A SUSY GUT of Flavour with S4 x SU(5) to NLO

TL;DR

This paper develops a SUSY GUT model based on S4 x SU(5) that accurately predicts fermion masses and mixings, including neutrino TB mixing, with minimal NLO corrections.

Contribution

It constructs a novel SUSY GUT of flavour with S4 x SU(5) symmetry, achieving precise fermion mixing predictions at NLO with negligible corrections.

Findings

Accurate fermion mass and mixing predictions at NLO.

Neutrino TB mixing predicted with 0.1% accuracy.

Small deviations from TB mixing consistent with sum rules.

Abstract

We construct a Supersymmetric (SUSY) Grand Unified Theory (GUT) of Flavour based on S4 x SU(5), together with an additional (global or local) Abelian symmetry, and study it to next-to-leading order (NLO) accuracy. The model includes a successful description of quark and lepton masses and mixing angles at leading order (LO) incorporating the Gatto-Sartori-Tonin (GST) relation and the Georgi-Jarlskog (GJ) relations. We study the vacuum alignment arising from F-terms to NLO and such corrections are shown to have a negligible effect on the results for fermion masses and mixings achieved at LO. Tri-bimaximal (TB) mixing in the neutrino sector is predicted very accurately up to NLO corrections of order 0.1%. Including charged lepton mixing corrections implies small deviations from TB mixing described by a precise sum rule, accurately maximal atmospheric mixing and a reactor mixing angle close to three degrees.