The dipole cross section by the unintegrated gluon distribution at small $x$

TL;DR

This paper develops a consistent method to incorporate an improved saturation model for the unintegrated gluon distribution at small x within the $k_t$ factorization framework, demonstrating geometric scaling and comparing with existing models.

Contribution

It introduces a novel scheme to include an improved saturation model for the unintegrated gluon distribution at NLO, starting from deep inelastic scattering data.

Findings

Geometric scaling holds for the improved saturation model.

Results are comparable with the Golec-Biernat-Wüsthoff model.

The UGD is analyzed across a wide range of x and momentum transfer.

Abstract

We apply a previously developed scheme to consistently include the improved saturation model for the unintegrated gluon distribution (UGD) in order to evaluate, in the framework of $k_{t}$ factorization, at small $x$ at the next-to-leading order (NLO) in $\alpha_{s}$. We start the unintegrated gluon distribution with a parametrization of the deep inelastic structure function for electromagnetic scattering with protons, and then extract the color dipole cross section, which preserves its behavior success in a wide range of $k_{t}^{2}$ in comparisons with the UGD models (M. Hentschinski, A. Sabio Vera and C. Salas (HSS), I.P.Ivanov and N.N.Nikolaev (IN) and G. Watt, A.D. Martin and M.G. Ryskin (WMR)) . These results show that the geometric scaling holds for the improved saturation model in a wide kinematic region $rQ_{s}$, and are comparable with the Golec-Biernat-W$\ddot{\mathrm{u}}$sthoff (GBW) model. The unintegrated gluon distribution at low and high momentum transfer in a wide range of $x$ is considered.