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

TL;DR

This paper demonstrates that in gauge-Higgs unification models, the Higgs mass and potential are finite and scheme-independent at two loops, supporting the model's consistency.

Contribution

It provides a two-loop calculation of the Higgs mass and potential in gauge-Higgs unification, showing their finiteness and scheme independence.

Findings

Higgs mass is free from divergences at two loops

Higgs potential remains finite and well-defined

Results support the consistency of gauge-Higgs unification models

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 $M^4 \times S^1$ and determine the mass and potential of a 4D Higgs field (the $A_5$ 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.