Minimal SU(5) Asymptotic Grand Unification

TL;DR

This paper introduces a minimal asymptotic grand unification model based on an SU(5) gauge theory in a specific orbifold, achieving UV fixed point unification without supersymmetry and proposing a dark matter candidate.

Contribution

It presents a novel minimal SU(5) orbifold model with UV fixed point unification, conserved baryon number, and a potential dark matter candidate, without relying on supersymmetry.

Findings

Gauge couplings unify at a UV fixed point.

Baryon number conservation prevents proton decay.

Dark matter candidate with mass around 2.4 TeV.

Abstract

We present a minimal model of asymptotic grand unification based on an $SU(5)$ gauge theory in a compact $S^1/(\mathbb{Z}_2 \times \mathbb{Z}'_2)$ orbifold. The gauge couplings run to a unified fixed point in the UV, without supersymmetry. By construction, fermions are embedded in different $SU(5)$ bulk fields. As a consequence, baryon number is conserved, thus preventing proton decay, and the lightest Kaluza-Klein tier consists of new states that cannot decay into standard model ones. We show that the Yukawa couplings can be either in the bulk or localized, and run to an asymptotically free fixed point in the UV. The lightest massive state can play the role of Dark Matter, produced via baryogenesis, for a Kaluza-Klein mass of about $2.4$ TeV.