A left-right symmetric flavor symmetry model

TL;DR

This paper explores flavor symmetries within left-right symmetric theories, highlighting unique challenges and proposing an $A_4$-based model that predicts neutrino properties and avoids lepton flavor violation.

Contribution

It introduces a novel flavor symmetry model in left-right symmetric frameworks, addressing residual symmetries and charge conjugation issues, with specific predictions for neutrino parameters.

Findings

Neutrino mass, mixing angle, and CP phase correlations analyzed

No lepton flavor violation from the Higgs bi-doublet

Model predicts Dirac CP phase around maximal values

Abstract

We discuss flavor symmetries in left-right symmetric theories. We show that such frameworks are a different environment for flavor symmetry model building compared to the usually considered cases. This does not only concern the need to obey the enlarged gauge structure, but also more subtle issues with respect to residual symmetries. Furthermore, if the discrete left-right symmetry is charge conjugation, potential inconsistencies between the flavor and charge conjugation symmetries should be taken care of. In our predictive model based on $A_4$ we analyze the correlations between the smallest neutrino mass, the atmospheric mixing angle and the Dirac CP phase, the latter prefers to lie around maximal values. There is no lepton flavor violation from the Higgs bi-doublet.