Large Gauge Hierarchy in Gauge-Higgs Unification

Abstract

We study a five dimensional SU(3) nonsupersymmetric gauge theory compactified on $M^4\times S^1/Z_2$ and discuss the gauge hierarchy in the scenario of the gauge-Higgs unification. Making use of calculability of the Higgs potential and a curious feature that coefficients in the potential are given by discrete values, we find two models, in which the large gauge hierarchy is realized, that is, the weak scale is naturally obtained from an unique large scale such as a grand unified theory scale or the Planck scale. The size of the Higgs mass is also discussed in each model. One of the models we find realizes both large gauge hierarchy and consistent Higgs mass, and shows that the Higgs mass becomes heavier as the compactified scale becomes smaller.

21 pages, no figures, version to appear in PRD

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• Light Top Partners for a Light Composite Higgs
• The Discrete Composite Higgs Model
• Towards A Realistic Grand Gauge-Higgs Unification
• Gauge-Higgs Unification at LHC
• Finite Gluon Fusion Amplitude in the Gauge-Higgs Unification
• The Hierarchy Problem and the Self-Localized Higgs
• Higgs Boson Mass From Gauge-Higgs Unification
• High Temperature Symmetry Nonrestoration and Inverse Symmetry Breaking on Extra Dimensions
• Standard(-like) Model from an SO(12) Grand Unified Theory in six-dimensions with $S_2$ extra-space
• Multi-Higgs Mass Spectrum in Gauge-Higgs Unification
• Gauge-Higgs Unification in Lifshitz Type Gauge Theory
• Constraints on realistic Gauge-Higgs unified models
• Model building by coset space dimensional reduction in eight-dimensions