# To be, or not to be finite? The Higgs potential in Gauge-Higgs Unification

@article{Hisano2020ToBO, title={To be, or not to be finite? The Higgs potential in Gauge-Higgs Unification}, author={J. Hisano and Y. Shoji and Atsuyuki Yamada}, journal={Journal of High Energy Physics}, year={2020}, volume={2020}, pages={1-19} }

In this paper, we investigate the finiteness of the Higgs effective potential in an SU( N $$ \mathcal{N} $$ ) Gauge-Higgs Unification (GHU) model defined on M 4 × S 1 . 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( N $$ \mathcal{N} $$ ) gauge theory on M 5 × S 1 , where the one-loop corrections to the four… CONTINUE READING

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