Dipole cross section from the unintegrated gluon distribution at small <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>x</mml:mi></mml:math>
G. R. Boroun
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 in ${\ensuremath{\alpha}}_{s}$. 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 comparison with the UGD models (M. Hentschinski, A. Sabio Vera, and C. Salas; I. P. Ivanov and N. N. Nikolaev; and G. Watt, A. D. Martin, and M. G. Ryskin). These results show that the geometric scaling holds for the improved saturation model in a wide kinematic region $r{Q}_{s}$, and is comparable with the Golec-Biernat-W\"usthof model. The unintegrated gluon distribution at low and high momentum transfer in a wide range of $x$ is considered.