Classical Polylogarithms for Amplitudes and Wilson Loops

Details Classical Polylogarithms for Amplitudes and Wilson Loops Classical Polylogarithms for Amplitudes and Wilson Loops

2010-06-29

arxiv.org/abs/1006.5703v2

Phys.Rev.Lett.105:151605,2010

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, v2: journal version, minor corrections and simplifications, additional details available at http://goo.gl/Cl0y

Scientific paper

10.1103/PhysRevLett.105.151605

We present a compact analytic formula for the two-loop six-particle MHV remainder function (equivalently, the two-loop light-like hexagon Wilson loop) in N = 4 supersymmetric Yang-Mills theory in terms of the classical polylogarithm functions Li_k with cross-ratios of momentum twistor invariants as their arguments. In deriving our result we rely on results from the theory of motives.

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