Regular Article - Theoretical Physics

The European Physical Journal C

, 72:2227

First online:

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

  • A. E. DorokhovAffiliated withBogoliubov Laboratory of Theoretical Physics, JINRN.N. Bogoliubov Institute of Theoretical Problems of Microworld, M.V. Lomonosov Moscow State University
  • , A. E. RadzhabovAffiliated withInstitute for System Dynamics and Control Theory SB RAS Email author 
  • , A. S. ZhevlakovAffiliated withInstitute for System Dynamics and Control Theory SB RAS

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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)×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 \(a_{\mu}^{\mathrm{LbL},\mathrm{PS}+\mathrm{S}}=(6.25\pm0.83)\cdot10^{-10}\).