Dynamical quark loop light-by-light contribution to muon g-2 within the nonlocal chiral quark model

The hadronic corrections to the muon anomalous magnetic moment $$a_{\mu }$$, due to the gauge-invariant set of diagrams with dynamical quark loop light-by-light scattering insertions, are calculated in the framework of the nonlocal chiral quark model. These results complete calculations of all hadronic light-by-light scattering contributions to $$a_{\mu }$$ in the leading order in the $$1/N_{c}$$ expansion. The result for the quark loop contribution is $$a_{\mu }^{\mathrm {HLbL,Loop}}=\left( 11.0\pm 0.9\right) \times 10^{-10},$$ and the total result is $$a_{\mu }^{\mathrm {HLbL,N\chi QM}}=\left( 16.8\pm 1.2\right) \times 10^{-10}$$