# Sudakov suppression of the Balitsky-Kovchegov kernel

## TL;DR

This paper demonstrates that double logarithmic corrections in the BK equation are of Sudakov type and can be resummed into an exponential, leading to a suppressed evolution kernel at high energies.

## Contribution

It identifies the origin of double logarithms beyond strong ordering in the BK equation as Sudakov type and proposes their resummation into a suppressed kernel.

## Key findings

- Double logarithms arise at high order due to incomplete cancellation.
- These logarithms are of Sudakov type and can be resummed.
- Resummation leads to a Sudakov suppressed BK equation.

## Abstract

To sum high energy leading logarithms in a consistent way, one has to impose the strong ordering in both projectile rapidity and dense target rapidity simultaneously, which results in a kinematically improved Balitsky-Kovchegov(BK) equation. We find that beyond this strong ordering region, the important sub-leading double logarithms arise at high order due to the incomplete cancellation between real corrections and virtual corrections in a t-channel calculation. Based on this observation, we further argue that these double logarithms are the Sudakov type ones, and thus can be resummed into an exponential leading to a Sudakov suppressed BK equation.