Searching for top quark pair production cross section at LHeC and FCC-eh

TL;DR

This paper explores top quark pair production via deep inelastic scattering at future colliders LHeC and FCC-eh, proposing a method to extract the top reduced cross section and demonstrating its effectiveness through numerical calculations.

Contribution

It introduces a novel method to extract the top reduced cross section related to the structure function $F_2(x,Q^2)$ at proposed colliders, with numerical validation.

Findings

The method accurately describes charm and beauty pair production data.

The reduced cross section is well modeled across various momentum transfers.

Numerical results align with existing experimental data.

Abstract

The deep inelastic scattering mode of $t\overline{t}$ pair production at the proposed LHeC and FCC-eh is considered. We present a method to extract the top reduced cross section related to the transversal structure function $F_{2}(x,Q^{2})$ parameterization. Numerical calculations with known kinematics of the LHeC and FCC-eh colliders are demonstrated. The results obtained for charm and beauty pair production are comparable with the experimental data. We show that for a wide range of the momentum transfer into the top quark pair, the reduced cross section is well described by center-of-mass energies.