The cross-section for the $\gamma e^{-}\to Z{e}^{-}\to l^{-}{l}^{+}{e}^{-}$ scattering at the LHeC

Abstract

A measurement of Z production cross-section in $\gamma e^{-}$ collision at Large Hadron-electron Collider (LHeC) is presented to compare to that at International Linear Collider (ILC). The total cross-section depends strongly on the polarization of the initial and final $e^{-}$ beams, the electron beam energy $E_e$ with the energy of the proton beam taken to be $E_p=7$ TeV. The result shows that the total cross-section in $\gamma e^{-}\to Z{e}^{-}\to l^{-}{l}^{+}{e}^{-}$ at LHeC is much larger than that at ILC.

Comments: 9 pages, 5 figures, 1 table