Broken $S_3$ Symmetry in Flavor Physics

TL;DR

The paper demonstrates that breaking the $S_3$ symmetry in a specific manner provides an excellent approximation for flavor mixing in both quark and lepton sectors, aligning well with experimental data.

Contribution

It introduces a novel symmetry-breaking approach based on the K-M mechanism applied to mass matrices, improving flavor physics modeling.

Findings

Excellent fit to quark sector data

Precise prediction of lepton mixing angle θ13

Symmetry breaking enhances flavor model accuracy

Abstract

The $S_3$ symmetry is shown to be a very good approximate symmetry when it is broken in a specific way. This is true both in quark sector and in lepton sector. The way to break it is implied by the K-M mechanism applied not to the mixing matrix but to the mass matrices. In quark sector, we have an almost perfect fitting to the experimental data, and in lepton sector, we have a precision for the $\theta_{13}$.