The renormalization group inspired approaches and estimates of the tenth-order corrections to the muon anomaly in QED

Abstract

We present the estimates of the five-loop QED corrections to the muon anomaly using the scheme-invariant approaches and demonstrate that they are in good agreement with the results of exact calculations of the corresponding tenth-order diagrams supplemented by the additional guess about the values of the non-calculated contributions.

LATEX 15 pages, figures available upon request; preprint CERN-TH.7518/94

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• Results and Techniques of Multi-Loop Calculations
• Precise mass-dependent QED contributions to leptonic g-2 at order alpha^2 and alpha^3
• Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rules
• Estimations of Order alpha_s^3 and alpha_s^4 Corrections to Mass-Dependent Observables
• Bilocal expansion of the Borel amplitude and the hadronic tau decay width
• Electron, muon and tau magnetic moments: a theoretical update
• Reconsidered estimates of the 10th order QED contributions to the muon anomaly
• Asymptotic Improvement of Resummation and Perturbative Predictions in Quantum Field Theory
• The absence of QCD $\beta$-function factorization property of the generalized Crewther relation in the 't Hooft $\overline{MS}$-based scheme
• Resummations of free energy at high temperature
• Extraction of alpha_s from the Gross--Llewellyn Smith sum rule using Borel resummation
• The improved 10th order QED expression for a_μ : new results and related estimates