Perturbative Estimates of the Eigenfunctions of the Non-forward BFKL Kernel

TL;DR

This paper uses first-order perturbation theory to estimate corrections to the NLO BFKL eigenfunctions for scattering with non-zero momentum transfer, addressing non-covariance issues of the kernel.

Contribution

It introduces a perturbative approach to estimate eigenfunction corrections accounting for non-conformal invariance at NLO.

Findings

Derived first-order corrections to the NLO BFKL eigenfunctions.

Highlighted the impact of non-conformal invariance on the kernel.

Provided a framework for improved scattering amplitude calculations.

Abstract

We discuss, within the context of first order perturbation theory, the correction to the NLO BFKL wavefuncyion for scattering processes with non-zero momentum transfer, arising from the fact that in NLO the kernel is not covariant under conformal transformations.