An SU(5) x A5 Golden Ratio Flavour Model

TL;DR

This paper presents a grand unified SU(5) x A5 flavor model that predicts neutrino mixing consistent with experimental data, featuring a neutrino mass sum rule and golden ratio mixing, with specific predictions for neutrino masses.

Contribution

It introduces a renormalizable SU(5) x A5 flavor model with a neutrino mass sum rule and golden ratio mixing, including detailed superpotential and scalar potential analysis.

Findings

Normal neutrino mass ordering is viable, inverted ordering is not.

Predicted lightest neutrino mass is about 10-50 meV.

Leptonic mixing angles match experimental observations.

Abstract

In this paper we study an SU(5) x A5 flavour model which exhibits a neutrino mass sum rule and golden ratio mixing in the neutrino sector which is corrected from the charged lepton Yukawa couplings. We give the full renormalizable superpotential for the model which breaks SU(5) and A5 after integrating out heavy messenger fields and minimising the scalar potential. The mass sum rule allows for both mass orderings but we will show that inverted ordering is not valid in this setup. For normal ordering we find the lightest neutrino to have a mass of about 10-50 meV, and all leptonic mixing angles in agreement with experiment.