Quark mixing with soft breaking of the parity in the minimal Left-Right model

TL;DR

This paper explores how soft parity breaking in the minimal Left-Right model affects quark mixing, CP violation, and flavor physics, providing a framework to quantify deviations from exact parity.

Contribution

It introduces a parameterization of explicit parity-breaking effects in the right-handed quark mixing matrix within the minimal Left-Right model, analyzing their phenomenological implications.

Findings

Constraints from the strong CP parameter limit the deviation of right-handed quark mixings.

Quantifies the maximal deviation of right-handed mixing from the parity-conserving case.

Discusses potential impacts on flavor physics observables.

Abstract

We study the possibility of soft breaking effects of the generalized parity within the minimal Left-Right model. One aim of the paper is to elaborate on the potentiality, the limit, and the predictivity of a restored parity at high scale. While revisiting the issue of strong CP in the Left-Right theories, we motivate the possibility of explicit-parity-breaking, that we then parameterize in the right-handed quark mixing matrix. The strong CP parameter $\bar{\theta}$ is also parameterized in terms of the breaking. We discuss some possible phenomenological consequences in this scenario. In particular, the constraint provided by $\bar{\theta}$ enables us to quantify the maximal deviation of the right-handed quark mixings from the standard case with exact parity in term of a single parameter. This deviation has a direct impact on flavor physics.