Vacuum-Polarization Contributions to the Sixth-Order Anomalous Magnetic Moment of the Muon and Electron

Abstract
We report on the calculation of second-order vacuum-polarization contributions to the sixth-order electron and muon anomalous magnetic moments. With these results the difference of muon and electron moments has now been completely calculated through sixth order in quantum electrodynamics. The only remaining sixth-order contributions to the electron moment which have not been completely calculated are those graphs without fermion loop insertions.