Balitsky-Kovchegov equation at next-to-leading order accuracy with a resummation of large logarithms

TL;DR

This paper enhances the Balitsky-Kovchegov equation at next-to-leading order by incorporating resummation of large transverse logarithms, leading to a more stable evolution with significant corrections affecting phenomenological predictions.

Contribution

It introduces a resummation technique into the NLO BK equation, improving stability and accuracy of small-x QCD evolution models.

Findings

Resummation stabilizes the NLO BK evolution.

Higher order corrections slow down the evolution speed.

Non-logarithmic $oldsymbol{ ext{α}_s^2}$ terms are numerically significant.

Abstract

We include resummation of large transverse logarithms into the next-to-leading order Balitsky-Kovchegov equation. The resummed NLO evolution equation is shown to be stable, the evolution speed being significantly reduced by higher order corrections. The contributions from $\alpha_s^2$ terms that are not enhanced by large logarithms are found to be numerically important close to phenomenologically relevant initial conditions.