The DIS dipole picture cross section in exact kinematics

TL;DR

This paper refines the dipole picture of deep inelastic scattering by incorporating a finite energy constraint, significantly affecting charm quark cross sections at specific kinematic points.

Contribution

It introduces a finite energy constraint into the dipole model, improving the accuracy of cross section calculations in exact kinematics.

Findings

Up to 35% correction for charm quarks at Q^2=1 GeV^2 and x=0.01

The correction diminishes at smaller x or higher Q^2

Provides a more precise dipole model for DIS processes

Abstract

We implement a finite energy constraint in the dipole picture of deep inelastic scattering by restricting the invariant mass of the produced partonic system by the virtual photon-target center of mass energy. We show that, for $Q^2=1$GeV$^2$, the effect of this constraint can reach up to $\sim$35% for charm quarks and $\sim$7% for light quarks at $x=0.01$, but then rapidly decreases at smaller $x$ or larger $Q^2$.