Bhabha scattering in the gauge-Higgs unification

We examine effects of $Z'$ bosons in gauge-Higgs unification (GHU) models at $\mathrm{e}^{+}\mathrm{e}^{-}\to \mathrm{e}^{+}\mathrm{e}^{-}$ Bhabha scatterings. evaluate differential cross sections scatterings including two types $\mathrm{SO}(5) \times \mathrm{U}(1) \mathrm{SU}(3)$ GHU models. find that deviations the from those SM can be seen $\sqrt{s} = 250\,\mathrm{GeV}$. With $80\%$-longitudinally polarized electron and $30\%$-longitudinally positron beams, left-right asymmetries A- B-models are resolved more than $3\,\sigma$ $L_{\rm int} =250\,\mathrm{fb}^{-1}$. also show scattering with angle less 100 mrad safely used as luminosity measurements $\mathrm{e}^{+}\mathrm{e}^{-}$ colliders since well suppressed for small angle. propose a new observable which measured future TeV-scale $\mathrm{e}^{+} \mathrm{e}^{-}$ linear colliders.