Calculation of the Hadronic Vacuum Polarization Disconnected Contribution to the Muon Anomalous Magnetic Moment

We report the first lattice QCD calculation of the hadronic vacuum polarization (HVP) disconnected contribution to the muon anomalous magnetic moment at physical pion mass. The calculation uses a refined noise-reduction technique that enables the control of statistical uncertainties at the desired level with modest computational effort. Measurements were performed on the ${48}^{3}\ifmmode\times\else\texttimes\fi{}96$ physical-pion-mass lattice generated by the RBC and UKQCD Collaborations. We find the leading-order hadronic vacuum polarization ${a}_{\ensuremath{\mu}}^{\mathrm{HVP}(\mathrm{LO})\text{disc}}=\ensuremath{-}9.6(3.3)(2.3)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}10}$, where the first error is statistical and the second systematic.