Systematic approximation of multi-scale Feynman integrals

  • Sophia Borowka
  • Thomas Gehrmann
  • Daniel HulmeEmail author
Open Access
Regular Article - Theoretical Physics


An algorithm for the systematic analytical approximation of multi-scale Feynman integrals is presented. The algorithm produces algebraic expressions as functions of the kinematical parameters and mass scales appearing in the Feynman integrals, allowing for fast numerical evaluation. The results are valid in all kinematical regions, both above and below thresholds, up to in principle arbitrary orders in the dimensional regulator. The scope of the algorithm is demonstrated by presenting results for selected two-loop threepoint and four-point integrals with an internal mass scale that appear in the two-loop amplitudes for Higgs+jet production.


Perturbative QCD Scattering Amplitudes 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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© The Author(s) 2018

Authors and Affiliations

  1. 1.Theoretical Physics DepartmentCERNGeneva 23Switzerland
  2. 2.Physik-InstitutUniversität ZürichZürichSwitzerland

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