Radion and Higgs masses in gauge-Higgs unification

TL;DR

This paper calculates the radion and Higgs masses in gauge-Higgs unification models with warped geometry, showing their dependence on the Wilson line phase and implications for collider detectability.

Contribution

It provides a detailed analysis of radion and Higgs masses in warped gauge-Higgs unification models, incorporating Casimir energy stabilization and one-loop effective potential calculations.

Findings

Radion mass ranges from 1 to 30 GeV depending on parameters.

Higgs mass is between 150 and 200 GeV, weakly dependent on phase.

Radion couplings are too small for collider detection in valid model regions.

Abstract

We evaluate the radion and Higgs masses in the gauge-Higgs unification models on the warped geometry, in which the modulus is stabilized by the Casimir energy. We analyze the one-loop effective potential and clarify the dependences of those masses on the Wilson line phase $\theta_H$. The radion mass varies 1-30GeV for $0.06\leq\sin\theta_H\leq 0.3$, while the Higgs mass is 150-200 GeV and depends on $\theta_H$ only logarithmically. The radion couplings to the standard model particles are sensitive to the warp factor, and are too small to detect at colliders in the region where the five-dimensional description is valid.