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arXiv · 2103.06269

The UV sensitivity of the Higgs potential in Gauge-Higgs Unification

Atsuyuki Yamada
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Abstract

In this paper, we discuss the UV sensitivity of the Higgs effective potential in a Gauge-Higgs Unification (GHU) model. We consider an $SU(\mathcal N)$ GHU on $\mathbf M^4\times S^1$ spacetime with a massless Dirac fermion. In this model, we evaluate the four-Fermi diagrams at the two-loop level and find them to be logarithmically divergent in the dimensional regularization scheme. Moreover, we confirm that their counter terms contribute to the Higgs effective potential at the four-loop level. This result means that the Higgs effective potential in the GHU depends on UV theories as well as in other non-renormalizable theories.

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Atsuyuki Yamada. 2021-03-10. The UV sensitivity of the Higgs potential in Gauge-Higgs Unification. https://doi.org/10.1093/ptep/ptab085

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