Hadronic Contributions to the Muon Anomaly in the Constituent Chiral Quark Model

TL;DR

This paper evaluates the hadronic contributions to the muon anomalous magnetic moment using the constituent chiral quark model, providing a unified framework for various hadronic effects with a single free parameter.

Contribution

It introduces a comprehensive calculation of hadronic effects on the muon g-2 within the constituent chiral quark model, linking multiple contributions through one free parameter.

Findings

Consistent estimates of hadronic vacuum polarization contributions.

Evaluation of hadronic light-by-light scattering effects.

Comparison with other phenomenological models.

Abstract

The hadronic contributions to the anomalous magnetic moment of the muon which are relevant for the confrontation between theory and experiment at the present level of accuracy, are evaluated within the same framework: the constituent chiral quark model. This includes the contributions from the dominant hadronic vacuum polarization as well as from the next--to--leading order hadronic vacuum polarization, the contributions from the hadronic light-by-light scattering, and the contributions from the electroweak hadronic $Z\gamma\gamma$ vertex. They are all evaluated as a function of only one free parameter: the constituent quark mass. We also comment on the comparison between our results and other phenomenological evaluations.