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In the context of a simple gauge-Higgs unification scenario based on the gauge group SU (3) times U (1) ' in a 5-dimensional flat spacetime, we investigate a possibility to realize the Higgs boson mass of 125 GeV with a compactification scale at the TeV. With the introduction of colored bulk fermions in a certain representation under the gauge group with a half-periodic boundary condition, we analyze the one-loop RGE of the Higgs quartic coupling with the gauge-Higgs condition and successfully obtain 125 GeV Higgs boson mass by adjusting a bulk mass for the fermions with a fixed compactification scale. The Kaluza-Klein modes of the colored fermions contribute to the Higgs-to-digluon effective coupling through the one-loop corrections. Since the contribution is destructive to the Standard Model one and reduces the Higgs boson production cross section, the recent LHC result gives a lower bound on the mass of the lightest Kaluza-Klein mode fermion. We find the mass of the lightest Kaluza-Klein mode fermion in the range of 2-3 TeV for 10%-5% reductions of the Higgs boson production cross section through the gluon fusion channel. Such Kaluza-Klein mode fermions can be discovered at the LHC run II with sqrts=13-14 TeV, and LHC phenomenology for the Kaluza-Klein fermions is briefly discussed.
Maru et al. (Sat,) studied this question.
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