The analytical contribution of some eighth-order graphs containing vacuum polarization insertions to the muon (g − 2) in QED

• DOI: 10.1016/0370-2693(93)90988-t
• Publication Date: 2002-11-12T05:43:13Z
• Authors: S. Laporta
• Keywords: Vacuum polarization; Mass ratio

plain TEX, 10 pages + 3 figures (figures are available upon request), DFUB 93-06<br/>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 ${(m_e / m_��)}$. The results agree with the numerical evaluations and the asymptotic analytical results already existing in the literature.<br/>