Signals of $W^{\mathrm{\prime }}$ and $Z^{\mathrm{\prime }}$ bosons at the LHC in the $SU(3)\times SO(5)\times U(1)$ gauge-Higgs unification

The $pp\to \{W,W^{\mathrm{\prime }}\}\to l\nu$ and $pp\to \{\gamma ,Z,Z^{\mathrm{\prime }}\}\to l^{+}{l}^{-}$ ($l=e,\mu$) processes in the $SU(3{)}_C\times SO(5)\times U(1{)}_X$ gauge-Higgs unification (GHU) models are studied, where $W^{\mathrm{\prime }}$ and $Z^{\mathrm{\prime }}$ bosons are Kaluza-Klein (KK) exited states of the electroweak gauge bosons. From the experimental data collected at the Large Hadron Collider, constraints on the KK mass scale and the Aharonov-Bohm phase are obtained. One can explore the KK mass scale in the GUT inspired GHU model up to 18 TeV for the luminosity 300 fb${}^{-1}$ and 22 TeV for the luminosity 3000 fb${}^{-1}$ at $\sqrt{s}=14$ TeV.