The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory

Abstract

We present an explicit analytic calculation of the differential of the planar n-particle, two-loop MHV scattering amplitude in N=4 super Yang-Mills theory. The result is expressed only in terms of the polylogarithm functions Li_k(-x), for k=1,2,3, with arguments x belonging to the special class of dual conformal cross-ratios known as cluster X-coordinates. The surprising fact that these amplitudes may be expressed in this way provides a striking example of the manner in which the cluster structure on the kinematic configuration space underlies the structure of amplitudes in SYM theory.

10 pages. v2: typos corrected, some formulas replaced with more concise versions. v3: discussion of parity added, other minor additions based on JHEP reviewer comments

References in corpus (3)

• Classical Polylogarithms for Amplitudes and Wilson Loops
• Motivic Amplitudes and Cluster Coordinates
• Analytic Results for MHV Wilson Loops

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