Calculation of the Sixth-Order Contribution from the Fourth-Order Vacuum Polarization to the Difference of the Anomalous Magnetic Moments of Muon and Electron

Abstract

We present the details of a calculation of the sixth-order contribution to $\frac{1}{2}(g_{\mu }-g_e)$ from the proper fourth-order vacuum polarization. As a byproduct of this calculation, we have also obtained the finite part of the fourth-order contribution to the charge-renormalization constant $Z_3$.