Quark mixing angles vs quark masses: potential approach

TL;DR

This paper proposes a potential-based approach to relate quark mixing angles to quark mass ratios, deriving stable expressions from flavor-invariant potentials involving CKM matrix traces.

Contribution

It introduces a novel method using flavor-invariant potentials to derive quark mixing angles from quark mass ratios, providing a new theoretical framework.

Findings

Derived stable expressions for quark mixing angles from mass ratios.

Established a potential-based approach using CKM matrix invariants.

Connected quark masses and mixing angles through flavor-invariant potentials.

Abstract

It is shown that phenomenologically favorable expressions of quark mixing angles through the ratios of current quark masses may be derived as stable points of certain 4-th power in CKM matrix flavor-invariant potentials built with traces of 3x3 quark up and down mass matrices.