Accurate Quark CKM Mixing Matrix in terms of one universal parameter

TL;DR

This paper presents a highly accurate, simple parameterization of the quark CKM matrix using a single universal parameter, reproducing the Standard Model fit and CP-violating phase.

Contribution

It introduces a novel compact parameterization of the CKM matrix with one small parameter, aligning with experimental data and extending to neutrino mixing.

Findings

Accurate reproduction of CKM matrix elements within 1 standard deviation.

Derivation of a unique CP-violating phase of -65.53 degrees.

Extension of the parameterization to neutrino mixing consistent with data.

Abstract

The quark Cabibbo-Kobayashi-Maskawa mixing matrix is a fundamental part of the Standard Model accurately determined to fit world data analysis. In this paper the CKM matrix elements are high accurately rendered via simple compact parameterization by one small dimensionless parameter. Unique value of the KM CP-violating phase -65.53 deg is derived in agreement with fitting the data Wolfenstein parameterization. With the three mixing angles and CP-violating phase quantitatively determined, the complete content of the CKM global fit in the SM is accurately reproduced within the small relative 1 S.D. ranges in the form of a united system. Parameterization of the neutrino Pontecorvo-Maki-Nakagava-Sakata mixing matrix by the same parameter in agreement with available data is related to the quark CKM one by the idea of quark-neutrino mixing angle complementarity extended to the relation between Dirac CP-violating phases.