New Models of $SU(6)$ Grand Gauge-Higgs Unification

TL;DR

This paper introduces new $SU(6)$ gauge-Higgs unification models in five dimensions, embedding quarks and leptons without exotic fermions, and explores electroweak symmetry breaking and Higgs mass viability.

Contribution

It proposes novel $SU(6)$ representations for embedding Standard Model fermions in gauge-Higgs unification models without exotic fermions.

Findings

Successful embedding of quarks and leptons without exotic fermions.

Electroweak symmetry breaking achieved with adjoint fermions.

Analysis indicates potential for realistic Higgs mass.

Abstract

A five dimensional $SU(6)$ grand gauge-Higgs unification compactified on $S^1/Z_2$ is discussed. We propose new sets of the $SU(6)$ representations where the quarks and leptons in one generation are embedded and there is no extra massless exotic fermions absent in the Standard Model. The correct electroweak symmetry breaking pattern can be realized by introducing some adjoint fermions. We also analyze whether a viable Higgs mass can be obtained.