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
2013 Journal of High Energy Physics  
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.
doi:10.1007/jhep03(2013)162 fatcat:pm3yp4kfgzcpngxn7indpnkzr4