The light-by-light contribution to the muon (g-2) from lightest pseudoscalar and scalar mesons within nonlocal chiral quark model

Abstract

The light-by-light contribution from the lightest neutral pseudoscalar and scalar mesons to the anomalous magnetic moment of muon is calculated in the framework of the nonlocal SU(3)x SU(3) quark model. The model is based on chirally symmetric four-quark interaction of the Nambu-Jona-Lasinio type and Kobayashi-Maskawa-t`Hooft U_A(1) breaking six-quark interaction. Full kinematic dependence of vertices with off-shell mesons and photons in intermediate states in the light-by-light scattering amplitude is taken into account. The small positive contributions from the scalar mesons stabilize the total result with respect to change of model parameters and reduces to a_μ^{LbL,PS+S}=(6.25\pm 0.83)x10^{-10}.

arXiv comment11 pages, 6 figures

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• Hadronic vacuum polarization function within dispersive approach to QCD
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• Hadronic light-by-light contribution to the muon g-2
• The role of vector meson dominance and running masses in the hadronic contributions to the muon $g-2$