Effective potential and universality in GUT-inspired gauge-Higgs unification
Shuichiro Funatsu, Hisaki Hatanaka, Yutaka Hosotani, Yuta Orikasa, Naoki Yamatsu
Abstract
The effective potential for the Aharonov-Bohm phase ${\ensuremath{\theta}}_{H}$ in the fifth dimension in GUT-inspired $SO(5)\ifmmode\times\else\texttimes\fi{}U(1)\ifmmode\times\else\texttimes\fi{}SU(3)$ gauge-Higgs unification is evaluated to show that dynamical electroweak symmetry breaking takes place with ${\ensuremath{\theta}}_{H}\ensuremath{\ne}0$, where the four-dimensional Higgs boson mass of 125 GeV is generated at the quantum level. The cubic and quartic self-couplings $({\ensuremath{\lambda}}_{3},{\ensuremath{\lambda}}_{4})$ of the Higgs boson are found to satisfy universal relations, i.e., they are determined, to high accuracy, solely by ${\ensuremath{\theta}}_{H}$, irrespective of the values of other parameters in the model. For ${\ensuremath{\theta}}_{H}=0.1$ (0.15), ${\ensuremath{\lambda}}_{3}$ and ${\ensuremath{\lambda}}_{4}$ are smaller than those in the standard model by 7.7% (8.1%) and 30% (32%), respectively.