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All Master Integrals for Three-Jet Production at Next-to-Next-to-Leading Order


Chicherin, D; Gehrmann, Thomas; Henn, J M; Wasser, P; Zhang, Y; Zoia, S (2019). All Master Integrals for Three-Jet Production at Next-to-Next-to-Leading Order. Physical Review Letters, 123(4):041603.

Abstract

We evaluate analytically all previously unknown nonplanar master integrals for massless five-particle scattering at two loops, using the differential equations method. A canonical form of the differential equations is obtained by identifying integrals with constant leading singularities, in D space-time dimensions. These integrals evaluate to Q-linear combinations of multiple polylogarithms of uniform weight at each order in the expansion in the dimensional regularization parameter and are in agreement with previous conjectures for nonplanar pentagon functions. Our results provide the complete set of two-loop Feynman integrals for any massless 2→3 scattering process, thereby opening up a new level of precision collider phenomenology.

Abstract

We evaluate analytically all previously unknown nonplanar master integrals for massless five-particle scattering at two loops, using the differential equations method. A canonical form of the differential equations is obtained by identifying integrals with constant leading singularities, in D space-time dimensions. These integrals evaluate to Q-linear combinations of multiple polylogarithms of uniform weight at each order in the expansion in the dimensional regularization parameter and are in agreement with previous conjectures for nonplanar pentagon functions. Our results provide the complete set of two-loop Feynman integrals for any massless 2→3 scattering process, thereby opening up a new level of precision collider phenomenology.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > General Physics and Astronomy
Uncontrolled Keywords:General Physics and Astronomy
Language:English
Date:25 July 2019
Deposited On:30 Oct 2019 14:47
Last Modified:29 Jul 2020 11:33
Publisher:American Physical Society
ISSN:0031-9007
OA Status:Hybrid
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1103/physrevlett.123.041603
Project Information:
  • : FunderH2020
  • : Grant ID725110
  • : Project TitleAMPLITUDES - Novel structures in scattering amplitudes

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