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Title: Prescriptive unitarity for non-planar six-particle amplitudes at two loops

Abstract

We extend the applications of prescriptive unitarity beyond the planar limit to provide local, polylogarithmic, integrand-level representations of six-particle MHV scattering amplitudes in both maximally supersymmetric Yang-Mills theory and gravity. The integrand basis we construct is diagonalized on a spanning set of non-vanishing leading singularities that ensures the manifest matching of all soft-collinear singularities in both theories. As a consequence, this integrand basis naturally splits into infrared-finite and infrared-divergent parts, with hints toward an integrand-level exponentiation of infrared divergences. Importantly, we use the same basis of integrands for both theories, so that the presence or absence of residues at infinite loop momentum becomes a feature detectable by inspecting the cuts of the theory. Complete details of our results are provided as sup- plementary material.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [3];  [4];  [3]
  1. Univ. of Copenhagen (Denmark). The Niels Bohr Inst.; Harvard Univ., Cambridge, MA (United States). Jefferson Physical Lab.
  2. Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  3. Univ. of California, Davis, CA (United States). Center for Quantum Mathematics and Physics (QMAP)
  4. Univ. of Copenhagen (Denmark). The Niels Bohr Inst
Publication Date:
Research Org.:
Univ. of California, Davis, CA (United States); Stanford Univ., CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Simons Foundation
Contributing Org.:
Aspen Center for Physics
OSTI Identifier:
1600516
Grant/Contract Number:  
SC0009999; PHY-1607611; AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 12; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Extended Supersymmetry; Scattering Amplitudes; Supergravity Models

Citation Formats

Bourjaily, Jacob L., Herrmann, Enrico, Langer, Cameron, McLeod, Andrew J., and Trnka, Jaroslav. Prescriptive unitarity for non-planar six-particle amplitudes at two loops. United States: N. p., 2019. Web. https://doi.org/10.1007/JHEP12(2019)073.
Bourjaily, Jacob L., Herrmann, Enrico, Langer, Cameron, McLeod, Andrew J., & Trnka, Jaroslav. Prescriptive unitarity for non-planar six-particle amplitudes at two loops. United States. https://doi.org/10.1007/JHEP12(2019)073
Bourjaily, Jacob L., Herrmann, Enrico, Langer, Cameron, McLeod, Andrew J., and Trnka, Jaroslav. Tue . "Prescriptive unitarity for non-planar six-particle amplitudes at two loops". United States. https://doi.org/10.1007/JHEP12(2019)073. https://www.osti.gov/servlets/purl/1600516.
@article{osti_1600516,
title = {Prescriptive unitarity for non-planar six-particle amplitudes at two loops},
author = {Bourjaily, Jacob L. and Herrmann, Enrico and Langer, Cameron and McLeod, Andrew J. and Trnka, Jaroslav},
abstractNote = {We extend the applications of prescriptive unitarity beyond the planar limit to provide local, polylogarithmic, integrand-level representations of six-particle MHV scattering amplitudes in both maximally supersymmetric Yang-Mills theory and gravity. The integrand basis we construct is diagonalized on a spanning set of non-vanishing leading singularities that ensures the manifest matching of all soft-collinear singularities in both theories. As a consequence, this integrand basis naturally splits into infrared-finite and infrared-divergent parts, with hints toward an integrand-level exponentiation of infrared divergences. Importantly, we use the same basis of integrands for both theories, so that the presence or absence of residues at infinite loop momentum becomes a feature detectable by inspecting the cuts of the theory. Complete details of our results are provided as sup- plementary material.},
doi = {10.1007/JHEP12(2019)073},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2019,
place = {United States},
year = {2019},
month = {12}
}

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    Works referencing / citing this record:

    All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops
    journal, March 2020