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arxiv: 1006.5703 · v2 · pith:DZ2OW3GPnew · submitted 2010-06-29 · ✦ hep-th · math.AG

Classical Polylogarithms for Amplitudes and Wilson Loops

classification ✦ hep-th math.AG
keywords classicaltheorytwo-loopwilsonamplitudesanalyticargumentscompact
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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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