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

Abstract

The $pp\to \{W,W^{\prime }\}\to l\hat{I}½$ and $pp\to \{{\hat{I}}^3,Z,Z^{\prime }\}\to l^{+}{l}^{-}$ ($l=e,\hat{I}¼$) processes in the $SU(3{)}_C\times SO(5)\times U(1{)}_X$ gauge-Higgs unification (GHU) models are studied, where $W^{\prime }$ and $Z^{\prime }$ 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.

26 pages, 2 figures, 17 tables, published version