New Results on the Hadronic Contributions to alpha(M_Z) and to (g-2)_mu

Abstract

We reevaluate the dispersion integrals of the leading order hadronic contributions to the running of the QED fine structure constant alpha(s) at s=M_Z^2, and to the anomalous magnetic moments of the muon and the electron. Finite-energy QCD sum rule techniques complete the data from e+e- annihilation and tau decays at low energy and at the cc-bar threshold. Global quark-hadron duality is assumed in order to resolve the integrals using the Operator Product Expansion wherever it is applicable. We obtain delta_alpha_had(M_Z) = (276.3 +/- 1.6)x10^{-4} yielding alpha^{-1}(M_Z) = 128.933 +/- 0.021, and a_mu^had = (692.4 +/- 6.2)x10^{-10} with which we find for the complete Standard Model prediction a_mu^SM = (11659159.6 +/- 6.7)x10^{-10}. For the electron, the hadronic contribution reads a_e^had = (187.5 +/- 1.8)x10^{-14}.

16 pages, 3 figures

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• Hadronic contributions to $(g-2)$ of the leptons and to the effective fine structure constant $\alpha (M_Z^2)$
• Three-Loop Polarization Function and $\mathcal{O}({\alpha }_s^2)$ Corrections to the Production of Heavy Quarks
• Analysis of the Hadronic Light-by-Light Contributions to the Muon $g-2$
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• Higher-Order Hadronic Contributions to the Anomalous Magnetic Moment of Leptons
• Electroweak Fermion-loop Contributions to the Muon Anomalous Magnetic Moment
• Leptonic contribution to the effective electromagnetic coupling constant up to three loops
• Improved Determination of alpha_QED(M_Z^2) and the Anomalous Magnetic Moment of the Muon
• Improved Determination of $\alpha (M_{\mathrm{Z}}^2$) and the Anomalous Magnetic Moment of the Muon
• Two--Loop Electroweak Corrections to the Muon g-2: a new class of Hadronic Contributions
• A theory driven analysis of the effective QED coupling at $M_Z$
• A determination of the QED coupling at the $Z$ pole
• Reevaluation of the Hadronic Contribution to $\alpha (M_Z^2)$ (revised)
• Reevaluation of the Hadronic Contribution to $\alpha (M_Z^2)$
• Bottom quark mass and alpha_s from the Upsilon system
• QCD Sum Rule Determination of $\alpha (M_Z)$ with Minimal Data Input
• The Lowest Order Hadronic Contribution to the Muon $g-2$ Value with Systematic Error Correlations

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