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Prescriptive Unitarity

Bourjaily, Jacob L. and Herrmann, Enrico and Trnka, Jaroslav (2017) Prescriptive Unitarity. Journal of High Energy Physics, 2017 (6). Art. No. 059. ISSN 1126-6708. doi:10.1007/JHEP06(2017)059.

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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.

Item Type:Article
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URLURL TypeDescription Paper
Bourjaily, Jacob L.0000-0002-3340-5667
Herrmann, Enrico0000-0002-3983-2993
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).
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Danish National Research FoundationDNRF91
Gordon and Betty Moore FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Subject Keywords:1/N Expansion; Extended Supersymmetry; Scattering Amplitudes
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Other Numbering System NameOther Numbering System ID
Issue or Number:6
Record Number:CaltechAUTHORS:20170427-142727226
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Official Citation:Bourjaily, J.L., Herrmann, E. & Trnka, J. J. High Energ. Phys. (2017) 2017: 1. doi:10.1007/JHEP06(2017)059
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77017
Deposited By: Joy Painter
Deposited On:27 Apr 2017 21:36
Last Modified:15 Nov 2021 17:04

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