The Multi-Regge limit of NMHV Amplitudes in N=4 SYM Theory

Abstract

We consider the multi-Regge limit for N=4 SYM NMHV leading color amplitudes in two different formulations: the BFKL formalism for multi-Regge amplitudes in leading logarithm approximation, and superconformal N=4 SYM amplitudes. It is shown that the two approaches agree to two-loops for the 2->4 and 3->3 six-point amplitudes. Predictions are made for the multi-Regge limit of three loop 2->4 and 3->3 NMHV amplitudes, as well as a particular sub-set of two loop 2 ->2 +n N^kMHV amplitudes in the multi-Regge limit in the leading logarithm approximation from the BFKL point of view.

28 pages, 3 figures

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Cited by in corpus (23)

• Motivic Amplitudes and Cluster Coordinates
• Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
• Bootstrapping an NMHV amplitude through three loops
• A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
• Heptagons from the Steinmann Cluster Bootstrap
• Hexagon functions and the three-loop remainder function
• Six-Gluon Amplitudes in Planar $\mathcal{N}=4$ Super-Yang-Mills Theory at Six and Seven Loops
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• Adjoint BFKL at finite coupling: a short-cut from the collinear limit
• A Cluster Bootstrap for Two-Loop MHV Amplitudes
• How tropical are seven- and eight-particle amplitudes?
• All-order amplitudes at any multiplicity in the multi-Regge limit
• Hexagon OPE Resummation and Multi-Regge Kinematics
• The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
• Bootstrapping six-gluon scattering in planar $\mathcal{N}=4$ super-Yang-Mills theory
• The Two-Loop Remainder Function for Eight and Nine Particles
• 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
• The four-loop six-gluon NMHV ratio function
• All orders results for self-crossing Wilson loops mimicking double parton scattering
• On a residual freedom of the next-to-leading BFKL eigenvalue in color adjoint representation in planar $\mathcal{N}=4$ SYM
• Heptagon Functions and Seven-Gluon Amplitudes in Multi-Regge Kinematics
• The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes