New results on the hadronic contributions to α(MZ2) and to (g−2)μ

1998/05/27 by M. Davier, Michel Davier, A. Hocker +1 · 15 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0370-2693(98)00825-9

published as Phys.Lett.B435:427-440,1998 · 16 pages, 3 figures

arxiv created 1998/05/27 · openalex publication_date 1998/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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_Z², 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.

Citations

• Bottom quark mass and αs from the ϒ system

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