Abstract
$SO(5) \times U(1) \times SU(3)$ gauge-Higgs unification model inspired by $SO(11)$ gauge-Higgs grand unification is constructed in the Randall-Sundrum warped space. The 4D Higgs boson is identified with the Aharonov-Bohm phase in the fifth dimension. Fermion multiplets are introduced in the bulk in the spinor, vector and singlet representations of $SO(5)$ such that they are implemented in the spinor and vector representations of $SO(11)$. The mass spectrum of quarks and leptons in three generations is reproduced except for the down quark mass. The small neutrino masses are explained by the gauge-Higgs seesaw mechanism which takes the same form as in the inverse seesaw mechanism in grand unified theories in four dimensions.
Highlights
The existence of the Higgs boson of a mass 125 GeV has been firmly established at the LHC [1]
In this paper we present an alternative way of introducing fermions in the SOð5Þ × Uð1ÞX × SUð3ÞC gauge-Higgs unification (GHU) based on the compatibility with the grand unification of forces
In this paper we have presented a new model of the SOð5Þ × Uð1Þ × SUð3Þ gauge-Higgs unification in which quark and lepton multiplets are introduced in the spinor, vector, and singlet representations of SOð5Þ such that they can be implemented in the SOð11Þ gauge-Higgs grand unification scheme
Summary
The existence of the Higgs boson of a mass 125 GeV has been firmly established at the LHC [1]. Already a realistic gauge-Higgs unification (GHU) model has been constructed It is the SOð5Þ × Uð1ÞX gauge theory in the Randall-Sundrum (RS) warped space with quark and lepton multiplets in the vector representation of SOð5Þ [8,9,10,11,12,13,14,15,16]. Fields with quantum numbers of up-type quarks are contained in an SOð11Þ spinor, but not in an SOð11Þ vector This fact immediately implies that the fermion content in the previous SOð5Þ × Uð1ÞX × SUð3ÞC model, in which all quark multiplets are introduced in the vector representation of SOð5Þ, needs to be modified to be consistent with the SOð11Þ unification. In Appendix D the mass spectra and wave functions of additional dark fermion fields are derived
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