On some properties of the fourth-rank hadronic vacuum polarization tensor and the anomalous magnetic moment of the muon

TL;DR

This paper re-examines the short-distance properties of the fourth-rank hadronic vacuum polarization tensor and discusses their implications for the hadronic light-by-light scattering contribution to the muon's anomalous magnetic moment.

Contribution

It provides a critical analysis of the properties of the hadronic vacuum polarization tensor and their impact on theoretical calculations of the muon's magnetic moment.

Findings

Reassessment of the short-distance behavior of the tensor.

Implications for the accuracy of the muon g-2 calculations.

Insights into the hadronic light-by-light scattering contribution.

Abstract

Some short-distance properties of the fourth-rank hadronic vacuum polarization tensor are re-examined.Their consequences are critically discussed in the context of the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon.