$ZZγ$ and $Zγγ$ couplings in $γe$ collision with polarized beams

Abstract

The potential of $γ$e mode of linear $e^{+}e^{-}$ collider to probe $ZZγ$ and $Zγγ$ vertices is investigated through the Z boson production from the procees $γe\to Z e$. Considering the longitudinal and transverse polarization states of the Z boson and incoming polarized beams we find the 95% C.L. limits on the form factors $h_{3}^{Z}$, $h_{4}^{Z}$, $h_{3}^γ$ and $h_{4}^γ$ with integrated luminosity 500$fb^{-1}$ and $\sqrt{s}=$0.5, 1, 1.5 TeV energies. It is shown that the polarization can improve sensitivities by factors 2-3 depending on the energy.