TY - JOUR
T1 - Prescriptive unitarity with elliptic leading singularities
AU - Bourjaily, Jacob L.
AU - Kalyanapuram, Nikhil
AU - Langer, Cameron
AU - Patatoukos, Kokkimidis
N1 - 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.
PY - 2021/12/15
Y1 - 2021/12/15
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.104.125009
DO - 10.1103/PhysRevD.104.125009
M3 - Article
AN - SCOPUS:85122038930
SN - 2470-0010
VL - 104
JO - Physical Review D
JF - Physical Review D
IS - 12
M1 - 125009
ER -