Dynamical symmetry breaking in Gauge-Higgs unification of 5D $\mathcal{N}=1$ SUSY theory

Abstract

We study the dynamical symmetry breaking in the gauge-Higgs unification of the 5D $\mathcal{N}=1$ SUSY theory, compactified on an orbifold, $S^1/Z_2$. This theory identifies Wilson line degrees of freedoms as ``Higgs doublets''. We consider $SU(3{)}_c\times SU(3{)}_W$ and SU(6) models, in which the gauge symmetries are reduced to $SU(3{)}_c\times SU(2{)}_L\times U(1{)}_Y$ and $SU(3{)}_c\times SU(2{)}_L\times U(1{)}_Y\times U(1)$, respectively, through the orbifolding boundary conditions. Quarks and leptons are bulk fields, so that Yukawa interactions can be derived from the 5D gauge interactions. We estimate the one loop effective potential of ``Higgs doublets'', and analyze the vacuum structures in these two models. We find that the effects of bulk quarks and leptons destabilize the suitable electro-weak vacuum. We show that the introduction of suitable numbers of extra bulk fields possessing the suitable representations can realize the appropriate electro-weak symmetry breaking.

15 pages, 4 figures;disscutions on Higgs quartic couplings added

References in corpus (3)

• Dynamical symmetry breaking in Gauge-Higgs unification on orbifold
• Electroweak Symmetry Breaking in Supersymmetric Gauge-Higgs Unification Models
• A general formula of the effective potential in 5D SU(N) gauge theory on orbifold

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• Minimal gauge-Higgs unification with a flavour symmetry
• Gauge-Higgs Dark Matter
• Partial Gauge Symmetry Breaking via Bare Mass
• Tree-level unitarity in Gauge-Higgs Unification
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• Correct Effective Potential of Supersymmetric Yang-Mills Theory on M^4\times S^1
• Multi-Higgs Mass Spectrum in Gauge-Higgs Unification
• Mass spectrum in a six-dimensional $SU(n)$ gauge theory on a magnetized torus
• Constraints on realistic Gauge-Higgs unified models
• One-loop effective potential in M4 x T2 with and without 't Hooft flux