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.

Highlights

  • The previous stage of the Standard Model theoretical prediction ateh = aQe ED + ae(hadrons) + ae(weak)

  • 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 ae 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, PACS numbers: 13.40.Em, 14.60.Cd; 12.20.Ds

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Summary

Introduction

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 result of evaluation of the final, most complicated Set V, together with more detailed numerical calculation of the eighth-order contribution to ae, was reported recently in Ref.

Results
Conclusion

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