Abstract
We apply a bootstrap procedure to two-loop MHV amplitudes in planar \( \mathcal{N}=4 \) super-Yang-Mills theory. We argue that the mathematically most complicated part (the Λ2 B 2 coproduct component) of the n-particle amplitude is uniquely determined by a simple cluster algebra property together with a few physical constraints (dihedral symmetry, analytic structure, supersymmetry, and well-defined collinear limits). We present a concise, closed-form expression which manifests these properties for all n.
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Golden, J., Spradlin, M. A cluster bootstrap for two-loop MHV amplitudes. J. High Energ. Phys. 2015, 2 (2015). https://doi.org/10.1007/JHEP02(2015)002
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DOI: https://doi.org/10.1007/JHEP02(2015)002