Phenomenological Implications of an SU(5) x S4 x U(1) SUSY GUT of Flavour

TL;DR

This paper explores the low-energy phenomenological consequences of an SU(5) SUSY GUT model with S4 x U(1) flavor symmetry, highlighting differences from Minimal Flavour Violation and predicting observable deviations in LFV and EDMs.

Contribution

It provides detailed numerical estimates of flavor observables in a specific SUSY GUT model with a novel flavor symmetry structure.

Findings

Predicted significant deviations in mu --> e gamma decay rate.

Estimated electron EDM close to current experimental bounds.

Identified key flavor observables sensitive to the model's parameters.

Abstract

We discuss the characteristic low energy phenomenological implications of an SU(5) Supersymmetric Grand Unified Theory (SUSY GUT) whose flavour structure is controlled by the family symmetry S4 x U(1), which provides a good description of all quark and lepton masses, mixings as well as CP violation. Although the model closely mimics Minimal Flavour Violation (MFV) as shown in arXiv:1511.07886, here we focus on the differences. We first present numerical estimates of the low energy mass insertion parameters, including canonical normalisation and renormalisation group running, for well-defined ranges of SUSY parameters and compare the naive model expectations to the numerical scans and the experimental bounds. Our results are then used to estimate the model-specific predictions for Electric Dipole Moments (EDMs), Lepton Flavour Violation (LFV), B and K meson mixing as well as rare B decays. The largest observable deviations from MFV come from the LFV process mu --> e gamma and the electron EDM.