We discuss the recent claim [G. Mishima, arXiv:1311.7109; M. Fael and M. Passera, arXiv:1402.1575 [Phys. Rev. D (to be published)]] about discovery of a nonperturbative quantum-electrodynamic contribution of order (α/π)5 to lepton anomalous magnetic moments. We explain why this nonperturbative correction does not exist.
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This work was supported by the NSF Grant No. PHY-1066054.
M. Fael, M. Passera, "Positronium Contribution to the Electron G-2", published in Physical Review D: Particles, Fields, Gravitation, and Cosmology, v. 90, no. 5, article 056004, p. 1-4, DOI: http://dx.doi.org/10.1103/PhysRevD.90.056004
Mishima, Go, "Bound State Effect on the Electron G-2", available at http://arxiv.org/abs/1311.7109v1
Eides, Michael I., "Recent Ideas on the Calculation of Lepton Anomalous Magnetic Moments" (2014). Physics and Astronomy Faculty Publications. 312.