Prescriptive unitarity
We introduce a prescriptive approach to generalized unitarity, resulting in a strictlydiagonal basis of loop integrands with coefficients given by specificallytailored residues in field theory. We illustrate the power of this strategy in the case of planar, maximally supersymmetric YangMills theory (SYM), where we construct closedform representations of all (npoint N k MHV) scattering amplitudes through three loops. The prescriptive approach contrasts with the ordinary description of unitaritybased 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.
 Authors:

^{[1]};
^{[2]};
^{[3]}
 Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics; Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
 California Inst. of Technology (CalTech), Pasadena, CA (United States); Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
 Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics; Univ. of California, Davis, CA (United States)
 Publication Date:
 Grant/Contract Number:
 SC0011632
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 6; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 California Inst. of Technology (CalTech), Pasadena, CA (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
 OSTI Identifier:
 1426866
Bourjaily, Jacob L., Herrmann, Enrico, and Trnka, Jaroslav. Prescriptive unitarity. United States: N. p.,
Web. doi:10.1007/JHEP06(2017)059.
Bourjaily, Jacob L., Herrmann, Enrico, & Trnka, Jaroslav. Prescriptive unitarity. United States. doi:10.1007/JHEP06(2017)059.
Bourjaily, Jacob L., Herrmann, Enrico, and Trnka, Jaroslav. 2017.
"Prescriptive unitarity". United States.
doi:10.1007/JHEP06(2017)059. https://www.osti.gov/servlets/purl/1426866.
@article{osti_1426866,
title = {Prescriptive unitarity},
author = {Bourjaily, Jacob L. and Herrmann, Enrico and Trnka, Jaroslav},
abstractNote = {We introduce a prescriptive approach to generalized unitarity, resulting in a strictlydiagonal basis of loop integrands with coefficients given by specificallytailored residues in field theory. We illustrate the power of this strategy in the case of planar, maximally supersymmetric YangMills theory (SYM), where we construct closedform representations of all (npoint N k MHV) scattering amplitudes through three loops. The prescriptive approach contrasts with the ordinary description of unitaritybased 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.},
doi = {10.1007/JHEP06(2017)059},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2017,
place = {United States},
year = {2017},
month = {6}
}