An SU(5) grand unified model with discrete flavour symmetries

TL;DR

This paper presents an $SU(5)$ grand unified model incorporating discrete flavor symmetries that accurately reproduces observed fermion masses and mixings, including neutrino masses via a type I seesaw mechanism.

Contribution

It introduces a novel $SU(5)$ GUT model with specific discrete flavor symmetries that successfully explains fermion mass hierarchies and mixing patterns, fitting experimental data with minimal free parameters.

Findings

Model reproduces quark and lepton masses and mixings accurately.

Predicts neutrino masses consistent with experimental constraints.

Uses high-scale symmetry breaking via scalar singlets.

Abstract

We propose a model based on the $SU(5)$ grand unification with an extra $Z_{2}\otimes Z_{2}^{\prime}\otimes Z_{2}^{\prime \prime}\otimes Z_{4}\otimes Z_{12}$ flavor symmetry, which successfully describes the observed SM fermion mass and mixing pattern. The observed quark mass and mixing pattern is caused by the $Z_{4}$ and $Z_{12}$ symmetries, which are broken at very high scale by the $SU(5)$ scalar singlets $\sigma $ and $\chi $, charged respectively under these symmetries and which acquire VEVs at the GUT scale. The light neutrino masses are generated via a type I seesaw mechanism with three heavy Majorana neutrinos. The model has in total 17 effective free parameters, from which 2 are fixed and 15 are fitted to reproduce the experimental values of the 18 physical parameters in the quark and lepton sectors. The model predictions for both quark and lepton sectors are in excellent agreement with the experimental data.