Pulling the straps of polygons

Abstract

Using the Operator Product Expansion for Wilson loops we derive a simple formula giving the discontinuities of the two loop result in terms of the one loop answer. We also argue that the knowledge of these discontinuities should be enough to fix the full two loop answer, for a general number of sides. We work this out explicitly for the case of the hexagon and rederive the known result.

42 pages, 4 figures

References in corpus (9)

• Gluon scattering amplitudes at strong coupling
• Classical Polylogarithms for Amplitudes and Wilson Loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• An Operator Product Expansion for Polygonal null Wilson Loops
• Notes on the scattering amplitude / Wilson loop duality
• New differential equations for on-shell loop integrals
• Bootstrapping Null Polygon Wilson Loops
• Analytic Results for MHV Wilson Loops

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• The Multi-Regge limit of NMHV Amplitudes in N=4 SYM Theory
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• Symbology for elliptic multiple polylogarithms and the symbol prime
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