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

Abstract

We consider the ratio of the top structure functions Rt(τt) 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 Q2≈4mt2.