Massive three-loop form factor in the planar limit

  • Johannes Henn
  • Alexander V. Smirnov
  • Vladimir A. Smirnov
  • Matthias SteinhauserEmail author
Open Access
Regular Article - Theoretical Physics


We compute the three-loop QCD corrections to the massive quark-anti-quark-photon form factors F 1 and F 2 in the large-N c limit. The analytic results are expressed in terms of Goncharov polylogarithms. This allows for a straightforward numerical evaluation. We also derive series expansions, including power suppressed terms, for three kinematic regions corresponding to small and large invariant masses of the photon momentum, and small velocities of the heavy quarks.


NLO Computations QCD Phenomenology 


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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Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  • Johannes Henn
    • 1
  • Alexander V. Smirnov
    • 2
  • Vladimir A. Smirnov
    • 3
    • 4
  • Matthias Steinhauser
    • 4
    Email author
  1. 1.PRISMA Cluster of ExcellenceJohannes Gutenberg UniversityMainzGermany
  2. 2.Research Computing CenterMoscow State UniversityMoscowRussia
  3. 3.Skobeltsyn Institute of Nuclear Physics of Moscow State UniversityMoscowRussia
  4. 4.Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT)KarlsruheGermany

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