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

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) approximate to 4m(t)(2). (C) 2015 The Author. Published by Elsevier B.V.