Revisiting Electroweak Symmetry Breaking and Higgs Mass in Gauge-Higgs Unification

TL;DR

This paper introduces a 5D gauge-Higgs unification model that achieves realistic electroweak symmetry breaking and Higgs mass, using simple fermion representations and boundary conditions to reduce exotic states.

Contribution

It presents a novel 5D $SU(3)\otimes U(1)_X$ model with simplified fermion content and boundary conditions that successfully reproduces electroweak symmetry breaking and Higgs mass.

Findings

Achieves realistic electroweak symmetry breaking.

Obtains observed Higgs boson mass.

Reduces exotic fermions via boundary conditions.

Abstract

We propose a new model of 5D $SU(3)\otimes U(1)_X$ gauge-Higgs unification with a successful electroweak symmetry breaking and a realistic Higgs boson mass. In our model, the representations of the fermions are very simple, the ${\bf 3}, \overline{\bf 3}$ and $\bf \overline{15}$ representations of $SU(3)$ gauge group. Employing the anti-periodic boundary conditions for $\bf \overline{15}$ reduces massless exotic fermions and simplifies the brane localized mass terms. We calculate the 1-loop Higgs potential in detail and find that a realistic electroweak symmetry breaking and the observed Higgs mass are obtained.