Flavor Delta(54) in SU(5) SUSY Model

TL;DR

This paper develops a supersymmetric SU(5) GUT model incorporating the finite group (54), successfully reproducing fermion mass hierarchies, CKM mixing, and neutrino properties, with predictions consistent with experimental data.

Contribution

It introduces a novel SU(5) SUSY GUT model based on (54), providing detailed predictions for neutrino masses and mixing angles, including modifications to fit experimental limits.

Findings

Reproduces Standard Model mass hierarchies and CKM matrix

Predicts light neutrino masses with normal hierarchy

Provides neutrino mixing angles within experimental bounds

Abstract

We design a supersymmetric SU (5) GUT model using \Delta (54), a finite non-abelian subgroup of SU (3)f . Heavy right handed neutrinos are introduced which transform as three-dimensional repre-sentation of our chosen family group. The model successfully reproduces the mass hierarchical mass structures of the Standard Model, and the CKM mixing matrix. It then provides predictions for the light neutrino with a normal hierarchy and masses such that m{\nu},1 \approx 5\times10-3 eV, m{\nu}, 2 \approx 1\times 10-2 eV, and m{\nu},3 \approx 5 \times 10-2 eV. We also provide predictions for masses of the heavy neutrinos, and correc- tions to the tri-bimaximal matrix that fit within experimental limits, e.g. a reactor angle of -7.31o. A simple modification to our model is introduced at the end and is shown to also produce predictions that fall well within those limits.