Abstract
We determine the decay rate to leptons of the ground-state meson and its first radial excitation in lattice QCD for the first time. We use radiatively improved nonrelativistic QCD for the quarks and include , , and quarks in the sea with masses down to their physical values. We find and , both in good agreement with experimental results. The decay constants we obtain are included in a summary plot of meson decay constants from lattice QCD given in the Conclusions. We also test time moments of the vector current-current correlator against values determined from the -quark contribution to and calculate the -quark piece of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon, . Finally we determine the -quark mass, obtaining in the scheme, , the most accurate result from lattice QCD to date.
6 More- Received 26 August 2014
DOI:https://doi.org/10.1103/PhysRevD.91.074514
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