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 $\theta_H \not= 0$, the 4D Higgs boson mass 125$\,$GeV 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.
Highlights
The Higgs boson is responsible for the electroweak symmetry breaking in the standard model (SM)
The effective potential for the Aharonov-Bohm phase θH in the fifth dimension in grand unified theory (GUT)-inspired SOð5Þ × Uð1Þ × SUð3Þ gauge-Higgs unification is evaluated to show that dynamical electroweak symmetry breaking takes place with θH ≠ 0, where the four-dimensional Higgs boson mass of 125 GeV is generated at the quantum level
In this paper we have examined the effective potential VeffðθHÞ in GUT-inspired SOð5Þ × Uð1Þ × SUð3Þ gaugeHiggs unification to confirm that electroweak symmetry breaking is dynamically induced by the Hosotani mechanism
Summary
The Higgs boson is responsible for the electroweak symmetry breaking in the standard model (SM). Quarklepton multiplets are introduced such that with orbifold conditions specified zero modes appear precisely for quarks and leptons, but not for exotic light fermions They must have observed couplings to W and Z bosons, and their masses must be reproduced. As a model satisfying these conditions, SOð5Þ × Uð1ÞX × SUð3ÞC gauge-Higgs unification is formulated in the RS space [8,9,10,11,12,13,14,15,16,17,18,19,20]. In this paper we evaluate the effective potential VeffðθHÞ in GUT-inspired SOð5Þ × Uð1ÞX × SUð3ÞC gauge-Higgs unification. We shall evaluate the effective potential VeffðθHÞ
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