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Analytic Form of the Full Two-Loop Five-Gluon All-Plus Helicity Amplitude


Badger, S; Chicherin, D; Gehrmann, Thomas; Heinrich, G; Henn, J M; Peraro, Tiziano; Wasser, P; Zhang, Y; Zoia, S (2019). Analytic Form of the Full Two-Loop Five-Gluon All-Plus Helicity Amplitude. Physical Review Letters, 123(7):071601.

Abstract

We compute the full-color two-loop five-gluon amplitude for the all-plus helicity configuration. In order to achieve this, we calculate the required master integrals for all permutations of the external legs, in the physical scattering region. We verify the expected divergence structure of the amplitude and extract the finite hard function. We further validate our result by checking the factorization properties in the collinear limit. Our result is fully analytic and valid in the physical scattering region. We express it in a compact form containing logarithms, dilogarithms, and rational functions.

Abstract

We compute the full-color two-loop five-gluon amplitude for the all-plus helicity configuration. In order to achieve this, we calculate the required master integrals for all permutations of the external legs, in the physical scattering region. We verify the expected divergence structure of the amplitude and extract the finite hard function. We further validate our result by checking the factorization properties in the collinear limit. Our result is fully analytic and valid in the physical scattering region. We express it in a compact form containing logarithms, dilogarithms, and rational functions.

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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
Uncontrolled Keywords:General Physics and Astronomy
Language:English
Date:13 August 2019
Deposited On:16 Oct 2019 14:33
Last Modified:16 Oct 2019 14:34
Publisher:American Physical Society
ISSN:0031-9007
OA Status:Green
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1103/physrevlett.123.071601
Project Information:
  • : FunderH2020
  • : Grant ID725110
  • : Project TitleAMPLITUDES - Novel structures in scattering amplitudes
  • : FunderH2020
  • : Grant ID746223
  • : Project TitleMPAmplitudes - Multi-particle scattering amplitudes for precision collider physics

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