Towards A Realistic Grand Gauge-Higgs Unification

TL;DR

This paper explores a 5D SU(6) grand gauge-Higgs unification model on an orbifold, achieving realistic fermion content, forbidden proton decay at tree level, and proper electroweak symmetry breaking with minimal exotic states.

Contribution

It presents a minimal 5D SU(6) model with realistic fermion embedding, no exotic states, and mechanisms for electroweak symmetry breaking and proton stability.

Findings

Proton decay is forbidden at tree level.

Electroweak symmetry breaking is successfully realized.

Fermions are embedded without exotic states.

Abstract

We investigate a 5D SU(6) grand gauge-Higgs unification model compactified on an orbifold S^1/Z_2. Ordinary quarks and leptons, together with right-handed neutrinos, are just accommodated into a minimal set of representations of the gauge group, without introducing any exotic states. The proton decay turns out to be forbidden at least at the tree level. We also find a correct electroweak symmetry breaking SU(2)_L \times U(1)_Y \to U(1)_{em} is easily realized by introducing suitable number of adjoint fermions.