The dipole form of the BFKL kernel in supersymmetric Yang--Mills theories

TL;DR

This paper derives the dipole (Möbius) representation of the NLO BFKL kernel in supersymmetric Yang--Mills theories, discussing ambiguities and conformal properties to enhance understanding of high-energy QCD processes.

Contribution

It provides the first explicit derivation of the dipole form of the NLO BFKL kernel in supersymmetric theories, clarifying its ambiguities and conformal invariance features.

Findings

Derived the dipole (Möbius) form of the NLO BFKL kernel in supersymmetric theories

Discussed ambiguities and conformal properties of the kernel

Enhanced understanding of high-energy scattering in supersymmetric gauge theories

Abstract

The dipole (M\"{o}bius) representation of the colour singlet BFKL kernel in the next-to-leading order is found in supersymmetric Yang--Mills theories. Ambiguities of this form and its conformal properties are discussed.