Dynamical quark loop light-by-light contribution to muon g-2 within the nonlocal chiral quark model

A. E. Dorokhov; A. E. Radzhabov; A. S. Zhevlakov

doi:10.1140/epjc/s10052-015-3577-4

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2015) 75: 417
https://doi.org/10.1140/epjc/s10052-015-3577-4

Regular Article - Theoretical Physics

Dynamical quark loop light-by-light contribution to muon g-2 within the nonlocal chiral quark model

A. E. Dorokhov¹^,2, A. E. Radzhabov³^* and A. S. Zhevlakov³^,4

¹ Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, 141980, 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, Irkutsk, 664033, Russia
⁴ Department of Physics, Tomsk State University, Lenin ave. 36, Tomsk, 634050, Russia

^* e-mail: aradzh@icc.ru

Received: 28 April 2015
Accepted: 23 July 2015
Published online: 9 September 2015

Abstract

The hadronic corrections to the muon anomalous magnetic moment $a_{\mu }$ , due to the gauge-invariant set of diagrams with dynamical quark loop light-by-light scattering insertions, are calculated in the framework of the nonlocal chiral quark model. These results complete calculations of all hadronic light-by-light scattering contributions to $a_{\mu }$ in the leading order in the $1/N_{c}$ expansion. The result for the quark loop contribution is $a_{\mu }^{\mathrm {HLbL,Loop}}=\left( 11.0\pm 0.9\right) \times 10^{-10},$ and the total result is $a_{\mu }^{\mathrm {HLbL,N\chi QM}}=\left( 16.8\pm 1.2\right) \times 10^{-10}$ .