Thermal Phase Transition in the SO(5) x U(1) Gauge-Higgs Unification with 126GeV Higgs

TL;DR

This paper investigates the phase structure of SO(5) x U(1) gauge-Higgs unification in Randall-Sundrum space-time, revealing a nearly second order thermal electroweak phase transition around 160 GeV.

Contribution

It demonstrates the thermal phase transition behavior in a gauge-Higgs unification model reproducing the 126 GeV Higgs mass, with detailed analysis of the transition order and critical temperature.

Findings

Electroweak phase transition is nearly second order.

Critical temperature is approximately 160 GeV.

Transition characteristics depend on extra dimension parameters.

Abstract

We study the phase structure of the gauge theories in the space-time with one compact dimension, where the gauge symmetry can be broken by the Hosotani mechanism. As the extra dimension, we consider the SO(5) x U(1) gauge-Higgs unification in the Randall-Sundrum space-time which reproduce the 126 GeV Higgs mass. It is found that the thermal phase transition of the electroweak symmetry is almost second order and the critical temperature is around 160 GeV for z_L < 10^7 and n_F=3.