Heptagon Amplitude in the Multi-Regge Regime

Abstract

As we have shown in previous work, the high energy limit of scattering amplitudes in N=4 supersymmetric Yang-Mills theory corresponds to the infrared limit of the 1-dimensional quantum integrable system that solves minimal area problems in AdS5. This insight can be developed into a systematic algorithm to compute the strong coupling limit of amplitudes in the multi-Regge regime through the solution of auxiliary Bethe Ansatz equations. We apply this procedure to compute the scattering amplitude for n=7 external gluons in different multi-Regge regions at infinite 't Hooft coupling. Our formulas are remarkably consistent with the expected form of 7-gluon Regge cut contributions in perturbative gauge theory. A full description of the general algorithm and a derivation of results will be given in a forthcoming paper.

arXiv comment14 pages

References in corpus (17)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Gluon scattering amplitudes at strong coupling
• Classical Polylogarithms for Amplitudes and Wilson Loops
• High energy QCD as a completely integrable model
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• Space-time S-matrix and Flux-tube S-matrix at Finite Coupling
• Bootstrapping the three-loop hexagon
• Thermodynamic Bubble Ansatz
• Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
• 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
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• BFKL equation for the adjoint representation of the gauge group in the next-to-leading approximation at N=4 SUSY
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• Multi-Regge Limit of the n-Gluon Bubble Ansatz

Cited by in corpus (15)

• A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• An analytic result for the two-loop seven-point MHV amplitude in N=4 SYM
• All-order amplitudes at any multiplicity in the multi-Regge limit
• Hexagon OPE Resummation and Multi-Regge Kinematics
• Wilson loop OPE, analytic continuation and multi-Regge limit
• Cross-Order Integral Relations from Maximal Cuts
• The Two-Loop Symbol of all Multi-Regge Regions
• Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory in multi-Regge kinematics: Conformal Regge cut contribution
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• Systematics of the Multi-Regge Three-Loop Symbol
• On a residual freedom of the next-to-leading BFKL eigenvalue in color adjoint representation in planar $\mathcal{N}=4$ SYM
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• The Multi-Regge Limit from the Wilson Loop OPE
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills