Tenth-Order Lepton Anomalous Magnetic Moment -- Second-Order Vertex Containing Two Vacuum Polarization Subdiagrams, One Within the Other

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dc.creatorAoyama, T.
dc.creatorHayakawa, M.
dc.creatorKinoshita, T.
dc.creatorNio, M.
dc.date2008-10-29
dc.date2008-12-17
dc.date.accessioned2026-07-07T12:27:03Z
dc.date.available2026-07-07T12:27:03Z
dc.descriptionThis paper reports the tenth-order QED contribution to the g-2 of electron and muon from two gauge-invariant sets, Set I(g) and Set I(h). In the case of electron g-2 Set I(g) consists of 9 Feynman diagrams which have a 4th-order vacuum-polarization loop containing another 4th-order vacuum-polarization loop. Set I(h) consists of 30 Feynman diagrams which have a proper 6th-order vacuum-polarization loop containing a second-order vacuum-polarization loop. The results of numerical integration, including mass-dependent terms containing one closed loop of muon, are 0.028 597 (4) (alpha/pi)^5 for Set I(g) and 0.001 685 (13) (alpha/pi)^5 for Set I(h), respectively. We also report the contributions of Set I(g) and Set I(h) to the muon anomaly. Diagrams included are those containing electron, muon, and tau-lepton loops. Their sums are 2.640 9 (4) (alpha/pi)^5 and -0.564 8 (11) (alpha/pi)^5, respectively. The sum of contributions of Sets I(g) and I(h) containing only electron loops are in fair agreement with the recently obtained asymptotic analytic results.
dc.description15 pages, 2 figures. References are added
dc.identifierhttps://arxiv.org/abs/0810.5208
dc.identifierhttp://arxiv.org/abs/0810.5208
dc.identifierPhys.Rev.D78:113006,2008
dc.identifierdoi:10.1103/PhysRevD.78.113006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215081
dc.subjectHigh Energy Physics - Phenomenology
dc.titleTenth-Order Lepton Anomalous Magnetic Moment -- Second-Order Vertex Containing Two Vacuum Polarization Subdiagrams, One Within the Other
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