Search

We report our final estimate of the b-quark mass from Nf=2 lattice QCD simulations using Heavy Quark Effective Theory non-perturbatively matched to QCD at O(1/mh). Treating systematic and statistical errors in a conservative manner, we obtain m¯bMS¯(2 GeV)=4.88(15) GeV after an extrapolation to the physical point.

Bernardoni, Fabio et al., We report our final estimate of the b-quark mass from Nf=2 lattice QCD simulations using Heavy Quark Effective Theory non-perturbatively matched to QCD at O(1/mh). Treating systematic and statistical errors in a conservative manner, we obtain View the MathML source after an extrapolation to the physical point., This work is supported in part by the SFB/TR 9, by grant HE 4517/2-1 (P.F. and J.H.) and HE 4517/3-1 (J.H.), of the Deutsche Forschungsgemeinschaft, and by the European Community through EU Contract MRTN-CT-2006-035482, “FLAVIAnet”. It was also partially supported by the Spanish Minister of Education and Science project RyC-2011-08557 (M.D.M.). P.F. and R.S. thank the ECT* in Trento for support during the workshop “Beautiful Mesons and Baryons on the Lattice”. We thank our colleagues in the CLS effort for the joint production and use of gauge configurations. We gratefully acknowledge the computer resources granted by the John von Neumann Institute for Computing (NIC) and provided on the supercomputer JUROPA at Jülich Supercomputing Centre (JSC) and by the Gauss Centre for Supercomputing (GCS) through the NIC on the GCS share of the supercomputer JUQUEEN at JSC, with funding by the German Federal Ministry of Education and Research (BMBF) and the German State Ministries for Research of Baden–Württemberg (MWK), Bayern (StMWFK) and Nordrhein–Westfalen (MIWF), as well as within the Distributed European Computing Initiative by the PRACE-2IP, with funding from the European Community's Seventh Framework Programme (FP7/2007–2013) under grant agreement RI-283493, by the Grand Équipement National de Calcul Intensif at CINES in Montpellier under the allocation 2012-056808, by the HLRN in Berlin, and by NIC at DESY, Zeuthen.

We present a calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, aμhvp, in lattice QCD employing dynamical up and down quarks. We focus on controlling the infrared regime of the vacuum polarization function. To this end we employ several complementary approaches, including Padé fits, time moments and the time-momentum representation. We correct our results for finite-volume effects by combining the Gounaris-Sakurai parameterization of the timelike pion form factor with the Lüscher formalism. On a subset of our ensembles we have derived an upper bound on the magnitude of quark-disconnected diagrams and found that they decrease the estimate for aμhvp by at most 2%. Our final result is ahvpμ=(654±32+21−23)·10−10, where the first error is statistical, and the second denotes the combined systematic uncertainty. Based on our findings we discuss the prospects for determining aμhvp with sub-percent precision., Journal of High Energy Physics, 2017 (10), ISSN:1126-6708, ISSN:1029-8479