Reconsidered estimates of the 10th order QED contributions to the muon anomaly

dc.creatorKataev, A. L.
dc.date2006-08-10
dc.date2006-10-04
dc.date.accessioned2026-07-07T10:25:16Z
dc.date.available2026-07-07T10:25:16Z
dc.descriptionThe problem of estimating the 10th order QED corrections to the muon anomalous magnetic moment is reconsidered. The incorporation of the recently improved contributions to the $α^4$ and $α^5$- corrections to $a_μ$ within the renormalization-group inspired scheme-invariant approach leads to the estimate $a_μ^{(10)}\approx 643(α/pi)^5$. It is in good agreement with the estimate $a_μ^{(10)}= 663(20) (α/π)^5$, obtained by Kinoshita and Nio from the numerical calculations of 2958 10-th order diagrams, which are considered to be more important than the still uncalculated 6122 10th-order $m_μ/m_e$-dependent vertex graphs, and 12672 5-loop diagrams, responsible for the mass-independent constant contribution both to $a_μ$ and $a_e$. This confirms Kinoshita and Nio guess about dominance of the 10-th order diagrams calculated by them. Comparisons with other estimates of the $α^5$- contributions to $a_μ$, which exist in the literature, are presented.
dc.description19 pages, LaTeX, some misprints in the text and literature corrected. Results unchaged, to appear in Phys.Rev.D
dc.identifierhttps://arxiv.org/abs/hep-ph/0608120
dc.identifierhttp://arxiv.org/abs/hep-ph/0608120
dc.identifierPhys.Rev.D74:073011,2006
dc.identifierdoi:10.1103/PhysRevD.74.073011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176484
dc.subjectHigh Energy Physics - Phenomenology
dc.titleReconsidered estimates of the 10th order QED contributions to the muon anomaly
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