Light-by-light contribution to the (g-2)μ of muon from pseudoscalar channel in the nonlocal SU(3)×SU(3) quark model

The light-by-light contribution from the lightest neutral pseudoscalar mesons to the anomalous magnetic moment of muon is calculated in the framework nonlocal SU(3)×SU(3) quark model. The model is based on four-quark interaction of the Nambu-Jona-Lasinio type and t'Hooft six-quark interaction. Full kinematic dependencies of vertices with off-shell mesons in the light-by-light scattering amplitude is taken into account. As a result of that dependence the pseudoscalar contribution aμPS,LbL=(5.85±0.87)⋅10−10 is smaller then most of previous estimates. The comparison with the results of other models is performed.