On the hadronic contribution to the muon (g − 2)-factor and to the α(Mz2)

The hadronic vacuum-polarization contributions to the muon anomalous magnetic momentum aμ(hadr.) and to the value of the electromagnetic coupling constant at q2 = Mz2 are calculated with the record accuracy. A QCD model with an infinite number of vector mesons suggested by one of the authors is used. In this model the non-perturbative effects are included automatically. The results are: aμ(hadr.) = 670(7) × 10−10, aμ(theor.) = 11659153(7) × 10−10, δαhadr.(Mz2) = 0.02780(6) and α(Mz2) = (128.921 (8)−1).