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

Journal Article · · Journal of High Energy Physics (Online)
 [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
+ Show Author Affiliations

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.

Research Organization:
Univ. of California, Davis, CA (United States); Stanford Univ., CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Simons Foundation
Contributing Organization:
Aspen Center for Physics
Grant/Contract Number:
SC0009999; PHY-1607611; AC02-76SF00515
OSTI ID:
1600516
Journal Information:
Journal of High Energy Physics (Online), Vol. 2019, Issue 12; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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