S3 as a flavour symmetry for quarks and leptons after the Daya Bay result on \theta 13

TL;DR

This paper proposes a flavor symmetry model based on S3 and cyclic groups to explain fermion mass hierarchies and mixing angles, successfully aligning with recent experimental results like Daya Bay's measurement of .

Contribution

It introduces a novel S3-based flavor symmetry model that accounts for fermion masses and mixing angles, including recent  measurements, with specific symmetry breaking mechanisms.

Findings

Neutrino sector naturally explains small  and mass differences.

Model reproduces quark mass hierarchies and mixing angles.

Compatible with recent experimental data on neutrino mixing.

Abstract

We present a model based on the flavour group S3 X Z3 X Z6 to explain the main features of fermion masses and mixing. In particular, in the neutrino sector the breaking of the S3 symmetry is responsible for a naturally small r=\Delta m^2_sol/\Delta m^2_atm and suitable next-to-leading order corrections bring \theta 13 at the level of ~ 0.13, fully compatible with the recent Daya Bay result. In the quark sector, the model accommodates the different mass hierarchies in the up and down quark sectors as well as the Cabibbo angle and Vcb (or Vub, depending on the charge assignment of the right-handed b-quark) in the correct range.