Renormalizable SU(5) Unification

TL;DR

This paper introduces a renormalizable SU(5) grand unified theory where neutrino masses are generated via the Zee mechanism, unification constraints are satisfied, and testable predictions include proton decay and a light colored octet for collider signatures.

Contribution

It presents a novel renormalizable SU(5) GUT model integrating neutrino mass generation and unification constraints with testable predictions.

Findings

Neutrino masses generated at quantum level via Zee mechanism

Gauge coupling unification achieved within the model

Predictions include proton decay and a light colored octet at LHC

Abstract

We propose a simple renormalizable grand unified theory based on the $SU(5)$ gauge symmetry where the neutrino masses are generated at the quantum level through the Zee mechanism. In this model the same Higgs needed to correct the mass relation between charged leptons and down-type quarks plays a crucial role to generate neutrino masses. We show that in this model one can satisfy the constrains coming from the unification of gauge couplings and the mechanism for neutrino masses is discussed in detail. The predictions for proton decay are discussed in order to understand the testability at current and future experiments such as Hyper-Kamiokande. This simple theory predicts a light colored octet which could give rise to exotic signatures at the LHC.