The European Physical Journal C

, 72:2227

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

  • A. E. Dorokhov
  • A. E. Radzhabov
  • A. S. Zhevlakov
Regular Article - Theoretical Physics

DOI: 10.1140/epjc/s10052-012-2227-3

Cite this article as:
Dorokhov, A.E., Radzhabov, A.E. & Zhevlakov, A.S. Eur. Phys. J. C (2012) 72: 2227. doi:10.1140/epjc/s10052-012-2227-3

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

Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2012

Authors and Affiliations

  • A. E. Dorokhov
    • 1
    • 2
  • A. E. Radzhabov
    • 3
  • A. S. Zhevlakov
    • 3
  1. 1.Bogoliubov Laboratory of Theoretical PhysicsJINRDubnaRussia
  2. 2.N.N. Bogoliubov Institute of Theoretical Problems of MicroworldM.V. Lomonosov Moscow State UniversityMoscowRussia
  3. 3.Institute for System Dynamics and Control Theory SB RASIrkutskRussia

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