Four-loop corrections with two closed fermion loops to fermion self energies and the lepton anomalous magnetic moment

  • Roman Lee
  • Peter Marquard
  • Alexander V. Smirnov
  • Vladimir A. Smirnov
  • Matthias Steinhauser


We compute the eighth-order fermionic corrections involving two and three closed massless fermion loops to the anomalous magnetic moment of the muon. The required four-loop on-shell integrals are classified and explicit analytical results for the master integrals are presented. As further applications we compute the corresponding four-loop QCD corrections to the mass and wave function renormalization constants for a massive quark in the on-shell scheme.


Electromagnetic Processes and Properties QCD Standard Model 


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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  • Roman Lee
    • 1
  • Peter Marquard
    • 2
  • Alexander V. Smirnov
    • 3
  • Vladimir A. Smirnov
    • 4
    • 5
  • Matthias Steinhauser
    • 2
  1. 1.Budker Institute of Nuclear Physics and Novosibirsk State UniversityNovosibirskRussia
  2. 2.Institut für Theoretische TeilchenphysikKarlsruhe Institute of Technology (KIT)KarlsruheGermany
  3. 3.Scientific Research Computing CenterMoscow State UniversityMoscowRussia
  4. 4.Skobeltsyn Institute of Nuclear PhysicsMoscow State UniversityMoscowRussia
  5. 5.Institut für MathematikHumboldt-Universität zu BerlinBerlinGermany

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