Renormalizable SU(5) Completions of a Zee-type Neutrino Mass Model

TL;DR

This paper investigates embedding a radiative neutrino mass model of Zee type into a renormalizable SU(5) framework, identifying new states compatible with gauge unification and LHC testability.

Contribution

It provides a detailed analysis of SU(5) representations for a Zee-type neutrino mass model and identifies scenarios consistent with gauge coupling unification.

Findings

Specific SU(5) representations for new fields are identified.

Unification scenarios include colored scalars accessible at the LHC.

Patterns of new states are consistent with scalar potential considerations.

Abstract

We explore the potential of a selected model of radiative neutrino masses to be implemented in a renormalizable SU(5) unification framework. The Zee-type model under consideration uncovers the SU(5) representations in which the new fields are embedded and which may contain also other light states leading to the unification of gauge couplings. We perform an exhaustive search which reveals specific patterns of new states and demonstrate that such patterns are consistent with a general choice of relevant scalar potential. It turns out that all of the specific scenarios which lead to successful unification include the colored scalars testable at the LHC.