More on the Finiteness of Anomalous Magnetic Moment in the Gauge-Higgs Unification

TL;DR

This paper investigates the finiteness of the anomalous magnetic moment in a gauge-Higgs unification model, revealing a divergence cancellation mechanism linked to Kaluza-Klein partners and quantum mechanical SUSY.

Contribution

It clarifies the divergence cancellation mechanism in gauge-Higgs unification models, showing finiteness of the anomalous magnetic moment despite non-renormalizability.

Findings

Divergences cancel between Kaluza-Klein partner contributions.

Finiteness of the anomalous magnetic moment is predicted.

Quantum mechanical SUSY may explain divergence cancellation.

Abstract

We discuss the anomalous magnetic moment of fermion in a realistic SU(3) model of gauge-Higgs unification compactified on an orbifold S^1/Z_2 including Z_2-odd bulk mass for fermions. An operator analysis implies that the anomalous magnetic moment should be finite and predictable, even though higher dimensional gauge theories are non-renormalizable. Our main purpose is to clarify the cancellation mechanism of the UV divergences appearing in various types of Feynman diagrams. The cancellation of divergence turns out to take place between the contributions of the "partners" in the Higgs-like mechanism present in the non-zero Kaluza-Klein modes to form massive gauge bosons. It is also argued that the cancellation may be attributed to the quantum mechanical SUSY hidden in the scenario of gauge-Higgs unification.