Sixth-Order Radiative Corrections to the Electron Magnetic Moment

Abstract

We have calculated the contribution of fifty Feynman diagrams of the order ${\alpha }^3$ to the electron magnetic moment. Our result, $(1.02\mathrm{}\pm 0.04){\left(\frac{\alpha }{\pi }\right)}^3$, agrees with the result of Levine and Wright, and is about 5 times more accurate. Together with the contribution from the rest of the ${\alpha }^3$ diagrams calculated previously, the complete theoretical prediction for the electron anomaly up to the order ${\alpha }^3$ is $\frac{\alpha }{2\pi }-0.328\mathrm{}48{\left(\frac{\alpha }{\pi }\right)}^2+(1.29\mathrm{}\pm 0.06){\left(\frac{\alpha }{\pi }\right)}^3$, in good agreement with the latest experimental result.