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

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Summary

INTRODUCTION

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

STRUCTURE OF SOð11Þ
Gauge fields and orbifold boundary conditions
Matter fields and orbifold boundary conditions
Bulk action The bulk part of the action is given by
Brane interactions and mass terms for fermions
Higgs boson and the twisted gauge
SPECTRUM OF GAUGE FIELDS
Aμ components
Az components
SPECTRUM OF FERMION FIELDS
Up-type quarks
Down-type quarks
CCCCCA
D L1 þ bd SDL2
Charged lepton
Neutrino
W couplings of quarks and leptons
SUMMARY AND DISCUSSIONS
Gauge fields
Massive fermion fields
C L2 C L1
E Eþ L cV cV m V m V
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