Predictions for g-2 of the muon and alpha(QED)(M(Z**2)).

We calculate g–2 of the muon and the QED coupling alpha(MZ2), 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)[equivalent]sigmahad0(s)/sigmapt(s), together with its uncertainty. Our results for the hadronic contributions to g–2 of the muon are amuhad,LO = (692.4±5.9exp±2.4rad)×10–10 and amuhad,NLO = (–9.8±0.1exp±0.0rad)×10–10, and for the QED coupling Deltaalphahad(5)(MZ2) = (275.5±1.9exp±1.3rad)×10–4. These yield (g–2)/2 = 0.00116591763(74), which is about 2.4sigma below the present world average measurement, and alpha(MZ2)–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