Contribution to muon g-2 from the π0γ and ηγ intermediate states in the vacuum polarization

Using new experimental data, we have calculated the contribution to the anomalous magnetic moment of the muon from the \pi0\gamma and \eta\gamma intermediate states in the vacuum polarization with high precision: a{\mu}(\pi0\gamma)+a{\mu}(\eta\gamma)=(54.7\pm 1.5)\times 10^{-11}. We have also found the small contribution from e+e-\pi0, e+e-\eta and \mu+\mu-\pi0 intermediate states equal to 0.5\times 10^{-11}.