2012/01/12 by T. Aoyama, Tatsumi Aoyama, M. Hayakawa +3
Mathematics · Physics and Astronomy · #Anomalous magnetic dipole moment #Combinatorics #Dark Matter and Cosmic Phenomena #Electron #Feynman diagram #Graph #Lepton #Mathematical physics #Mathematics #Muon #Nuclear physics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering #Vertex (graph theory) #hep-ph
paper · pdf · doi:10.1103/physrevd.85.093013
24 pages, 4 figures
arxiv created 2012/01/12 · openalex publication_date 2012/05/21 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This paper reports the tenth-order QED contribution to the lepton g\ensuremath-2 from the gauge-invariant set, called Set III(c), which consists of 390 Feynman vertex diagrams containing an internal fourth-order light-by-light-scattering subdiagram. The mass-independent contribution of Set III(c) to the electron g\ensuremath-2 (ae) is 4.9210 (103) in units of (\ensuremathα/\ensuremathπ)5. The mass-dependent contributions to ae from diagrams containing a muon loop is 0.00370 (37) (\ensuremathα/\ensuremathπ)5. The tau-lepton loop contribution is negligible at present. Altogether the contribution of Set III(c) to ae is 4.9247 (104) (\ensuremathα/\ensuremathπ)5. We have also evaluated the contribution of the closed electron loop to the muon g\ensuremath-2 (a_\ensuremathμ). The result is 7.435 (134) (\ensuremathα/\ensuremathπ)5. The contribution of the tau-lepton loop to a_\ensuremathμ is 0.1999 (28) (\ensuremathα/\ensuremathπ)5. The total contribution of various leptonic loops (electron, muon, and tau-lepton) of Set III(c) to a_\ensuremathμ is 12.556 (135)(\ensuremathα/\ensuremathπ)5.