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

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.

32 pages, 11 eps files, version to appear in PRD

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• H parity and the stable Higgs boson in the SO(5) x U(1) gauge-Higgs unification
• Dark matter in the $SO(5)\times U(1)$ gauge-Higgs unification
• Fermionic Minimal Dark Matter in 5D Gauge-Higgs Unification
• Strong First Order Electroweak Phase Transition in Gauge-Higgs Unification at Finite Temperature