On x-independence of RQ = FLQ/F2Q ratio at low x

TL;DR

The paper predicts that the ratio of structure functions RQ at small x is approximately independent of x at low Q2, which could aid future studies of heavy flavor production in collider experiments.

Contribution

It demonstrates an approximate x-independence of RQ at low x and Q2, regardless of the gluon density, providing a new insight for phenomenological analyses.

Findings

RQ(x,Q2) is approximately x-independent at low x and Q2.

This independence holds regardless of the gluon density used.

The result is relevant for future collider studies of heavy flavor production.

Abstract

We give predictions for the ratio RQ(x,Q2)=FLQ(x,Q2)/F2Q(x,Q2) at small values of Bjorken variable x in the first three orders of perturbation theory. We show an approximate x-independence of RQ(x,Q2) at low x and non-large Q2 values (Q2 < 8--10 m2Q), irrespectively on the gluon density in a proton used in the calculations. This observation could be useful in subsequent phenomenological studies of the heavy flavor production at future lepton-hadron and hadron-hadron colliders.