Variations on Photon Vacuum Polarization

TL;DR

This paper updates theoretical predictions for fundamental constants and lepton magnetic moments, emphasizing lattice QCD approaches and electromagnetic corrections to improve precision in particle physics measurements.

Contribution

It provides updated theoretical calculations and phenomenological insights into muon and electron anomalous magnetic moments, and discusses electromagnetic corrections relevant for lattice QCD results.

Findings

Updated predictions for muon and electron g-2 values

Phenomenological results for Euclidean correlators in lattice QCD

List of isospin breaking and electromagnetic corrections

Abstract

I provide updates for the theoretical predictions of the muon and electron anomalous magnetic moments, for the shift in the fine structure constant $\alpha(M_Z)$ and for the weak mixing parameter $\sin^2 \Theta_W(M_Z)$. Phenomenological results for Euclidean time correlators, the key objects in the lattice QCD approach to hadronic vacuum polarization, are briefly considered. Furthermore, I present a list of isospin breaking and electromagnetic corrections for the lepton moments, which may be used to supplement lattice QCD results obtained in the isospin limit and without the e.m. corrections.