Small x nonlinear evolution with impact parameter and the structure function data

TL;DR

This paper numerically solves the nonlinear Balitsky-Kovchegov equation at small x with impact parameter dependence, incorporating confinement effects and running coupling, and compares results with HERA structure function data.

Contribution

It introduces a numerical solution of the BK equation with impact parameter dependence including confinement modeled by gluon mass and running coupling effects.

Findings

Solution sensitive to mass implementation in kernel

Inclusion of confinement regulates dipole splitting

Comparison with HERA data shows good agreement

Abstract

The nonlinear Balitsky-Kovchegov equation at small x is solved numerically, incorporating impact parameter dependence. Confinement is modeled by including effective gluon mass in the dipole evolution kernel, which regulates the splitting of dipoles with large sizes. It is shown, that the solution is sensitive to different implementations of the mass in the kernel. In addition, running coupling effects are taken into account in this analysis. Finally, a comparison of the calculations using the dipole framework with the inclusive data from HERA on the structure functions F2 and FL is performed.