Summary
The contribution to theg-2 of the muon from the sixth-order (three loops) Feynman graphs with vacuum polarization insertions in QED perturbation theory has been evaluated in closed analytical form as a function of the ratio of the lepton massesm e/m μ andm τ/m μ. The result agrees with the numerical evaluations and with most of the analytical expressions already existing in the literature. The disagreements with some previous analytical results are shown and commented.
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Laporta, S. The analytical contribution of the sixth-order graphs with vacuum polarization insertions to the muon (g-2) in QED. Nuov Cim A 106, 675–683 (1993). https://doi.org/10.1007/BF02787236
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DOI: https://doi.org/10.1007/BF02787236