Hadronic contributions to the anomalous magnetic moment of the muon by QCD model with infinite number of vector mesons

We computed the hadronic vacuum-polarization contributions to the muon anomalous magnetic moment a µ ( hadr. ) by using the QCD model with infinite number of vector mesons [1,2] The result is a µ ( hadr. ) = 663(23) × 10 − 10 . The largest uncertainties in the existing theoretical calculations of the gyromagnetic ratio of the muon a µ = ( g − 2) / 2 come from the order - α 2 the hadronic contributions to the photon vacuum polarization. In the present paper we suggest the simple method of the calculation of the hadronic vacuum polarization contributions a µ ( hadr. ) by using the QCD model with an infinite number of vector mesons [1,2]. The value of a µ ( hadr. ) can be written as [3] where: