126 GeV Higgs boson and universality relations in the $SO(5) \times U(1)$ gauge-Higgs unification

TL;DR

This paper explores the implications of the 126 GeV Higgs boson within the $SO(5) imes U(1)$ gauge-Higgs unification framework, revealing universal relations and predicting KK mode masses with minimal KK correction effects.

Contribution

It establishes a universal relation between KK mass scale and Aharonov-Bohm phase, and analyzes Higgs self-couplings and decay rates within this model.

Findings

Universal relation: $m_{KK} o 1350/( ext{sin} heta_H)^{0.787}$ GeV.

Higgs self-couplings are reduced compared to the Standard Model.

Predicted first KK $Z$ mass: 2.5 to 6 TeV for $ heta_H=0.1$ to 0.35.

Abstract

The Higgs boson mass $m_H=126 $GeV in the $SO(5) \times U(1)$ gauge-Higgs unification in the Randall-Sundrum space leads to important consequences. An universal relation is found between the Kaluza-Klein (KK) mass scale $m_{KK}$ and the Aharonov-Bohm phase $\theta_H$ in the fifth dimension; $m_{KK} \sim 1350\,{\rm GeV}/(\sin \theta_H)^{0.787}$. The cubic and quartic self-couplings of the Higgs boson become smaller than those in the SM, having universal dependence on $\theta_H$. The decay rates $H \rightarrow \gamma \gamma, gg$ are evaluated by summing contributions from KK towers. Corrections coming from KK excited states turn out very small. With $\theta_H= 0.1 \sim 0.35$, the mass of the first KK $Z$ is predicted to be $2.5 \sim 6 \, $TeV.