Predictions from a flavour GUT model combined with a SUSY breaking sector

Abstract

We discuss how flavour GUT models in the context of supergravity can be completed with a simple SUSY breaking sector, such that the flavour-dependent (non-universal) soft breaking terms can be calculated. As an example, we discuss a model based on an SU(5) GUT symmetry and $A_4$ family symmetry, plus additional discrete "shaping symmetries" and a ${\mathbb{Z}}_4^{\mathrm{R}}$ symmetry. We calculate the soft terms and identify the relevant high scale input parameters, and investigate the resulting predictions for the low scale observables, such as flavour violating processes, the sparticle spectrum and the dark matter relic density.

arXiv comment24 pages, 3 figures

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• Quark-lepton Yukawa ratios and nucleon decay in SU(5) GUTs with type-III seesaw
• Predicting ${\delta }^{\text{PMNS}}$, ${\theta }_{23}^{\text{PMNS}}$ and fermion mass ratios from flavour GUTs with CSD2
• Employing nucleon decay as a fingerprint of SUSY GUT models using \texttt{SusyTCProton}
• Yukawa ratio predictions in non-renormalizable $\mathrm{SO}(10)$ GUT models
• Revamped Bi-Large neutrino mixing with Gatto-Sartori-Tonin like relation