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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1016/0370-2693(93)90988-T

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.

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