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 nonrenormalizable. 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 nonzero Kaluza-Klein modes to form massive gauge bosons. It is also argued that the cancellation may be attributed to the quantum mechanical supersymmetry hidden in the scenario of gauge-Higgs unification.
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