Beyond DGLAP improved saturation model

TL;DR

This paper introduces a modified saturation model incorporating nonlinear corrections, demonstrating its effectiveness in describing small-x QCD phenomena and aligning with other prominent models like CGC and IP-Sat.

Contribution

The paper develops a GLR-MQ improved saturation model with a novel parametrization that maintains geometric scaling and aligns with other models across a wide kinematic range.

Findings

Geometric scaling holds for the GLR-MQ model in a broad kinematic region.

The model's dipole cross sections are comparable to the CGC model.

Nonlinear corrections are consistent with the IP-Sat and b-CGC models.

Abstract

We present a modification of the DGLAP improved saturation model with respect to the nonlinear correction (NLC). The GLR-MQ improved saturation model is considered by employing the parametrization of proton structure function due to the Laplace transforms method, which preserves its behavior success in the low and high $Q^{2}$ regions. We show that the geometric scaling holds for the GLR-MQ improved model in a wide kinematic region $rQ_{s}$. These results are comparable with other models in a wide kinematic region $rQ_{s}$. The behavior of the dipole cross sections, with respect to the GLR-MQ improved saturation model, are comparable with the Color Glass Condensate (CGC) model. The model describes the dipole cross sections in the inclusive and diffractive processes. We also compare the nonlinear corrections to the impact-parameter dependent saturation (IP-Sat) model with the impact-parameter dependent color glass condensate (b-CGC) dipole model. Finally, we consider the linear and nonlinear corrections to the IP Non-Sat model. These results provide a benchmark for further investigation of QCD at small $x$ in future experiments such as the Large Hadron Collider and Future Circular Collider projects.