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LHC signals of theSO(5)×U(1)gauge-Higgs unification
Funatsu, Shuichiro,Hatanaka, Hisaki,Hosotani, Yutaka,Orikasa, Yuta,Shimotani, Takuya American Physical Society 2014 PHYSICAL REVIEW D - Vol.89 No.9
Signatures of the SO(5) x U(1) gauge-Higgs unification at LHC and future colliders are explored. The Kaluza-Klein (KK) mass spectra of.; Z; Z(R) and the Higgs self-couplings obey universality relations with the Aharonov-Bohm phase theta(H) in the fifth dimension. The current data at low energies and at LHC indicate theta(H) < 0.2. Couplings of quarks and leptons to KK gauge bosons are determined. Three neutral gauge bosons, the first KK modes Z(R)((1)), Z((1)), and gamma((1)), appear as Z' bosons in dilepton events at LHC. For theta(H) = 0.114, the mass and decay width of Z(R)((1)), Z((1)), and gamma((1))are (5.73, 482), (6.07, 342), and (6.08 TeV, 886 GeV), respectively. For theta(H) = 0.073 their masses are 8.00 similar to 8.61 TeV. An excess of events in the dilepton invariant mass should be observed in the Z' search at the upgraded LHC at 14 TeV.
Polyakov loops and the Hosotani mechanism on the lattice
Cossu, Guido,Noaki, Jun-Ichi,Hatanaka, Hisaki,Hosotani, Yutaka American Physical Society 2014 PHYSICAL REVIEW D - Vol.89 No.9
We explore the phase structure and symmetry breaking in four-dimensional SU(3) gauge theory with one spatial compact dimension on the lattice (16(3) x 4 lattice) in the presence of fermions in the adjoint representation with periodic boundary conditions. We estimate numerically the density plots of the Polyakov loop eigenvalues phases, which reflect the location of minima of the effective potential in the Hosotani mechanism. We find strong indications that the four phases found on the lattice correspond to SU(3)-confined, SU(3)-deconfined, SU(2) x U(1), and U(1) x U(1) phases predicted by the one-loop perturbative calculation. The case with fermions in the fundamental representation with general boundary conditions, equivalent to the case of imaginary chemical potentials, is also found to support the Z(3) symmetry breaking in the effective potential analysis.