Color dipole cross section in the DGLAP improved saturation model

TL;DR

This paper demonstrates that geometric scaling in the dipole cross section can be explained through standard DGLAP evolution, extending saturation models with NNLO accuracy and comparing favorably with the GBW model across various kinematic regions.

Contribution

It introduces a DGLAP improved saturation model using Laplace transforms at LO and NNLO, aligning with experimental data and extending the understanding of geometric scaling in dipole cross sections.

Findings

The DGLAP improved model matches experimental data well.

The model is comparable to the GBW model across a wide kinematic range.

Successful description of dipole cross sections with charm mass included.

Abstract

We show that the geometric scaling of the dipole cross section can be explained using standard DGLAP perturbative evolution. The DGLAP improved saturation model due to the Laplace transforms method is considered at LO and NNLO approximations from the experimental data by relying on a Froissart-bounded parametrization of $F_{2}(x,Q^{2})$. These results are comparable with Golec-Biernat-W$\ddot{\mathrm{u}}$sthoff (GBW) model in a wide kinematic region $rQ_{s}$ which takes into account charm mass. The successful description of ${\sigma}_{\mathrm{dip}}(x,r)/\sigma_{0}$ and ${\sigma}_{\mathrm{dip}}(rQ_{s})/\sigma_{0}$ are presented.