Predictions for g - 2 of the muon and αQED(MZ2)

We calculate g-2 of the muon and the QED coupling α(MZ2) by improving the determination of the hadronic vacuum polarization contributions. We include the recently re-analyzed CMD-2 data on e+e- → π+π-. We carefully combine a wide variety of data for the e+e- production of hadrons and obtain the optimum form of R(s) ≡ σhad0(s)/σpt(s), together with its uncertainty. Our results are aμhad,LO = (692.4 ± 5.9exp ± 2.4rad) x 10-10, aμhad,NLO = (-9.8 ± 0.1exp ± 0.0rad) x 10-10, and for the QED coupling Δαhad(5) (MZ2) = (275.5 ± 1.9exp ± 1.3rad) x 10-4. These yield (g - 2)/2=(11659183.5 ± 6.7) x 10-10, which is about 2.7 σ below the present world average measurement, and α(MZ2)-1=128.954 ± 0.031. (author)