Eighth-order magnetic moment of the electron. II. Fourth-order vertices containing second- and fourth-order vacuum polarization subdiagrams

Abstract

We have calculated the eighth-order contribution to the anomalous magnetic moment of the electron arising from 54 Feynman diagrams obtained by inserting second- and fourth-order vacuum polarization loops in the fourth-order vertex diagrams. Our result is $-0.5238\mathrm{}\left(10\right)\mathrm{}{\left(\frac{\alpha }{\pi }\right)}^4$. The theoretical error represents the estimated accuracy (90% confidence limit) of the required numerical integrations.