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arXiv 2103.06269hep-ph
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规范-Higgs统一中Higgs势的UV灵敏度

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

Atsuyuki Yamada

摘要:

本文讨论了规范-希格斯统一(GHU)模型中Higgs有效势的紫外敏感性。本文考虑具有无质量狄拉克费米子的$\mathbf M^4\times S^1$时空上的$SU(\mathcal N)$ GHU。在这个模型中,我们评估的四个费米图在两个回路的水平,并发现它们是几何发散的维正则化方案。此外,我们确认,他们的计数器项有助于在四圈水平的希格斯有效势。这个结果意味着GHU中的希格斯有效势依赖于UV理论以及其他不可重整化的理论。

英文摘要:

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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