Geometrical scaling behavior of the top structure functions ratio at the LHeC

Abstract

We consider the ratio of the top structure functions $R^t({\tau }_t)$ in top pair production as a probe of the top content of the proton at the LHeC project. We study the top structure functions with the geometrical scaling of gluon distribution at small $x$ and show that top reduced cross section exhibits geometrical scaling in a large range of photon vitualities. This analysis shows that top longitudinal structure function has sizeable impact on the top reduced cross section at $Q^2\approx 4m_t^2$.

6 pages, 1 table, 5 figures

References in corpus (2)

• Heavy-quark contributions to the ratio F_L/F_2 at low x
• On the Perturbative Stability of the QCD Predictions for the Ratio $R=F_L/F_T$ in Heavy-Quark Leptoproduction

Cited by in corpus (5)

• Study of spin-dependent structure functions of ${}^3\mathrm{He}$ and ${}^3\mathrm{H}$ at NNLO approximation and corresponding nuclear corrections
• Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$
• Parton distribution functions with QED corrections in the valon model
• Importance of the heavy-quarks longitudinal structure function measurements at future circular collider energies
• Top cross section in the LHeC and FCC-he energy range