Hadronic light-by-light scattering contribution to the muon magnetic anomaly: constituent quark loops and QCD effects

TL;DR

This paper estimates the hadronic light-by-light scattering contribution to the muon magnetic anomaly using constituent quark loops, demonstrating the model's stability against QCD corrections and highlighting the sensitivity to quark masses.

Contribution

It introduces a framework that links constituent quark loops to the muon anomaly and assesses its stability with respect to QCD corrections.

Findings

The model's estimates are sensitive to quark mass values.

The framework remains stable under first-order perturbative QCD corrections.

Constituent quark loops can effectively estimate the hadronic light-by-light contribution.

Abstract

The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment can be estimated by computing constituent quark loops. Such an estimate is very sensitive to the numerical values of the constituent quark masses. These can be fixed by computing the hadronic vacuum polarization contribution to the muon magnetic anomaly within the same model. In this Letter, we demonstrate the stability of this framework against first-order perturbative QCD corrections.