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Published June 2017 | Submitted + Published
Journal Article Open

Prescriptive Unitarity

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 N^kMHV) 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.

Additional Information

© 2017 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: April 28, 2017; Accepted: June 4, 2017; Published: June 12, 2017. We gratefully acknowledge Zvi Bern for insightful comments on the manuscript and thank JJ Carrasco and JJ Stankowicz for helpful discussions. This work was supported in part by the National Science Foundation under Grant No. NSF PHY-1125915; by the Danish National Research Foundation (DNRF91) and a grant from the Villum Fonden (JLB); and by a grant from the Gordon and Betty Moore Foundation and by DOE Grant No. DE-SC0011632 (EH).

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Published - art_3A10.1007_2FJHEP06_282017_29059.pdf

Submitted - 1704.05460.pdf

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