Analytical eighth-order light-by-light QED contributions from leptons with heavier masses to the anomalous magnetic moment of electron

Abstract

The important consequences of the recent results of the numerical evaluations of eighth and tenth order QED contributions to the anomalous magnetic moment of electron are commented. The correctness of the results of the numerical evaluation of new eighth order QED corrections to the electron anomaly are supported by the demonstration of their consistency with the new analytical expressions for the QED contributions to $a_e$ from the diagrams with fourth-order light-by-light scattering muon and tau-lepton loops. The consistency of the similar results are demonstrated in the case of eighth order massive dependent contribution to the muon anomalous magnetic moment.

6 pages, LaTeX, The preliminary version of the longer work with the same title was registered as CERN Preprint during the visit to Theory Division of CERN in January of 2012

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• Revised and Improved Value of the QED Tenth-Order Electron Anomalous Magnetic Moment
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• Tenth-Order Electron Anomalous Magnetic Moment --- Contribution of Diagrams without Closed Lepton Loops
• GM2Calc: Precise MSSM prediction for $(g-2)$ of the muon
• Resolving electron and muon $g-2$ within the 2HDM
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• The three-loop QED contributions to the $g-2$ of charged leptons with two internal fermion loops and a class of Kampé de Fériet series
• Subtraction Procedure for Calculation of Anomalous Magnetic Moment of Electron in QED and its Application to Numerical Computation at 3-loop Level
• Probe of New Physics using Precision Measurement of the Electron Magnetic Moment