only the weakly hierarchical mass matrices are able to reproduce the strongly hierarchical mixing angles but also both the phases having their origin in the mass matrices have to be non zero to achieve compatibility of these matrices with recent quark mixing data. Further noting the difference between the exclusive and inclusive values of V_ub, we have carried out separate analyses corresponding to these.