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

TL;DR

This paper analyzes the Z boson production cross-section in gamma-electron collisions at the LHeC, highlighting its dependence on beam polarization and energy, and comparing it to the ILC results.

Contribution

It provides the first detailed comparison of Z production cross-sections in gamma-electron collisions at LHeC and ILC, emphasizing the impact of beam polarization and energy.

Findings

Cross-section at LHeC is significantly larger than at ILC.

Beam polarization and electron energy strongly influence the cross-section.

Results suggest LHeC has higher potential for Z boson studies.

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 $\gamma e^{-} \rightarrow Z e^{-} \rightarrow l^{-}l^{+}e^{-}$ at LHeC is much larger than that at ILC.