Minimal SU(6) Gauge-Higgs Grand Unification

TL;DR

This paper proposes a minimal $SU(6)$ Gauge-Higgs Grand Unification model in warped space, successfully reproducing the Standard Model spectrum, Higgs mass, and addressing proton decay, with testable predictions at colliders.

Contribution

It introduces a novel minimal $SU(6)$ GUT framework in warped space, resolving issues of exotic states and proton decay while achieving realistic Higgs mass and fermion spectrum.

Findings

Realistic Higgs mass around 125 GeV achieved

Exotic states eliminated via boundary symmetry breaking

Predicts accessible $X,Y$ gauge bosons at colliders

Abstract

We present a minimal viable Gauge-Higgs Grand Unification scenario in warped space based on a $SU(6)$ bulk symmetry - unifying the gauge symmetries of the SM and their breaking sector. We show how the issue of light exotic new states is eliminated by appropriately breaking the gauge symmetry on the UV and IR boundaries by either brane scalars or gauge boundary conditions. The SM fermion spectrum is naturally reproduced including Dirac neutrinos and we compute the Higgs potential at one-loop, finding easily solutions with a realistic $m_h \sim 125$ GeV. The problem of proton decay is addressed by showing that baryon number is a hidden symmetry of the model. Among the phenomenological consequences, we highlight the presence of a scalar leptoquark and a scalar singlet. The usual $X,Y$ gauge bosons from $SU(5)$ GUTs are found at collider accessible masses.