The Weinberg Angle and 5D RGE effects in a SO(11) GUT theory

Abstract

The Weinberg angle is an important parameter in Grand Unified Theories (GUT) as its size is crucially influenced by the assumption of unification. In scenarios with different steps of symmetry breaking, in particular in models that involve gauge-Higgs unification, the connection of the ultraviolet theory and the TeV scale-relevant, effective Standard Model description is an important test of the models' validity. In this work, we consider a 6D gauge-Higgs unification GUT scenario and explore the TeV scale-GUT relation using a detailed RGE analysis in the 4D and 5D regimes of the theory, including constraints from LHC measurements. We show that such can be consistent with unification in the light of current constraints, while the Weinberg angle likely translates into concrete conditions on the fermion sector in the higher dimensional setup.

arXiv comment14 pages, 9 figures, 5 tables; v2 Version accepted for publication, updated figures and results

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• Single Higgs Boson Production at Electron-Positron Colliders in Gauge-Higgs Unification
• Signals of $W^{\prime }$ and $Z^{\prime }$ bosons at the LHC in the $SU(3)\times SO(5)\times U(1)$ gauge-Higgs unification
• Bhabha scattering in the gauge-Higgs unification
• Electroweak parameters from mixed SU(2) Yang-Mills Thermodynamics
• $USp(32)$ Special Grand Unification
• Neutrino oscillations and PMNS matrix in gauge-Higgs unification
• Linear Collider Signals of $Z^{\prime }$ Bosons in GUT Inspired Gauge-Higgs Unification
• Family Unification in $SO(16)$ Grand Unification