Weak boson scattering in Gauge-Higgs Unification
Naoyuki Haba, Yutaka Sakamura, and Toshifumi Yamashita
TL;DR
This paper studies how the scattering of longitudinal weak bosons varies with energy, spacetime geometry, and gauge-Higgs parameters, revealing differences in unitarity violation between flat and warped models.
Contribution
It provides a detailed analysis of weak boson scattering amplitudes in Gauge-Higgs Unification models, highlighting the impact of spacetime geometry and Wilson line phase on unitarity.
Findings
Amplitude depends on heta_H in warped spacetime
Unitarity is violated at lower scales in warped models
Flat spacetime amplitude is nearly heta_H-independent
Abstract
The scattering amplitude for the longitudinal weak bosons is investigated in the SU(3) gauge-Higgs unification as a function of the scattering energy, the Wilson line phase \theta_H and the warp factor. The \theta_H-dependence of the amplitude is quite different in the flat and the warped spacetimes. Generically the amplitude is enhanced for \theta_H=O(1) in the warped case while it is almost independent of \theta_H in the flat case. This indicates the tree-level unitarity is violated in the warped case at a lower scale than that in the flat case.
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