Right Handed Quark Mixing in Left-Right Symmetric Theory

TL;DR

This paper derives exact formulas for the right-handed quark mixing matrix in a Left-Right symmetric model with generalized Parity, explaining why right-handed mixing angles resemble CKM angles despite symmetry breaking.

Contribution

It provides explicit formulas for the right-handed CKM matrix in the minimal Left-Right symmetric theory with generalized Parity, clarifying the near equality of mixing angles.

Findings

Right-handed mixing angles are close to CKM angles despite symmetry breaking.

Explicit formulas for the right-handed CKM matrix are derived.

Applications include predictions for right-handed gauge boson production and K meson mass differences.

Abstract

We give exact formulas for the right-handed analog of the CKM matrix in the minimal Left-Right symmetric theory, for the case when the Left-Right symmetry is generalized Parity as in the original version of the theory. We derive its explicit form and give a physical reason for the known and surprising fact that the right-handed mixing angles are close in value to the CKM ones, in spite of the Left-Right symmetry being badly broken in nature. We exemplify our results on the production of the right-handed charged gauge boson and the computation of the neutral K meson mass difference.