Abstract
The HPQCD collaboration has used radiatively-improved NonRelativistic QCD (NRQCD) for b quarks in bottomonium to determine the decay rate of i and i 0 mesons to leptons in lattice QCD. Using time-moments of vector bottomonium current-current correlators, we are also able to determine the b quark mass in the MS scheme. We use the same NRQCD b quarks and Highly Improved Staggered Quark (HISQ) light quarks ‐ with masses down to their physical values ‐ to give a complete picture of heavy-light meson decay constants including those for vector mesons. We also study the semileptonic B!p‘n decay at zero recoil to show that lattice QCD is consistent with the soft pion theorem for this decay: f0(q 2 )= fB= fp in the massless pion limit. Finally, we present preliminary results for the Bc!hc‘n semileptonic decay form factors. This is a showcase for the comparison of results for NRQCD b quarks with those from HISQ b quarks (both with HISQ c quarks). We give the first 3-point results from our ‘heavy HISQ’ programme, which will allow us to improve the normalisation of NRQCD-HISQ currents for other calculations.
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