The SO(11) gauge-Higgs grand unification in the Randall-Sundrum warped space is presented. The 4D Higgs field is identified as the zero mode of the fifth dimensional component of the gauge potentials, or as the fluctuation mode of the Aharonov-Bohm phase θ H along the fifth dimension. Fermions are introduced in the bulk in the spinor and vector representations of SO(11). SO(11) is broken to SO(4) × SO(6) by the orbifold boundary conditions, which is broken to SU (2) L × U (1) Y × SU (3) C by a brane scalar. Evaluating the effective potential V eff (θ H ), we show that the electroweak symmetry is dynamically broken to U (1) EM . The quark-lepton masses are generated by the Hosotani mechanism and brane interactions, with which the observed mass spectrum is reproduced. The proton decay is forbidden thanks to the new fermion number conservation. It is pointed out that there appear light exotic fermions. The Higgs boson mass is determined with the quark-lepton masses given, which, however, turns out smaller than the observed value.
arXiv:1606.07222v1 [hep-ph] 23 Jun 2016where M, N, A, B, C = 0, 1, 2, 3, 5, a = 1, 2, 3. a stands for the generation index. c Ψ a 32 , c Ψ a 11 , c Ψ a 32 represent bulk mass parameters. We employ the background field method, separating A M into the classical part A c M and the quantum partThe gaugefixing function and the associated ghost term are given, in the conformal coordinate, by
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