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 $Q^2\approx 4m_t^2$.

arXiv comment6 pages, 1 table, 5 figures

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Cited by in corpus (9)

• The Large Hadron-Electron Collider at the HL-LHC
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• Phenomenology of leading nucleon production in $ep$ collisions at HERA in the framework of fracture functions
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• Importance of the heavy-quarks longitudinal structure function measurements at future circular collider energies
• Parton distribution functions with QED corrections in the valon model
• Top cross section in the LHeC and FCC-he energy range