The pseudoscalar hadronic channel contribution of the light-by-light process to the muon (g-2) within the nonlocal chiral quark model

TL;DR

This paper calculates the pseudoscalar hadronic contribution to the muon (g-2) using a nonlocal chiral quark model, emphasizing the importance of full kinematic dependence and comparing with other models.

Contribution

It introduces a detailed calculation of the light-by-light contribution to muon (g-2) considering full kinematic dependence within a nonlocal chiral quark model, refining previous estimates.

Findings

Full kinematic dependence reduces the pseudoscalar exchange contribution by about 1.5 times.

Comparison with other models highlights differences in the estimated contributions.

Discussion of phenomenological and QCD constraints supports the validity of the approach.

Abstract

The light-by-light contribution to the anomalous magnetic moment of muon (g-2)_{\mu} from the hadronic exchanges in the neutral pseudoscalar meson channel is calculated in the nonlocal chiral quark model. The full kinematic dependence of the meson-two-photon vertices on the virtualities of the mesons and photons is taken into account. The status of various phenomenological and QCD short-distance constraints is discussed and the comparison with the predictions of other models is performed. It is demonstrated that the effect of the full kinematic dependence in the meson-photon vertices is to reduce the contribution of pseudoscalar exchages to a_\mu ^{PS,LbL} by approximately factor 1.5 in comparison with the most of previous estimates.