Testing quark mass matrices with right-handed mixings

TL;DR

This paper investigates quark mass matrices within the standard and left-right models, focusing on how right-handed mixings, which are unobservable in the standard model but observable in left-right extensions, can constrain matrix forms.

Contribution

It introduces a method to select reliable quark mass matrix forms by applying constraints on right-handed mixings in left-right models, excluding Hermitian matrices.

Findings

Hermitian matrices are excluded based on constraints.

Right-handed mixings provide new observable constraints.

Certain mass matrix forms are favored over others.

Abstract

In the standard model, several forms of quark mass matrices which correspond to the choice of weak bases lead to the same left-handed mixings $V_L=V_{CKM}$, while the right-handed mixings $V_R$ are not observable quantities. Instead, in a left-right extension of the standard model, such forms are ansatze and give different right-handed mixings which are now observable quantities. We partially select the reliable forms of quark mass matrices by means of constraints on right-handed mixings in some left-right models, in particular on $V^R_{cb}$. Hermitian matrices are easily excluded.