The cross-section for the γe-→Ze-→l-l+e- scattering at the LHeC

A measurement of the Z production cross-section in γe^(-) collisions at the Large Hadron^(-)electron Collider(LHeC) is presented for comparison to that at the International Linear Collider(ILC).The total cross-section depends strongly on the polarization of the initial and final e^(-)beams and the electron beam energy Ee;the energy of the proton beam was set to E_(p)=7 TeV.The results show that the total cross^(-)section in γe^(-)→Ze^(-)→l^(-)l+e^(-) at the LHeC is much larger than that at the ILC.