Eighth-order QED contribution to the anomalous magnetic moment of the muon

We report a calculation of the eighth-order QED contribution to the muon anomalous magnetic moment aμ(8) coming from 469 Feynman diagrams, all of which contain electron loops of vacuum-polarization type and/or light-by-light scattering type. Our result is 126.92(41)(α/π)4. The error represents the estimated accuracy (90% confidence limit) of the required numerical integration. We also report an estimate of the tenth-order contribution to aμ. Combining these with the lower-order results and the latest theoretical value for the electron anomaly ae, we find that the QED contribution to the muon anomaly is given by aμQED =1 165 846 947(46)(28)x10-12, where the first error is an estimate of theoretical uncertainty and the second reflects the measurement uncertainty in α. Including the hadronic and electroweak contributions, the best theoretical prediction for aμ available at present is aμtheory =116 591 920 (191)x10-11, where the error comes predominantly from the hadronic contribution