Flavor Mixing of Quarks and a New Texture

TL;DR

The paper proposes a new quark mass matrix texture that relates flavor mixing angles to quark masses, providing predictions consistent with experimental CKM matrix element ratios, though some discrepancies remain.

Contribution

It introduces a novel mass matrix texture with specific zeros, linking quark masses to CKM matrix ratios and offering analytical expressions for flavor mixing angles.

Findings

Predicted CKM element ratios match experimental data.

Derived relations between quark masses and mixing angles.

Identified issues with certain mass estimates affecting predictions.

Abstract

We discuss a new mass matrix with specific texture zeros for the quarks. The three flavor mixing angles for the quarks are functions of the quark masses and can be calculated. The following ratios among CKM matrix elements are given by ratios of quark masses: |Vtd/Vts| ' q md /ms and |Vub/Vcb| ' p mu/mc . Also we can calculate two CKM matrix elements: |Vcb| ' |Vts| ' 2 (ms/mb ). This relation as well as the relation |Vtd/Vts| ' q md /ms are in good agreement with the experimental data. There is a problem with the relation |Vub/Vcb| ' p mu/mc , probably due to wrong estimates of the quark masses mu and m