Hadronic contribution from light by light processes in (g-2) of muon in nonlocal quark model

Abstract

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

Comments: Proceedings of the PhiPsi15, Sep. 23-26, 2015, Hefei, China