Abstract
In this paper, we investigate the finiteness of the Higgs effective potential in an SU(\( \mathcal{N} \)) Gauge-Higgs Unification (GHU) model defined on M4 × S1. We obtain the Higgs effective potential at the two-loop level and find that it is finite. We also discuss that the Higgs effective potential is generically divergent for three- or higher-loop levels. As an example, we consider an SU(\( \mathcal{N} \)) gauge theory on M5 × S1, where the one-loop corrections to the four-Fermi operators are divergent. We find that the Higgs effective potential depends on their counter terms at the three-loop level.
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ArXiv ePrint: 1908.09158
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Hisano, J., Shoji, Y. & Yamada, A. To be, or not to be finite? The Higgs potential in Gauge-Higgs Unification. J. High Energ. Phys. 2020, 193 (2020). https://doi.org/10.1007/JHEP02(2020)193
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DOI: https://doi.org/10.1007/JHEP02(2020)193