Prescriptive unitarity with elliptic leading singularities

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  • Jacob L. Bourjaily
  • Nikhil Kalyanapuram
  • Cameron Langer
  • Kokkimidis Patatoukos

We investigate the consequences of elliptic leading singularities for the unitarity-based representations of two-loop amplitudes in planar, maximally supersymmetric Yang-Mills theory. We show that diagonalizing with respect to these leading singularities ensures that the integrand basis is termwise pure (suitably generalized, to the elliptic multiple polylogarithms, as necessary). We also investigate an alternative strategy based on diagonalizing a basis of integrands on differential forms; this strategy, while neither termwise Yangian-invariant nor pure, offers several advantages in terms of complexity.

OriginalsprogEngelsk
Artikelnummer125009
TidsskriftPhysical Review D
Vol/bind104
Udgave nummer12
Antal sider17
ISSN2470-0010
DOI
StatusUdgivet - 2021

Bibliografisk note

Funding Information:
The authors gratefully acknowledge fruitful contributions from Marcus Spradlin during the early stages of this work, and for fruitful conversations with Nima Arkani-Hamed, Song He, Enrico Herrmann, Jaroslav Trnka, and Cristian Vergu. This work was performed in part at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611, and the Harvard Center of Mathematical Sciences and Applications. This project has been supported by an ERC Starting Grant (No. 757978), a grant from the Villum Fonden (No. 15369), and by a grant from the Simons Foundation (No. 341344, LA) (J. L. B.).

Publisher Copyright:
© 2021 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

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