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Fourth-order vacuum polarization contribution to the sixth-order electron magnetic moment

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TLDR
The contribution of fourth-order vacuum polarization to sixth-order radiative correction to the electron magnetic moment is analytically evaluated and found to be 0,055(α/π)3 as mentioned in this paper.
Abstract
The contribution of fourth-order vacuum polarization to sixth-order radiative correction to the electron magnetic moment is analytically evaluated and found to be 0,055(α/π)3.

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The muon g ― 2

TL;DR: In this article, the authors present a review of the status of the theoretical prediction and in particular discuss the role of the hadronic vacuum polarization effects and hadronic light-by-light scattering correction, including a new evaluation of the dominant pion exchange contribution.
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Harmonic sums and Mellin transforms up to two-loop order

TL;DR: In this article, a systematic study on the finite harmonic sums up to level four was performed, and the authors derived algebraic relations connecting these sums to obtain representations based on a reduced set of basic functions.
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Predictions for g-2 of the muon and alpha(QED)(M-Z(2))

TL;DR: In this article, a wide variety of data for the e+e−production of hadrons and their uncertainties were combined to obtain the optimum form of R(s)[equivalent]sigmahad0(s)/sigmapt(s), together with its uncertainty.
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On High Order Estimates in QED

TL;DR: In this article, it was shown that there are single gauge invariant diagrams contributing to the leptonic g − 2 for which the amplitude grows like n! in the n 'th order.
References
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Journal ArticleDOI

Fourth-Order Corrections in Quantum Electrodynamics and the Magnetic Moment of the Electron

TL;DR: The covariant S matrix formalism of Dyson has been applied to the calculation of the fourth-order radiative correction to the magnetic moment of the electron in this paper, and the results for the covariant Δ-functions which describe the interaction of virtual electrons and photons with the vacuum are given to order α.
Journal ArticleDOI

Fourth-order corrections in quantum electrodynamics and the magnetic moment of the electrons

TL;DR: The covariant $S$ matrix formalism of Dyson has been applied to the calculation of the fourth-order radiative correction to the magnetic moment of the electron as discussed by the authors.
Journal ArticleDOI

Anomalous Magnetic Moment of the Electron, Muon, and Nucleon

TL;DR: The anomalous magnetic moment of the electron was computed using dispersion theory in this paper, where the anomalous moment was derived from the low-energy behavior of the photon system near the threshold of the absorptive amplitude.