https://doi.org/10.1140/epjc/s10052-012-2227-3
Regular Article - Theoretical Physics
The light-by-light contribution to the muon (g-2) from lightest pseudoscalar and scalar mesons within nonlocal chiral quark model
1
Bogoliubov Laboratory of Theoretical Physics, JINR, 141980, Dubna, Russia
2
N.N. Bogoliubov Institute of Theoretical Problems of Microworld, M.V. Lomonosov Moscow State University, Moscow, 119991, Russia
3
Institute for System Dynamics and Control Theory SB RAS, 664033, Irkutsk, Russia
* e-mail: aradzh@icc.ru
Received:
27
April
2012
Revised:
9
October
2012
Published online:
15
November
2012
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 
.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2012
