The dipole form of the gluon part of the BFKL kernel

TL;DR

This paper derives the dipole form of the gluon component of the NLO BFKL kernel in coordinate space, completing the transformation process that was previously applied only to the quark part.

Contribution

It provides the explicit coordinate-space form of the gluon part of the NLO BFKL kernel, advancing the understanding of the kernel's structure in dipole form.

Findings

Successfully obtained the dipole form of the gluon NLO BFKL kernel

Completed the transformation process from momentum to coordinate space

Facilitated further applications in high-energy QCD calculations

Abstract

The dipole form of the gluon part of the colour singlet BFKL kernel in the next-to-leading order (NLO) is obtained in the coordinate representation by direct transfer from the momentum representation, where the kernel was calculated before. With this paper the transformation of the NLO BFKL kernel to the dipole form, started a few months ago with the quark part of the kernel, is completed.