# Collinearly improved kernel suppresses Coulomb tails in the impact-parameter dependent Balitsky-Kovchegov evolution

## TL;DR

This paper solves the impact-parameter dependent Balitsky-Kovchegov equation using a collinearly improved kernel, eliminating Coulomb tails and accurately describing HERA data, with applications to gluon distributions.

## Contribution

It introduces a solution to the BK equation with a collinearly improved kernel that removes Coulomb tails and fits experimental data.

## Key findings

- Coulomb tails are suppressed in the solutions.
- The model describes HERA structure function data well.
- Impact-parameter dependent gluon distribution computed.

## Abstract

We solved the impact-parameter dependent Balitsky-Kovchegov equation with the recently proposed collinearly imporved kernel. We find that the solutions do not present the Coulomb tails that have affected previous studies. We also show that once choosing an adequate initial condition it is possible to obtain a reasonable description of HERA data on the structure function of the proton, as well as on the cross section for the exclusive production of a $\mathrm{J/}\psi$ vector meson off proton targets. As a further application of the solutions, we computed the impact-parameter dependent Weisz\"acker-Williams gluon distribution.