Top cross section in the LHeC and FCC-he energy range

TL;DR

This paper provides theoretical predictions for top-pair production cross sections in electron-proton collisions at future colliders, using QCD calculations at LO and NLO, with implications for collider experiments and cosmic ray models.

Contribution

It presents the first detailed NLO predictions for top-pair production cross sections at the FCC-he and LHeC colliders, including uncertainties and structure function ratios.

Findings

Predicted top-pair production cross sections at future colliders.

Quantified uncertainties from PDFs and scale variations.

Provided insights for collider experiments and cosmic ray modeling.

Abstract

Predictions of the top-pair production cross section in electron-proton (ep) collisions at the future circular collider hadron-electron (FCC-he) and the large hadron electron collider (LHeC) in the leading order (LO) and the next-to-leading order (NLO) approximations in perturbative quantum chromodynamics (QCD) are presented. Numerical results for the top structure functions and the ratio of structure functions are computed at the renormalization scale $\mu^{2}=Q^{2}+4m^{2}_{t}$ in the collinear generalized double asymptotic scaling (DAS) approach. These results are presented in terms of the effective parameters of the parameterization of $F_{2}(x,Q^{2})$, where relying on a Froissart-bounded. These quantitative results can be important for future collider experiments at the center-of-mass energy frontier and the improvement of the phenomenological models for the development of the cosmic ray cascades in ultra-high-energy domain. We obtained the uncertainties because of the power-law behavior $x^{-\Delta}$ of the collinear parton distribution functions (PDFs), the factorization, and renormalization scales, on the top properties at high inelasticity for the FCC-he center-of-mass (CM) energy at the NLO approximation.