1204.3729 (A. E. Dorokhov et al.)

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

A. E. Dorokhov, A. E. Radzhabov, A. S. Zhevlakov

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 four-quark interaction of the Nambu-Jona-Lasinio type and Kobayashi-Maskawa-t`Hooft 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 stabilizes the total result with respect to change of model parameters and reduces to a_\mu^{LbL,PS+S}=(6.25\pm 0.83)x10^{-10}.

View original: http://arxiv.org/abs/1204.3729