Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills

Abstract

We revisit the calculation of the six-gluon remainder function in planar $\mathcal{N}=4$ super Yang-Mills theory from the strong coupling TBA in the multi-Regge limit and identify an infinite set of kinematically subleading terms. These new terms can be compared to the strong coupling limit of the finite-coupling expressions for the impact factor and the BFKL eigenvalue proposed by Basso et al. in arXiv:1407.3766, which were obtained from an analytic continuation of the Wilson loop OPE. After comparing the results order by order in those subleading terms, we show that it is possible to precisely map both formalisms onto each other. A similar calculation can be carried out for the seven-gluon amplitude, the result of which shows that the central emission vertex does not become trivial at strong coupling.

arXiv comment27 pages, 2 figures

References in corpus (50)

• Gluon scattering amplitudes at strong coupling
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Space-time S-matrix and Flux-tube S-matrix at Finite Coupling
• Bootstrapping the three-loop hexagon
• Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
• Thermodynamic Bubble Ansatz
• Y-system for Scattering Amplitudes
• Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
• An Operator Product Expansion for Polygonal null Wilson Loops
• Bootstrapping an NMHV amplitude through three loops
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• Hexagon functions and the three-loop remainder function
• Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
• The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory
• N=4 supersymmetric Yang Mills scattering amplitudes at high energies: the Regge cut contribution
• Single-valued harmonic polylogarithms and the multi-Regge limit
• Pulling the straps of polygons
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• Exciting the GKP string at any coupling
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• BFKL equation for the adjoint representation of the gauge group in the next-to-leading approximation at N=4 SUSY
• OPE for all Helicity Amplitudes
• Adjoint BFKL at finite coupling: a short-cut from the collinear limit
• Bootstrapping Null Polygon Wilson Loops
• BFKL approach and six-particle MHV amplitude in N=4 super Yang-Mills
• Hexagonal Wilson Loops in Planar $\mathcal{N}=4$ SYM Theory at Finite Coupling
• Nonsinglet pentagons and NMHV amplitudes
• OPE for all Helicity Amplitudes II. Form Factors and Data Analysis
• Fermionic pentagons and NMHV hexagon
• BFKL approach and 2->5 MHV amplitude
• Quantum mechanics of null polygonal Wilson loops
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• MHV amplitude for 3->3 gluon scattering in Regge limit
• Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory at multi-Regge kinematics: Conformal Regge pole contribution
• Hexagon OPE Resummation and Multi-Regge Kinematics
• On factorization of multiparticle pentagons
• Wilson loop OPE, analytic continuation and multi-Regge limit
• The six-point remainder function to all loop orders in the multi-Regge limit
• Multi-Regge Limit of the n-Gluon Bubble Ansatz
• OPE for Super Loops
• On the scattering over the GKP vacuum
• Towards single-valued polylogarithms in two variables for the seven-point remainder function in multi-Regge-kinematics
• Heptagon Amplitude in the Multi-Regge Regime
• The Excited Hexagon Reloaded
• The Two-Loop Symbol of all Multi-Regge Regions
• Towards NMHV amplitudes at strong coupling
• Strong Wilson polygons from the lodge of free and bound mesons
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling

Cited by in corpus (3)

• Fermionic Glauber Operators and Quark Reggeization
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills