Collinear approach for top quark production at ep colliders

TL;DR

This paper analyzes top quark pair production at future ep colliders using a collinear approach, deriving cross sections and gluon density evolution, with implications for collider experiments and phenomenological models.

Contribution

It introduces a collinear generalized double asymptotic scaling approach for heavy quark production at high energies, including nonlinear corrections and gluon density evolution.

Findings

Nonlinear corrections are very small near the top quark mass scale.

Derived reduced cross sections for FCC-he and LHeC energies.

Gluon density evolution at low x includes heavy-quark mass effects.

Abstract

An approximately analysis study of the collinear approach for $t\overline{t}$ production at the Future Circular Collider hadron-electron (FCC-he) and the Large Hadron electron Collider (LHeC) is performed. To study heavy quark production processes, the collinear generalized double asymptotic scaling (DAS) approach in a wide rang of $Q^{2}$ is used. The reduced cross sections for top quark pair production at the FCC-he (for $Q^{2}{\geq}m^{2}_{t}$) and LHeC (for $Q^{2}{\leq}m^{2}_{t}$) center-of-mass energies at the high inelasticity are derived. These results may be considering for both the future collider experiments at center-of-mass energy frontier and the improvement of the phenomenological models on kinematics of low values of the Bjorken variable $x$. The evolution of the gluon density for heavy-quark production in DIS is obtained at low $x$ to include effects of heavy-quark masses. A nonlinear modification of these results shown that the nonlinear corrections, with respect to the top quark mass, are very small for $Q^{2}{\propto}m^{2}_{t}$.