# Radiative neutrino masses and successful $SU(5)$ unification

## TL;DR

This paper explores how embedding minimal radiative neutrino mass models into $SU(5)$ Grand Unified Theories can simultaneously address neutrino masses, gauge coupling unification, and proton decay constraints, proposing new minimal models.

## Contribution

It systematically analyzes and identifies new minimal $SU(5)$ models that incorporate radiative neutrino masses and are compatible with unification and proton decay limits.

## Key findings

- Identified various minimal $SU(5)$ models with radiative neutrino masses
- Demonstrated compatibility with gauge coupling unification
- Proposed models with vector-like fermions that satisfy proton decay constraints

## Abstract

Minimal $SU(5)$ Grand Unified models predict massless neutrinos and struggle to achieve gauge coupling unification compatible with the observed lower limit on the proton lifetime. Both of these issues can be resolved by embedding minimal radiative neutrino mass models into $SU(5)$. We systematically analyze the possible ways to realize radiative neutrino mass generation in $SU(5)$ and provide a list of the minimal models. We find various models that have not been considered in the literature and demonstrate the compatibility of radiative neutrino masses with gauge coupling unification and proton decay for a new class of models with vector-like fermions.