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Light-by-Light Hadronic Corrections to the Muon G-2 Problem Within the Nonlocal Chiral Quark Model

Dorokhov, A.E. (Moscow, ITPM) ; Radzhabov, A.E. (RAS, ISDCT) ; Zhevlakov, A.S. (Tomsk State U.)

Published in: Russ.Phys.J.
Year: 2017
Vol.: 59    Num./Issue: 11
Page No: 1842-1845
Pages: 4
Year: 2017-03-11 published

Abstract: Results of calculation of the light-by-light contribution from the lightest neutral pseudoscalar and scalar mesons and the dynamical quark loop to the muon anomalous magnetic moment are discussed in the framework of the nonlocal SU(3) × SU(3) chiral quark model. The model is based on four-quark interaction of the Nambu–Jona–Lasinio type and Kobayashi–Maskawa–‘t Hooft six-quark interaction. The 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. All calculations are elaborated in explicitly gauge-invariant manner. These results complete calculations of all hadronic light-by-light scattering contributions to aμ in the leading order in the 1/N$_{c}$ expansion. The final result does not allow the discrepancy between the experiment and the Standard Model to be explained.

Keyword(s): anomalous magnetic moment ; nonlocal quark model ; Standard Model

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DOI: 10.1007/s11182-017-0984-z