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 a_μ⁽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)(απ)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 a_μ. 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 a_μQED=1165846947(46)(28)×10^-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 a_μ available at present is a_μᵗʰᵉᵒʳʸ=116591920(191)×10^-11, where the error comes predominantly from the hadronic contribution.