Adjoint BFKL at finite coupling: a short-cut from the collinear limit

TL;DR

This paper computes the adjoint BFKL eigenvalue and impact factor at any coupling in planar N=4 SYM by analytic continuation from the collinear limit, validating results across weak and strong coupling regimes.

Contribution

It introduces a novel method to determine BFKL building blocks at any coupling using analytic continuation from the collinear limit, extending previous all-loop results.

Findings

Validated predictions against existing weak and strong coupling data.

Provided explicit expressions for BFKL eigenvalue and impact factor at arbitrary coupling.

Enhanced understanding of high-energy scattering in N=4 SYM.

Abstract

In the high energy Regge limit, the six gluons scattering amplitude is controlled by the adjoint BFKL eigenvalue and impact factor. In this paper we determine these two building blocks at any value of the 't Hooft coupling in planar $\cal{N}$=4 SYM theory. This is achieved by means of analytic continuations from the collinear limit, where similar all loops expressions were recently established. We check our predictions against all available data at weak and strong coupling.