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.

中文翻译：

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Gauge-Higgs 统一中 Higgs 势的 UV 灵敏度

在本文中，我们讨论了 Gauge-Higgs 统一 (GHU) 模型中 Higgs 有效势的 UV 敏感性。我们考虑一个在$\mathbf M^4\times S^1$ 时空上的$SU(\mathcal N)$ GHU，它带有一个无质量的狄拉克费米子。在这个模型中，我们在两环级别评估四费米图，并发现它们在维度正则化方案中呈对数发散。此外，我们确认他们的反项有助于四环水平的希格斯有效潜力。这一结果意味着 GHU 中的希格斯有效势取决于 UV 理论以及其他不可重整化理论。