Approaching Minimal Flavour Violation from an SU(5) x S4 x U(1) SUSY GUT

TL;DR

This paper demonstrates how an SU(5) SUSY GUT combined with S4 x U(1) family symmetry can naturally produce approximate Minimal Flavour Violation, aligning quark and lepton masses, mixings, and CP violation with minimal flavour violation effects.

Contribution

It provides a detailed calculation showing that the S4 x U(1) family symmetry within an SU(5) SUSY GUT framework can generate approximate MFV at low energies.

Findings

S4 x U(1) symmetry reproduces low energy MFV effects

Explicit calculation of mass insertion parameters

Compatibility with quark and lepton flavor data

Abstract

We show how approximate Minimal Flavour Violation (MFV) can emerge from an SU(5) Supersymmetric Grand Unified Theory (SUSY GUT) supplemented by an S4 x U(1) family symmetry, which provides a good description of all quark and lepton (including neutrino) masses, mixings and CP violation. Assuming a SUSY breaking mechanism which respects the family symmetry, we calculate in full explicit detail the low energy mass insertion parameters in the super-CKM basis, including the effects of canonical normalisation and renormalisation group running. We find that the very simple family symmetry S4 x U(1) is sufficient to approximately reproduce the effects of low energy MFV.