The Analytical Contribution of Some Eighth-Order Graphs Containing Vacuum Polarization Insertions to the Muon (G-2) in QED

Abstract

The contributions to the $g-2$ of the muon from some eighth-order (four-loop) graphs containing one-loop and two-loop vacuum polarization insertions have been evaluated analytically in QED perturbation theory, expanding the results in the ratio of the electron to muon mass $(m_e/m_{\mu })$. The results agree with the numerical evaluations and the asymptotic analytical results already existing in the literature.

Comments: plain TEX, 10 pages + 3 figures (figures are available upon request), DFUB 93-06