Tenth-Order QED contribution to Lepton Anomalous Magnetic Moment - Fourth-Order Vertices Containing Sixth-Order Vacuum-Polarization Subdiagrams

Abstract

This paper reports the tenth-order contributions to the g-2 of the electron a_e and those of the muon a_mu from the gauge-invariant Set II(c), which consists of 36 Feynman diagrams, and Set II(d), which consists of 180 Feynman diagrams. Both sets are obtained by insertion of sixth-order vacuum-polarization diagrams in the fourth-order anomalous magnetic moment. The mass-independent contributions from Set II(c) and Set II(d) are -0.116 489 (32)(alpha/pi)^5 and -0.243 00 (29)(alpha/pi)^5, respectively. The leading contributions to a_mu, which involve electron loops only, are -3.888 27 (90)(alpha/pi)^5 and 0.4972 (65)(alpha/pi)^5 for Set II(c) and Set II(d), respectively. The total contributions of the electron, muon, and tau-lepton loops to a_e are -0.116 874 (32) (alpha/pi)^5 for Set II(c) and -0.243 10 (29) (alpha/pi)^5 for Set II(d). The contributions of electron, muon, and tau-lepton loops to a_mu are -5.5594 (11) (alpha/pi)^5 for Set II(c) and 0.2465 (65) (alpha/pi)^5 for Set II(d).

29 pages, 5 figures. References are added

References in corpus (10)

• New determination of the fine structure constant and test of the quantum electrodynamics
• Revised value of the eighth-order electron g-2
• Revised value of the eighth-order QED contribution to the anomalous magnetic moment of the electron
• The Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment: Where do we stand?
• Muon Anomaly from Lepton Vacuum Polarization and The Mellin--Barnes Representation
• Eighth-Order Vacuum-Polarization Function Formed by Two Light-by-Light-Scattering Diagrams and its Contribution to the Tenth-Order Electron g-2
• Tenth-Order Lepton Anomalous Magnetic Moment -- Second-Order Vertex Containing Two Vacuum Polarization Subdiagrams, One Within the Other
• Reconsidered estimates of the 10th order QED contributions to the muon anomaly
• Tenth-order lepton g-2: Contribution of some fourth-order radiative corrections to the sixth-order g-2 containing light-by-light-scattering subdiagrams
• Automated Calculation Scheme for alpha^n Contributions of QED to Lepton g-2: New Treatment of Infrared Divergence for Diagrams without Lepton Loops

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• Causal approach for the electron-positron scattering in Generalized Quantum Electrodynamics
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• Stochastic computation of $g-2$ in QED
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