We present a first-principles lattice QCD+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 found to be
aμHVPLO=715.4(16.3)(9.2)×10−10, where the first error is
statistical and the second is systematic. By supplementing lattice data for
very short and long distances with experimental R-ratio data using the
compilation of Ref. [1], we significantly improve the precision of our
calculation and find aμHVPLO=692.5(1.4)(0.5)(0.7)(2.1)×10−10 with lattice statistical, lattice systematic, R-ratio statistical,
and R-ratio systematic errors given separately. This is the currently most
precise determination of the leading-order hadronic vacuum polarization
contribution to the muon anomalous magnetic moment. In addition, we present the
first lattice calculation of the light-quark QED correction at physical pion
mass.Comment: 12 pages, 11 figure