Implications of CP asymmetry parameter sin2beta on structural features of texture specific mass matrices

TL;DR

This paper derives an exact formula for sin2β in the context of Fritzsch-like texture 4 zero Hermitian quark mass matrices, linking it explicitly to quark masses and matrix elements, and explores implications for mass matrix structures.

Contribution

It provides a new exact formula for sin2β that improves upon previous approximations, revealing detailed dependencies on quark masses and matrix elements.

Findings

The exact formula aligns with current sin2β and CKM data.

Structural features of mass matrices are constrained by the formula.

Compatibility of texture 4 zero matrices with experimental parameters is confirmed.

Abstract

In the context of Fritzsch-like texture 4 zero Hermitian quark mass matrices, we have attempted to find an `exact' formula for sin2\beta wherein the dependence of \beta on the quark masses and the elements of the quark mass matrices is visible in a simple and clear manner. This has been achieved keeping in mind the strong hierarchy of the quark masses and assuming the weak hierarchy amongst the elements of the mass matrices. This `exact' formula represents a vast improvement over the leading order formula based on strong hierarchy of the elements of the mass matrices. Apart from showing the compatibility of texture 4 zero mass matrices with the present value of sin2\beta and other CKM parameters, we find interesting conclusions regarding the structural features of the mass matrices.