A six-dimensional gauge-Higgs unification model based on $E_6$ gauge symmetry

TL;DR

This paper develops a six-dimensional $E_6$ gauge-Higgs unification model on an orbifold, producing realistic particle content, a natural Higgs potential, and a stable Higgs boson as a dark matter candidate.

Contribution

It constructs a novel $E_6$ gauge-Higgs unification model on $S^2/Z_2$ with a realistic Higgs potential and stable Higgs boson without extra matter or symmetry assumptions.

Findings

Realistic Higgs potential achieved without extra matter.

Higgs boson as a KK mode with odd parity, stable as a dark matter candidate.

Calculated KK masses for all fields at tree level.

Abstract

We construct a six-dimensional gauge-Higgs unification model with the enlarged gauge group of $E_6$ on $S^2/Z_2$ orbifold compactification. The standard model particle contents and gauge symmetry are obtained by utilizing a monopole background field and imposing appropriate parity conditions on the orbifold. In particular, a realistic Higgs potential suitable for breaking the electroweak gauge symmetry is obtained without introducing extra matter or assuming an additional symmetry relation between the SU(2) isometry transformation on the $S^2$ and the gauge symmetry. The Higgs boson is a KK mode associated with the extra-dimensional components of gauge field. Its odd KK-parity makes it a stable particle, and thus a potential dark matter candidate in the model. We also compute the KK masses of all fields at tree level.