1301.6481 (Roman Lee et al.)

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

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.

View original: http://arxiv.org/abs/1301.6481