Leading hadronic contribution to the muon magnetic moment from lattice\n QCD

Abstract

We compute the leading order hadronic vacuum polarization (LO-HVP)\ncontribution to the anomalous magnetic moment of the muon, $(g_\\mu-2)$, using\nlattice QCD. Calculations are performed with four flavors of 4-stout-improved\nstaggered quarks, at physical quark masses and at six values of the lattice\nspacing down to 0.064~fm. All strong isospin breaking and electromagnetic\neffects are accounted for to leading order. The infinite-volume limit is taken\nthanks to simulations performed in volumes of sizes up to 11~fm. Our result for\nthe LO-HVP contribution to $(g_\\mu-2)$ has a total uncertainty of 0.8\\%.\nCompared to the result of the dispersive approach for this contribution, ours\nsignificantly reduces the tension between the standard model prediction for\n$(g_\\mu-2)$ and its measurement.\n