Lower Bound for Compactification Scale from Muon g - 2 in the Gauge-Higgs Unification

TL;DR

This paper calculates the muon anomalous magnetic moment in a five-dimensional gauge-Higgs unification model, establishing a lower bound of 5-6 TeV for the compactification scale based on experimental data.

Contribution

It provides the first calculation of muon g-2 in a 5D gauge-Higgs unification framework including Z_2-odd bulk mass effects.

Findings

Lower bound for compactification scale is 5-6 TeV.

One-loop Kaluza-Klein contributions match experimental muon g-2.

Model constrains extra-dimensional theories with muon data.

Abstract

We discuss a muon anomalous magnetic moment in a five dimensional SU (3) gauge- Higgs unification compactified on M^4 \times S^1 /Z_2 space-time including Z_2 -odd bulk mass for a fermion. We calculate one-loop corrections to the anomalous magnetic moment of muon and find a lower bound for the compactification scale to be around 5 \sim 6 TeV by comparing nonzero Kaluza-Klein mode contributions with the muon (g - 2) experiment at BNL.