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

TL;DR

This paper analytically evaluates eighth-order light-by-light QED contributions from heavier leptons to the electron's anomalous magnetic moment, confirming numerical results and providing consistency checks with analytical expressions.

Contribution

It presents new analytical calculations of eighth-order QED contributions from heavier leptons to the electron's magnetic moment, validating recent numerical evaluations.

Findings

Analytical expressions support numerical eighth-order QED results.

Consistency demonstrated between analytical and numerical evaluations.

Results confirm the accuracy of eighth-order light-by-light contributions from heavier leptons.

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.