Hadronic vacuum polarization function within dispersive approach to QCD

TL;DR

This paper applies a dispersive approach to QCD to study the hadronic vacuum polarization function, combining nonperturbative constraints with perturbative input, and finds good agreement with lattice data and recent experimental assessments.

Contribution

It introduces a dispersive method that integrates nonperturbative constraints with perturbative QCD to analyze the hadronic vacuum polarization function.

Findings

Agreement with lattice simulation data

Consistent results for muon g-2 contributions

Accurate evaluation of electromagnetic constant shift

Abstract

The dispersive approach to quantum chromodynamics is applied to the study of the hadronic vacuum polarization function and associated quantities. This approach merges the intrinsically nonperturbative constraints, which originate in the kinematic restrictions on the respective physical processes, with corresponding perturbative input. The obtained hadronic vacuum polarization function agrees with pertinent lattice simulation data. The evaluated hadronic contributions to the muon anomalous magnetic moment and to the shift of the electromagnetic fine structure constant conform with recent assessments of these quantities.