Progress report on computing the disconnected QCD and the QCD plus QED hadronic contributions to the muon's anomalous magnetic moment

TL;DR

This paper reports progress in lattice QCD calculations of the muon's anomalous magnetic moment, focusing on disconnected hadronic diagrams and QED contributions using improved computational methods.

Contribution

It presents new lattice QCD results for disconnected hadronic contributions and valence QED effects using HISQ formulation with physical sea-quark masses.

Findings

Progress in calculating disconnected hadronic contributions

Implementation of HISQ formulation for improved accuracy

Initial results on valence QED contributions

Abstract

We report progress on calculating the contribution to the anomalous magnetic moment of the muon from the disconnected hadronic diagrams with light and strange quarks and the valence QED contribution to the connected diagrams. The lattice QCD calculations use the highly-improved staggered quark (HISQ) formulation. The gauge configurations were generated by the MILC Collaboration with four flavors of HISQ sea quarks with physical sea-quark masses.