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

Abstract

The hadronic vacuum-polarization contributions to the muon anomalous magnetic momentum a μ (hadr.) and to the value of the electromagnetic coupling constant at q 2 = M z 2 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: a μ (hadr.) = 670(7) × 10 −10, a μ (theor.) = 11659153(7) × 10 −10, δα hadr.( M z 2) = 0.02780(6) and α( M z 2) = (128.921 (8) −1).