Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Preprint 2013-04


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


Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2013-04


MSC 2000:


Abstract: 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.