The electroweak gauge couplings in SO(5) x U(1) gauge-Higgs unification

Abstract

The electroweak currents of quarks and leptons in the $SO(5)\times U(1)$ gauge-Higgs unification model in the Randall-Sundrum warped space are determined. The 4D gauge couplings deviate from those in the standard model and the weak universality is slightly violated. It is shown that the model is free from 4D anomalies and the deviations of the gauge couplings are tiny, less than 1% except for the top quark. The $Z{t}_L{\bar{t}}_L$, $Z{t}_R{\bar{t}}_R$, $Z{b}_L{\bar{b}}_L$ and $Z{b}_R{\bar{b}}_R$ couplings deviate from those in the standard model by -7%, 18%, 0.3% and 0.9% with the warp factor $z_L=10^{15}$, respectively. The violation of the $\mu$-$e$, $\tau$-$e$ and $t$-$e$ universality in the charged current interactions is $\mathcal{O}(10^{-8})$, $\mathcal{O}(10^{-6})$ and 2.3%, respectively.

42 pages, 2 figures. Many comments and references are added

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• LHC signals of the $SO(5)\times U(1)$ gauge-Higgs unification
• Gauge-Higgs Seesaw Mechanism in Six-Dimensional Grand Unification
• Phenomenology of GUT-inspired gauge-Higgs unification
• Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited
• H parity and the stable Higgs boson in the SO(5) x U(1) gauge-Higgs unification
• Gauge-Higgs EW and Grand Unification
• Collider signals of $W^{\prime }$ and $Z^{\prime }$ bosons in the gauge-Higgs unification
• $H\to Z\gamma$ in the gauge-Higgs unification
• The Higgs Particle and Higher-Dimensional Theories
• Dark matter in the $SO(5)\times U(1)$ gauge-Higgs unification
• Collider signatures of the SO(5) x U(1) gauge-Higgs unification
• SUSY breaking scales in the gauge-Higgs unification
• Anomaly flow by an Aharonov-Bohm phase
• Forward-backward asymmetry on Z resonance in SO(5) x U(1) gauge-Higgs unification
• Toward Realistic Gauge-Higgs Grand Unification
• QCD parity violation at LHC in warped extra dimension
• Universality in Anomaly Flow
• Left Right Model from Gauge Higgs Unification with Dark Matter
• Symmetry breaking caused by large R-charge
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