Collinear approach for top quark production at ep colliders

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