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.

arXiv comment30 pages plus appendices, 12 figures. References added; published version

References in corpus (55)

• Operator expansion for high-energy scattering
• Review of AdS/CFT Integrability: An Overview
• Bounding scalar operator dimensions in 4D CFT
• Transcendentality and Crossing
• The Pomeron and Gauge/String Duality
• Deep Inelastic Scattering and Gauge/String Duality
• High energy QCD as a completely integrable model
• HPL, a Mathematica implementation of the harmonic polylogarithms
• Conformal Regge theory
• A resummation of large sub-leading corrections at small x
• Quantum spectral curve for AdS_5/CFT_4
• NLO corrections to the BFKL equation in QCD and in supersymmetric gauge theories
• Space-time S-matrix and Flux-tube S-matrix at Finite Coupling
• Baryon Distribution Amplitudes in QCD
• Thermodynamic Bubble Ansatz
• Y-system for Scattering Amplitudes
• An Operator Product Expansion for Polygonal null Wilson Loops
• Bootstrapping an NMHV amplitude through three loops
• Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
• Logarithmic scaling in gauge/string correspondence
• The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory
• Measurement of the charm fragmentation function in D* photoproduction at HERA
• N=4 supersymmetric Yang Mills scattering amplitudes at high energies: the Regge cut contribution
• Single-valued harmonic polylogarithms and the multi-Regge limit
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• High Energy Asymptotics of Multi--Colour QCD and Exactly Solvable Lattice Models
• Deep inelastic scattering at strong coupling from gauge/string duality : the saturation line
• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• On the Strong Coupling Scaling Dimension of High Spin Operators
• Exciting the GKP string at any coupling
• Eikonal Methods in AdS/CFT: BFKL Pomeron at Weak Coupling
• An "all-poles" approximation to collinear resummations in the Regge limit of perturbative QCD
• Evolution equation for gluon Regge trajectory
• BFKL equation for the adjoint representation of the gauge group in the next-to-leading approximation at N=4 SUSY
• Summation of Leading Logarithms at Small x
• Integrability of scattering amplitudes in N=4 SUSY
• BFKL approach and six-particle MHV amplitude in N=4 super Yang-Mills
• Functional BES equation
• Noncompact Heisenberg spin magnets from high-energy QCD: II. Quantization conditions and energy spectrum
• Hexagon Wilson Loop OPE and Harmonic Polylogarithms
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• MHV amplitude for 3->3 gluon scattering in Regge limit
• Exact resolution of the Baxter equation for reggeized gluon interactions
• The Multi-Regge limit of NMHV Amplitudes in N=4 SYM Theory
• The role of leading twist operators in the Regge and Lorentzian OPE limits
• Wilson loop OPE, analytic continuation and multi-Regge limit
• When does the gluon reggeize?
• Analytic properties of high energy production amplitudes in N=4 SUSY
• A note on string solutions in AdS_3
• Constant mean curvature surfaces in AdS_3
• The Excited Hexagon Reloaded
• Multi-reggeon compound states and resummed anomalous dimensions in QCD
• Approaching the BFKL pomeron via integrable classical solutions

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