# Solution to the Balitsky-Kovchegov equation with the collinearly improved kernel including impact-parameter dependence

## TL;DR

This paper presents a detailed solution to the impact-parameter dependent Balitsky-Kovchegov equation using a collinearly improved kernel, avoiding Coulomb tails and providing predictions consistent with experimental data.

## Contribution

It introduces a novel solution to the impact-parameter dependent BK equation with an improved kernel that suppresses Coulomb tails and aligns well with experimental observations.

## Key findings

- No Coulomb tails at large impact parameters.
- Kernel suppresses large dipoles, affecting solution behavior.
- Predictions agree with HERA and LHC data.

## Abstract

The solution to the impact-parameter dependent Balitsky-Kovchegov equation with the collinearly improved kernel is studied in detail. The solution does not present the phenomenon of Coulomb tails at large impact parameters that have affected previous studies. The origin of this behaviour is explored numerically. It is found to be linked to the fact that this kernel suppresses large daughter dipoles. Solutions based on a physics motivated form of the initial condition are used to compute predictions for structure functions of the proton and the exclusive photo- and electroproduction of vector mesons. A reasonable agreement is found when comparing to HERA and LHC data.