# Including resummation in the NLO BK equation

## TL;DR

This paper incorporates resummation of large transverse momentum logarithms into the NLO BK equation, improving its stability and revealing the significance of non-logarithmic NLO terms near realistic initial conditions.

## Contribution

It introduces a resummation scheme into the NLO BK equation, enhancing stability and providing a numerical determination of the resummation constant.

## Key findings

- Resummation stabilizes the NLO BK evolution.
- NLO corrections significantly slow down evolution.
- Non-logarithmic NLO terms are numerically important.

## Abstract

We include a resummation of large transverse momentum logarithms in the next-to-leading order (NLO) Balitsky-Kovchegov equation. The resummed evolution equation is shown to be stable, the evolution speed being significantly reduced by NLO corrections. The contributions from NLO terms that are not enhanced by large logarithms are found to be numerically important close to phenomenologically relevant initial conditions. We numerically determine the value for the constant in the resummed logarithm that includes a maximal part of the full NLO terms in the resummation.