Calculability of Quark Mixing Parameters from General Nearest Neighbor Interaction Texture Quark Mass Matrices

TL;DR

This paper analyzes general quark mass matrices with a new texture form, demonstrating their compatibility with experimental data and introducing a class of matrices that directly relate quark masses to mixing parameters, enhancing calculability.

Contribution

It introduces a novel class of quark mass matrices that link quark masses directly to mixing parameters without extra parameters, improving theoretical predictability.

Findings

Excellent agreement with experimental data achieved

Proposed matrices contain no additional parameters beyond quark masses

Established a direct relationship between quark masses and mixing parameters

Abstract

We perform an analysis of general quark mass matrices in the general nearest neighbor interaction form. Excellent agreement with experiment is realized with this general texture, which is neither hermitian nor real-symmetric. We then propose a new class of quark mass matrices that contain no additional parameters other than the quark masses themselves, and thus possess calculability, i.e., ensure a relationship between the six quark masses and four flavor-mixing parameters of the Standard Model.