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Journal of High Energy Physics

, Volume 2017, Issue 6, pp 1–54

First Online: 12 June 2017Received: 28 April 2017Accepted: 04 June 2017DOI: 10.1007-JHEP062017059

Cite this article as: Bourjaily, J.L., Herrmann, E. & Trnka, J. J. High Energ. Phys. 2017 2017: 1. doi:10.1007-JHEP062017059 Abstract

We introduce a prescriptive approach to generalized unitarity, resulting in a strictly-diagonal basis of loop integrands with coefficients given by specifically-tailored residues in field theory. We illustrate the power of this strategy in the case of planar, maximally supersymmetric Yang-Mills theory SYM, where we construct closed-form representations of all n-point NMHV scattering amplitudes through three loops. The prescriptive approach contrasts with the ordinary description of unitarity-based methods by avoiding any need for linear algebra to determine integrand coefficients. We describe this approach in general terms as it should have applications to many quantum field theories, including those without planarity, supersymmetry, or massless spectra defined in any number of dimensions.

Keywords1-N Expansion Extended Supersymmetry Scattering Amplitudes ArXiv ePrint: 1704.05460

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Author: Jacob L. Bourjaily - Enrico Herrmann - Jaroslav Trnka



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