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

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 $\mathcal{N}$=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.

30 pages plus appendices, 12 figures. References added; published version

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Cited by in corpus (18)

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• Bootstrapping an NMHV amplitude through three loops
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• Lifting Heptagon Symbols to Functions
• Stringy effects in scrambling
• What can we learn about QCD and collider physics from N=4 super Yang-Mills?
• Anomalous Dimensions from Soft Regge Constants
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• A Two-Loop Four-Point Form Factor at Function Level
• Heptagon Functions and Seven-Gluon Amplitudes in Multi-Regge Kinematics
• The two-loop Higgs impact factor
• The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
• Regge Limit of One-Loop String Amplitudes
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Quark-Gluon Backscattering in the Regge Limit at One-Loop
• One-loop central-emission vertex for two gluons in $\mathcal{N}=4$ super Yang-Mills theory