Data-driven analysis of a SUSY GUT of flavour

TL;DR

This paper conducts a comprehensive data-driven analysis of a SUSY GUT model based on $SU(5) imes S_4$, predicting fermion masses, mixings, and observable signatures, with implications for dark matter and collider experiments.

Contribution

It introduces a novel, computer-intensive MCMC analysis of a specific SUSY GUT of flavour, assessing its viability and experimental signatures.

Findings

Predicted maximally mixed sfermions.

$ ext{BR}( ightarrow e ext{ gamma})$ close to experimental limit.

Successful bino-like dark matter with nearby winos.

Abstract

We present a data-driven analysis of a concrete Supersymmetric (SUSY) Grand Unified Theory (GUT) of flavour, based on $SU(5)\times S_4$, which predicts charged fermion and neutrino mass and mixing, and where the mass matrices of both the Standard Model and the Supersymmetric particles are controlled by a common symmetry at the GUT scale. This framework also predicts non-vanishing non-minimal flavour violating effects, motivating a sophisticated data-driven parameter analysis to uncover the signatures and viability of the model. This computer-intensive Markov-Chain-Monte-Carlo (MCMC) based analysis includes a large range of flavour as well as dark matter and SUSY observables, predicts distributions for a range of physical quantities which may be used to test the model. The predictions include maximally mixed sfermions, $\mu\rightarrow e \gamma$ close to its experimental limit and successful bino-like dark matter with nearby winos (making direct detection unlikely), implying good prospects for discovering winos and gluinos at forthcoming collider runs. The results also demonstrate that the Georgi-Jarlskog mechanism does not provide a good description of the splitting of down type quark masses and charged leptons, while neutrinoless double beta decay is predicted at observable rates.