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Analytic form of the two-loop planar five-gluon all-plus-helicity amplitude in QCD


Gehrmann, T; Henn, J M; Lo Presti, N A (2016). Analytic form of the two-loop planar five-gluon all-plus-helicity amplitude in QCD. Physical Review Letters, 116(6):189903.

Abstract

Virtual two-loop corrections to scattering amplitudes are a key ingredient to precision physics at collider experiments. We compute the full set of planar master integrals relevant to five-point functions in massless QCD, and use these to derive an analytical expression for the two-loop five-gluon all-plus-helicity amplitude. After subtracting terms that are related to the universal infrared and ultraviolet pole structure, we obtain a remarkably simple and compact finite remainder function, consisting only of dilogarithms.

Abstract

Virtual two-loop corrections to scattering amplitudes are a key ingredient to precision physics at collider experiments. We compute the full set of planar master integrals relevant to five-point functions in massless QCD, and use these to derive an analytical expression for the two-loop five-gluon all-plus-helicity amplitude. After subtracting terms that are related to the universal infrared and ultraviolet pole structure, we obtain a remarkably simple and compact finite remainder function, consisting only of dilogarithms.

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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
Language:English
Date:2016
Deposited On:30 Dec 2016 07:17
Last Modified:19 Aug 2018 05:58
Publisher:American Physical Society
ISSN:0031-9007
OA Status:Green
Publisher DOI:https://doi.org/10.1103/PhysRevLett.116.062001
Other Identification Number:arXiv:1511.05409
Project Information:
  • : FunderFP7
  • : Grant ID340983
  • : Project TitleMCATNNLO - High Precision Simulation of particle collisions at the LHC

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