The effective potential and universality in GUT inspired gauge-Higgs unification

Abstract

The effective potential for the Aharonov-Bohm phase ${\theta }_H$ in the fifth dimension in GUT inspired $SO(5)\times U(1)\times SU(3)$ gauge-Higgs unification is evaluated to show that dynamical electroweak symmetry breaking takes place with ${\theta }_H\ne 0$, the 4D Higgs boson mass 125GeV being generated at the quantum level. The cubic and quartic self-couplings $({\lambda }_3,{\lambda }_4)$ of the Higgs boson are found to satisfy universal relations, i.e. they are determined, to high accuracy, solely by ${\theta }_H$, irrespective of values of other parameters in the model. For ${\theta }_H=0.1$ ($0.15$), ${\lambda }_3$ and ${\lambda }_4$ are smaller than those in the standard model by 7.7% (8.1%) and 30% (32%), respectively.

Comments: 26 pages, 5 figures, 4 tables; reference added; version accepted for publication in Physical Review D