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

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 c (c) over 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(2)) = (276.3 +/- 1.6)x 10(-4) yielding alpha(-1)(M-Z(2))= 128.933 +/- 0.021, and a(mu)(had) = (692.4 +/- 6.2) x 10(-10) with which we find for the complete Standard Model prediction a(mu)(SM) =(11659 159.6 +/- 6.7) x 10(-10). For the electron, the hadronic contribution reads a(e)(had) = (187.5 +/- 1.8) x 10(-14). The following formulae express our results on the running of alpha at M-Z(2) as a function of the input value for alpha(s)(M-Z(2)) and its error: Delta alpha(had)(M-Z(2)) = (249.8 + 221 alpha(s)(M-Z(2)) +/- 1.5 +/- 221 Delta alpha(s)(M-Z(2))) x 10(-4), alpha(-1)(M-Z(2)) = 129.297 - 3.03 alpha(s)(M-Z(2)) +/- 0.020 +/- 3 Delta alpha(s)(M-Z(2)). (C) 1998 Elsevier Science B.V. All rights reserved.