Proper Eighth-Order Vacuum-Polarization Function and its Contribution to the Tenth-Order Lepton g-2
arXiv:1012.5569 · doi:10.1103/PhysRevD.83.053003
Abstract
This paper reports the Feynman-parametric representation of the vacuum-polarization function consisting of 105 Feynman diagrams of the eighth order, and its contribution to the gauge-invariant set called Set I(i) of the tenth-order lepton anomalous magnetic moment. Numerical evaluation of this set is carried out using FORTRAN codes generated by an automatic code generation system gencodevpN developed specifically for this purpose. The contribution of diagrams containing electron loop to the electron g-2 is 0.017 47 (11) (alpha/pi)^5. The contribution of diagrams containing muon loop is 0.000 001 67 (3) (alpha/pi)^5. The contribution of tau-lepton loop is negligible at present. The sum of all these terms is 0.017 47 (11) (alpha/pi)^5. The contribution of diagrams containing electron loop to the muon g-2 is 0.087 1 (59) (alpha/pi)^5. That of tau-lepton loop is 0.000 237 (1) (alpha/pi)^5. The total contribution to a_mu, the sum of these terms and the mass-independent term, is 0.104 8 (59) (alpha/pi)^5.
48 pages, 6 figures. References are corrected
References in corpus (11)
- Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ)
- 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?
- 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
- Tenth-Order QED contribution to Lepton Anomalous Magnetic Moment - Fourth-Order Vertices Containing Sixth-Order Vacuum-Polarization Subdiagrams
- 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
- New Results in Four and Five Loop QED calculations
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- The relation between the QED charge renormalized in MSbar and on-shell schemes at four loops, the QED on-shell beta-function at five loops and asymptotic contributions to the muon anomaly at five and six loops
- Tenth-Order QED Lepton Anomalous Magnetic Moment --- Eighth-Order Vertices Containing a Second-Order Vacuum Polarization
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