Next-to-leading order Balitsky-Kovchegov equation with resummation

TL;DR

This paper advances the understanding of the Balitsky-Kovchegov equation by incorporating next-to-leading order corrections with all-order resummation of large transverse momentum logarithms, improving accuracy for high-energy QCD predictions.

Contribution

It introduces a method to include NLO corrections with all-order resummation of large logarithms in the BK equation, optimizing the resummation constant for maximal inclusion of full NLO effects.

Findings

Resummation improves the stability of the BK evolution at high energies.

Fixed order corrections are significant near initial conditions for phenomenology.

Optimal resummation constant enhances the inclusion of NLO effects.

Abstract

We solve the Balitsky-Kovchegov evolution equation at next-to-leading order accuracy including a resummation of large single and double transverse momentum logarithms to all orders. We numerically determine an optimal value for the constant under the large transverse momentum logarithm that enables including a maximal amount of the full NLO result in the resummation. When this value is used the contribution from the $\alpha_s^2$ terms without large logarithms is found to be small at large saturation scales and at small dipoles. Close to initial conditions relevant for phenomenological applications these fixed order corrections are shown to be numerically important.