https://doi.org/10.1140/epjp/s13360-024-04907-8
Regular Article
The study of heavy quarks pair production at the LHeC and FCC-eh in the collinear generalized double asymptotic scaling (DAS) approach
Department of Physics, Razi University, 67149, Kermanshah, Iran
Received:
19
October
2023
Accepted:
8
January
2024
Published online:
10
February
2024
In this paper, the main idea is the prediction of the linear and nonlinear behavior of heavy quarks pair production cross section at the deep inelastic scattering leptoproduction at the future electron–proton colliders, i.e., the Large Hadron electron Collider (LHeC) and the Future Circular Collider electron-hadron (FCC-eh) at the leading order (LO) and the next-to-leading order (NLO) approximation in perturbative quantum chromodynamics (pQCD) at small x. By considering the nonlinear corrections to the gluon distribution function in the framework of the nonlinear GLR-MQ-ZRS evolution equation and using the Laplace transform technique, based on the parametrization method of structure function 
and its derivatives, we determine the linear and nonlinear evolution of production cross section and structure functions and 
and their ratio with respect to variables x and 
for heavy quarks of charm and beauty. To study the heavy quark production processes, we use the collinear generalized double asymptotic scaling (DAS) approach in kinematics range of the LHeC and FCC-eh colliders. The computed results are compared with experimental data from HERA and the results of NNPDF4.0 and CT18 Collaborations.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
