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

Journal of High Energy Physics

Atsuyuki Yamada¹  Yutaro Shoji²  Junji Hisano² 

[1] Department of Physics, Nagoya University;Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University;

关键词: Phenomenology of Field Theories in Higher Dimensions;   

DOI  :  10.1007/JHEP02(2020)193

来源: DOAJ

【 摘 要 】

Abstract 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 M4 × 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 M5 × S 1, 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.

【 授权许可】

Unknown