Hadronic contribution from light by light processes in (g-2) of muon in nonlocal quark model

TL;DR

This paper calculates the hadronic light-by-light scattering contributions to the muon g-2 using a nonlocal quark model, providing a detailed estimate of the quark loop and total effects.

Contribution

It introduces a comprehensive calculation of hadronic light-by-light contributions within a nonlocal chiral quark model, including all relevant diagrams at leading order.

Findings

Quark loop contribution: (11.0 ± 0.9) × 10^{-10}

Total hadronic light-by-light contribution: (16.8 ± 1.2) × 10^{-10}

Provides a gauge-invariant, full set of diagrams in the nonlocal quark model framework.

Abstract

The hadronic corrections to the muon anomalous magnetic moment, due to the full gauge-invariant set of diagrams with dynamical quark loop and intermediate pseudoscalar and scalar states light-by-light scattering insertions, are calculated in the framework of the nonlocal chiral quark model. These diagrams correspond to all hadronic light-by-light scattering contributions to $a_{\mu}$ in the leading order of the $1/N_{c}$ expansion in quark model. The result for the quark loop contribution is $a_{\mu}^{\mathrm{HLbL,Loop}}=\left( 11.0\pm0.9\right) \cdot10^{-10}$, and the total result is $a_{\mu}^{\mathrm{HLbL,N\chi QM}}=\left(16.8\pm1.2\right) \cdot 10^{-10}$.