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DOE OSTI · 1454722

A cluster bootstrap for two-loop MHV amplitudes

Golden, John·Spradlin, Marcus
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Abstract

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 Λ 2 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). Finally, we present a concise, closed-form expression which manifests these properties for all n.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSScattering AmplitudesSupersymmetric gauge theory

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Golden, John, Spradlin, Marcus. 2015-02-02. A cluster bootstrap for two-loop MHV amplitudes. https://doi.org/10.1007/jhep02(2015)002

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