https://doi.org/10.1140/epjp/s13360-023-03860-2
Regular Article
Collinear approach for top quark production at ep colliders
Department of physics, Razi University, 67149, Kermanshah, Iran
Received:
29
November
2022
Accepted:
4
March
2023
Published online:
17
March
2023
An approximate study of the collinear approach for 
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 approach in a wide range of 
is used. The reduced cross sections for top quark pair production at the FCC-he (for 
) and LHeC (for 
) center-of-mass energies at high inelasticity are derived. These results may be considered for both the future colliders (i.e., LHeC and FCC-he) 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 shows that the nonlinear corrections, with respect to the top quark mass, are very small for 
.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
