Hadronic Vacuum Polarization and Test of Quantum Electrodynamics at Low Energies

TL;DR

This paper calculates the hadronic vacuum polarization correction using experimental data and form factor parameterization, testing quantum electrodynamics at low energies through its effects on muon magnetic moments and atomic Lamb shifts.

Contribution

It introduces a new calculation of hadronic vacuum polarization effects using updated experimental data and a specific form factor parameterization.

Findings

Calculated the hadronic vacuum polarization contribution to muon g-2.

Estimated the impact on Lamb shift in muonic atoms.

Provided a test of QED predictions at low energies.

Abstract

A hadronic vacuum polarization correction to the photon propagator is found by using the Dubnicka-Meshcheryakov parameterization of the pion electromagnetic form factor and new experimental data on the $e^+e^-$ hadrons annihilation cross section. Then, the contribution from the hadronic vacuum polarization to the muon anomalous magnetic moment and the Lamb shift in muonic atoms are calculated.