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A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
James M. Drummond, Georgios Papathanasiou, Marcus Spradlin
Seven-particle scattering amplitudes in planar super-Yang-Mills theory are believed to belong to a special class of generalised polylogarithm functions called heptagon functions. T…
A Cluster Bootstrap for Two-Loop MHV Amplitudes
John Golden, Marcus Spradlin
We apply a bootstrap procedure to two-loop MHV amplitudes in planar N=4 super-Yang-Mills theory. We argue that the mathematically most complicated part (the coproduct com…
An analytic result for the two-loop seven-point MHV amplitude in N=4 SYM
John Golden, Marcus Spradlin
We describe a general algorithm which builds on several pieces of data available in the literature to construct explicit analytic formulas for two-loop MHV amplitudes in N=4 super-…
Cluster Polylogarithms for Scattering Amplitudes
John Golden, Miguel F. Paulos, Marcus Spradlin +1
Motivated by the cluster structure of two-loop scattering amplitudes in N=4 Yang-Mills theory we define "cluster polylogarithm functions". We find that all such functions of weight…