Finite Gluon Fusion Amplitude in the Gauge-Higgs Unification

TL;DR

This paper demonstrates that the gluon fusion amplitude in gauge-Higgs unification models remains finite across all dimensions due to gauge invariance, confirmed through explicit calculations.

Contribution

It proves the finiteness of the gluon fusion amplitude in gauge-Higgs unification regardless of dimensionality, highlighting the role of gauge invariance in nonrenormalizable theories.

Findings

Gluon fusion amplitude is finite in any dimension.

Higher dimensional gauge invariance forbids certain local operators.

Explicit calculations confirm the theoretical finiteness.

Abstract

We show that the gluon fusion amplitude in the gauge-Higgs unification scenario is finite in any dimension regardless of its nonrenormalizability. This result is supported by the fact that the local operator describing the gluon fusion process is forbidden by the higher dimensional gauge invariance. We explicitly calculate the gluon fusion amplitude in an arbitrary dimensional gauge-Higgs unification model and indeed obtain the finite result.