Prescriptive unitarity with elliptic leading singularities

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Prescriptive unitarity with elliptic leading singularities. / Bourjaily, Jacob L.; Kalyanapuram, Nikhil; Langer, Cameron; Patatoukos, Kokkimidis.

In: Physical Review D, Vol. 104, No. 12, 125009, 2021.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Bourjaily, JL, Kalyanapuram, N, Langer, C & Patatoukos, K 2021, 'Prescriptive unitarity with elliptic leading singularities', Physical Review D, vol. 104, no. 12, 125009. https://doi.org/10.1103/PhysRevD.104.125009

APA

Bourjaily, J. L., Kalyanapuram, N., Langer, C., & Patatoukos, K. (2021). Prescriptive unitarity with elliptic leading singularities. Physical Review D, 104(12), [125009]. https://doi.org/10.1103/PhysRevD.104.125009

Vancouver

Bourjaily JL, Kalyanapuram N, Langer C, Patatoukos K. Prescriptive unitarity with elliptic leading singularities. Physical Review D. 2021;104(12). 125009. https://doi.org/10.1103/PhysRevD.104.125009

Author

Bourjaily, Jacob L. ; Kalyanapuram, Nikhil ; Langer, Cameron ; Patatoukos, Kokkimidis. / Prescriptive unitarity with elliptic leading singularities. In: Physical Review D. 2021 ; Vol. 104, No. 12.

Bibtex

@article{436160ce78ab4fa08bf137c282ea69f1,
title = "Prescriptive unitarity with elliptic leading singularities",
abstract = "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.",
author = "Bourjaily, {Jacob L.} and Nikhil Kalyanapuram and Cameron Langer and Kokkimidis Patatoukos",
note = "Publisher Copyright: {\textcopyright} 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.",
year = "2021",
doi = "10.1103/PhysRevD.104.125009",
language = "English",
volume = "104",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "12",

}

RIS

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

Y1 - 2021

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.

U2 - 10.1103/PhysRevD.104.125009

DO - 10.1103/PhysRevD.104.125009

M3 - Journal article

AN - SCOPUS:85122038930

VL - 104

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 12

M1 - 125009

ER -

ID: 306892426