On the two-loop hexagon Wilson loop remainder function in N=4 SYM

Abstract

A duality relation has been proposed between the planar gluon MHV amplitudes and light-like Wilson loops in N=4 super Yang-Mills. At six-point two-loop, the results for the planar gluon MHV amplitude and for the light-like Wilson loop agree, but they both differ from the Bern-Dixon-Smirnov ansatz by a finite remainder function. Recently Del Duca, Duhr and Smirnov presented an analytical result for the two-loop hexagon Wilson loop remainder function in general kinematics. Their result is rather lengthy, and the dependence on the conformal cross ratios appears in a complicated way. Here we present an alternate, more compact representation for the two-loop hexagon Wilson loop remainder function.

12 pages

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• Classical Polylogarithms for Amplitudes and Wilson Loops
• An Operator Product Expansion for Polygonal null Wilson Loops
• Generic multiloop methods and application to N=4 super-Yang-Mills
• More loops and legs in Higgs-regulated N=4 SYM amplitudes
• Analytic Results for MHV Wilson Loops
• A simple collinear limit of scattering amplitudes at strong coupling
• Six-point gluon scattering amplitudes from Z_4-symmetric integrable model
• Cluster algebras in scattering amplitudes with special 2D kinematics
• Holonomies of gauge fields in twistor space 4: functional MHV rules and one-loop amplitudes
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities