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

Blum, T. (Physics Department, University of Connecticut, Storrs, Connecticut 06269-3046, USA) ; Boyle, P. A. (School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3FD, United Kingdom) ; Gülpers, V. (School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom) ; Izubuchi, T. (Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA) (RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA) ; Jin, L. (Physics Department, University of Connecticut, Storrs, Connecticut 06269-3046, USA) (RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA) ; Jung, C. (Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA) ; Jüttner, A. (School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom) ; Lehner, C. (Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA) ; Portelli, A. (School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3FD, United Kingdom) ; Tsang, J. T. (School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3FD, United Kingdom)

13 July 2018

Abstract: We present a first-principles lattice $\mathrm{QCD}+\mathrm{QED}$ calculation at physical pion mass of the leading-order hadronic vacuum polarization contribution to the muon anomalous magnetic moment. The total contribution of up, down, strange, and charm quarks including QED and strong isospin breaking effects is ${a}_{\mu }^{\text{HVP LO}}=715.4\left(18.7\right)×{10}^{-10}$. By supplementing lattice data for very short and long distances with $R$-ratio data, we significantly improve the precision to ${a}_{\mu }^{\text{HVP LO}}=692.5\left(2.7\right)×{10}^{-10}$. This is the currently most precise determination of ${a}_{\mu }^{\text{HVP LO}}$.

Published in: Physical Review Letters 121 (2018)