Predictions for g-2 of the muon and αQED(MZ2) -: art. no. 093003

We calculate g-2 of the muon and the QED coupling alpha(M-Z(2)), by improving the determination of the hadronic vacuum polarization contributions and their uncertainties. We include the recently reanalyzed CMD-2 data on e(+)e(-)-->pi(+)pi(-). We carefully combine a wide variety of data for the e(+)e(-) production of hadrons and obtain the optimum form of R(s)=sigma(had)(0)(s)/sigma(pt)(s), together with its uncertainty. Our results for the hadronic contributions to g-2 of the muon are a(mu)(had,LO)=(692.4+/-5.9(exp)+/-2.4(rad))x10(-10) and a(mu)(had,NLO)=(-9.8+/-0.1(exp)+/-0.0(rad))x10(-10), and for the QED coupling Deltaalpha(had)((5))(M-Z(2))=(275.5+/-1.9(exp)+/-1.3(rad))x10(-4). These yield (g-2)/2=0.00116591763(74), which is about 2.4sigma below the present world average measurement, and alpha(M-Z(2))(-1)=128.954+/-0.031. We compare our g-2 value with other predictions and, in particular, make a detailed comparison with the latest determination of g-2 by Davier et al.