The color dipole model bounds with the gluon-gluon recombination correction

TL;DR

This paper investigates nonlinear and higher twist corrections to the color dipole model bounds at low x and Q^2, highlighting the transition from linear to nonlinear behavior influenced by gluon distribution functions, and shows good agreement with experimental data.

Contribution

It introduces nonlinear and higher twist corrections to the color dipole model bounds, providing a more accurate description at low x and Q^2 regions.

Findings

Reduced cross sections align well with H1 data at low and moderate Q^2.

Transition from linear to nonlinear behavior depends on gluon distribution.

Parameters in the model are consistent with color dipole bounds.

Abstract

We present nonlinear (NL) and higher twist (HT) corrections to the color dipole model (CDM) bounds at low values of $x$ and $Q^{2}$ using the parameterization method. Consistency between the bounds at this region describe that a transition from the linear to the nonlinear behavior is dependence on the behavior of the gluon distribution function. The parameters in the color dipole model are comparable with the color dipole bounds at low values of $Q^{2}$. Consequently, the obtained reduced cross sections at low and moderate $Q^{2}$ values due to the NL+HT effects show a good agreement with the H1 data.