A constraint to the uncertainty associated with the elements in the quark mixing matrix

TL;DR

This paper introduces an additional constraint to better limit the uncertainty in the diagonal elements of the quark mixing matrix, enhancing understanding of their correlations and implications for matrix tensions.

Contribution

It proposes a new condition to constrain uncertainties in the quark mixing matrix and explores how these correlations impact matrix tension issues.

Findings

New constraint reduces uncertainty in diagonal elements

Correlations among uncertainties inform matrix tension analysis

Implications for quark mixing matrix parameterization

Abstract

We present an extra condition by which the size of the uncertainty associated with the diagonal elements in the quark mixing matrix can be further constrained when the matrix is parameterized by a combination of three mixing angles and a Dirac phase. Then we discuss how the correlations among the uncertainties of the diagonal emenets can be used when we address issues such as the tension in the first row and the column of the matrix and discuss its implications.