5-Dimensional Difficulties of Gauge-Higgs Unifications

Abstract

We consider 5 dimensional gauge theories where the 5th direction is compactified on the orbifold S^1/Z_2, and where the 5th components of the gauge bosons play the role of the Standard Model Higgs boson (gauge-Higgs unification). The gauge symmetry breaking is realized through the appropriate orbifold boundary conditions and through the Hosotani mechanism. We show that for {\em any such theory} the assumption that the low-energy vector-boson spectrum consists of the W^\pm, Z and γonly, is inconsistent with the experimental requirements \sin^2θ_W\simeq 1/4 and ρ\equiv m_W^2/(m_Z^2\cos^2θ_w)=1.

arXiv commentsome wording modified

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• More on the Finiteness of Anomalous Magnetic Moment in the Gauge-Higgs Unification
• 6D gauge-Higgs unification on T^2/Z_N with custodial symmetry
• Non-perturbative Gauge-Higgs Unification: Symmetries and Order Parameters
• Constraints on realistic Gauge-Higgs unified models
• Two Higgs Doublets Model in Gauge-Higgs Unification framework
• Weak Mixing Angle and Higgs Mass in Gauge-Higgs Unification Models with Brane Kinetic Terms