Two loop finiteness of Higgs mass and potential in the gauge-Higgs unification

Abstract

The zero mode of an extra-dimensional component of gauge potentials serves as a 4D Higgs field in the gauge-Higgs unification. We examine QED on M4 × S1 and determine the mass and potential of a 4D Higgs field (the A5 component) at the two loop level with gauge invariant reguralization. It is seen that the mass is free from divergences and independent of the renormalization scheme.

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