Hadronic vacuum polarization contribution to aμ from full lattice QCD

We determine the contribution to the anomalous magnetic moment of the muon from the alpha(2)(QED) hadronic vacuum polarization diagram using full lattice QCD and including u/d quarks with physical masses for the first time. We use gluon field configurations that include u, d, s and c quarks in the sea at multiple values of the lattice spacing, multiple u/d masses and multiple volumes that allow us to include an analysis of finite-volume effects. We obtain a result for alpha(HVP,LO)(mu) of 667(6) (12) x 10(-10), where the first error is from the lattice calculation and the second includes systematic errors from missing QED and isospin-breaking effects and from quark-line disconnected diagrams. Our result implies a discrepancy between the experimental determination of alpha(mu) and the Standard Model of 3 sigma.