Color dipole cross section in the DGLAP improved saturation model

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 $r{Q}_s$ which takes into account charm mass. The successful description of ${\sigma }_{\mathrm{dip}}(x,r)/{\sigma }_0$ and ${\sigma }_{\mathrm{dip}}(r{Q}_s)/{\sigma }_0$ are presented.

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Cited by in corpus (5)

• The unintegrated gluon distribution from the GBW and BGK models
• The dipole cross section by the unintegrated gluon distribution at small $x$
• Beyond DGLAP improved saturation model
• The improved saturation model in nuclei
• Evolution of the color dipole cross section