Updated S3 Model of Quarks

TL;DR

This paper updates a 2004 S3 symmetry-based model for quark and lepton flavor structures, explaining quark mixing and Higgs-like particle properties, and predicts potential rare decay processes.

Contribution

It refines the S3 model with focus on quark and scalar sectors, linking residual symmetries to observed phenomena and phenomenological bounds.

Findings

Residual symmetries explain quark mixing patterns.

The 126 GeV particle aligns with Standard Model Higgs properties.

Predicts observable decay b -> s tau- mu+.

Abstract

A model proposed in 2004 using the non-Abelian discrete symmetry S3 for understanding the flavor structure of quarks and leptons is updated, with special focus on the quark and scalar sectors. We show how the approximate residual symmetries of this model explain both the pattern of the quark mixing matrix and why the recently observed particle of 126 GeV at the Large Hadron Collider is so much like the one Higgs boson of the Standard Model. We identify the strongest phenomenological bounds on the scalar masses of this model, and predict a possibly observable decay b -> s tau- mu+, but not b -> s tau+ mu-.