TY - JOUR
T1 - B - And D -meson leptonic decay constants from four-flavor lattice QCD
AU - Fermilab Lattice and MILC Collaborations
AU - Bazavov, A.
AU - Bernard, C.
AU - Brown, N.
AU - Detar, C.
AU - El-Khadra, A. X.
AU - Gámiz, E.
AU - Gottlieb, Steven
AU - Heller, U. M.
AU - Komijani, J.
AU - Kronfeld, A. S.
AU - Laiho, J.
AU - Mackenzie, P. B.
AU - Neil, E. T.
AU - Simone, J. N.
AU - Sugar, R. L.
AU - Toussaint, D.
AU - Van De Water, R. S.
N1 - Funding Information:
We thank Silvano Simula for useful correspondence. Computations for this work were carried out with resources provided by the USQCD Collaboration, the National Energy Research Scientific Computing Center, the Argonne Leadership Computing Facility, the Blue Waters sustained-petascale computing project, the National Institute for Computational Science, the National Center for Atmospheric Research, the Texas Advanced Computing Center, and Big Red II+ at Indiana University. USQCD resources are acquired and operated thanks to funding from the Office of Science of the U.S. Department of Energy. The National Energy Research Scientific Computing Center is a DOE Office of Science User Facility supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231. An award of computer time was provided by the Innovative and Novel Computational Impact on Theory and Experiment (INCITE) program. This research used resources of the Argonne Leadership Computing Facility, which is a DOE Office of Science User Facility supported under Contract No. DE-AC02-06CH11357. The Blue Waters sustained-petascale computing project is supported by the National Science Foundation (Grants No. OCI-0725070 and No. ACI-1238993) and the State of Illinois. Blue Waters is a joint effort of the University of Illinois at Urbana-Champaign and its National Center for Supercomputing Applications. This work is also part of the “Lattice QCD on Blue Waters” and “High Energy Physics on Blue Waters” PRAC allocations supported by the National Science Foundation (Grants No. 0832315 and No. 1615006). This work used the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation Grant No. ACI-1548562 . Allocations under the Teragrid and XSEDE programs included resources at the National Institute for Computational Sciences (NICS) at the Oak Ridge National Laboratory Computer Center, The Texas Advanced Computing Center and the National Center for Atmospheric Research, all under NSF teragrid allocation TG-MCA93S002. Computer time at the National Center for Atmospheric Research was provided by NSF MRI Grant No. CNS-0421498, NSF MRI Grant No. CNS-0420873, NSF MRI Grant No. CNS-0420985, NSF sponsorship of the National Center for Atmospheric Research, the University of Colorado, and a grant from the IBM Shared University Research (SUR) program. Computing at Indiana University is supported by Lilly Endowment, Inc., through its support for the Indiana University Pervasive Technology Institute. This work was supported in part by the U.S. Department of Energy under Grants No. DE-FG02-91ER40628 (C. B., N. B.), No. DE-FC02-12ER41879 (C. D.), No. DE-SC0010120 (S. G.), No. DE-FG02-91ER40661 (S. G.), No. DE-FG02-13ER42001 (A. X. K.), No. DE-SC0015655 (A. X. K.), No. DE-SC0010005 (E. T. N.), No. DE-FG02-13ER41976 (D. T.), No. DE-SC0009998 (J. L.); by the U.S. National Science Foundation under Grants No. PHY14-14614 and No. PHY17-19626 (C. D.), and No. PHY13-16748 and No. PHY16-20625 (R. S.); by the MINECO (Spain) under Grants No. FPA2013-47836-C-1-P and No. FPA2016-78220-C3-3-P (E. G.); by the Junta de Andalucía (Spain) under Grant No. FQM-101 (E. G.); by the UK Science and Technology Facilities Council (J. K.); by the German Excellence Initiative and the European Union Seventh Framework Program under Grant agreement No. 291763 as well as the European Union’s Marie Curie COFUND program (J. K., A. S. K.). Brookhaven National Laboratory is supported by the United States Department of Energy, Office of Science, Office of High Energy Physics, under Contract No. DE-SC0012704. This document was prepared by the Fermilab Lattice and MILC Collaborations using the resources of the Fermi National Accelerator Laboratory (Fermilab), a U.S. Department of Energy, Office of Science, HEP User Facility. Fermilab is managed by Fermi Research Alliance, LLC (FRA), acting under Contract No. DE-AC02-07CH11359.
Publisher Copyright:
© 2018 authors. Published by the American Physical Society.
PY - 2018/10/1
Y1 - 2018/10/1
N2 - We calculate the leptonic decay constants of heavy-light pseudoscalar mesons with charm and bottom quarks in lattice quantum chromodynamics on four-flavor QCD gauge-field configurations with dynamical u, d, s, and c quarks. We analyze over twenty isospin-symmetric ensembles with six lattice spacings down to a≈0.03 fm and several values of the light-quark mass down to the physical value 12(mu+md). We employ the highly-improved staggered-quark (HISQ) action for the sea and valence quarks; on the finest lattice spacings, discretization errors are sufficiently small that we can calculate the B-meson decay constants with the HISQ action for the first time directly at the physical b-quark mass. We obtain the most precise determinations to-date of the D- and B-meson decay constants and their ratios, fD+=212.7(0.6) MeV, fDs=249.9(0.4) MeV, fDs/fD+=1.1749(16), fB+=189.4(1.4) MeV, fBs=230.7(1.3) MeV, fBs/fB+=1.2180(47), where the errors include statistical and all systematic uncertainties. Our results for the B-meson decay constants are three times more precise than the previous best lattice-QCD calculations, and bring the QCD errors in the standard model predictions for the rare leptonic decays B̄(Bs→μ+μ-)=3.64(11)×10-9, B̄(B0→μ+μ-)=1.00(3)×10-11, and B̄(B0→μ+μ-)/B̄(Bs→μ+μ-)=0.00264(8) to well below other sources of uncertainty. As a byproduct of our analysis, we also update our previously published results for the light-quark-mass ratios and the scale-setting quantities fp4s, Mp4s, and Rp4s. We obtain the most precise lattice-QCD determination to date of the ratio fK+/fπ+=1.1950(-23+16) MeV.
AB - We calculate the leptonic decay constants of heavy-light pseudoscalar mesons with charm and bottom quarks in lattice quantum chromodynamics on four-flavor QCD gauge-field configurations with dynamical u, d, s, and c quarks. We analyze over twenty isospin-symmetric ensembles with six lattice spacings down to a≈0.03 fm and several values of the light-quark mass down to the physical value 12(mu+md). We employ the highly-improved staggered-quark (HISQ) action for the sea and valence quarks; on the finest lattice spacings, discretization errors are sufficiently small that we can calculate the B-meson decay constants with the HISQ action for the first time directly at the physical b-quark mass. We obtain the most precise determinations to-date of the D- and B-meson decay constants and their ratios, fD+=212.7(0.6) MeV, fDs=249.9(0.4) MeV, fDs/fD+=1.1749(16), fB+=189.4(1.4) MeV, fBs=230.7(1.3) MeV, fBs/fB+=1.2180(47), where the errors include statistical and all systematic uncertainties. Our results for the B-meson decay constants are three times more precise than the previous best lattice-QCD calculations, and bring the QCD errors in the standard model predictions for the rare leptonic decays B̄(Bs→μ+μ-)=3.64(11)×10-9, B̄(B0→μ+μ-)=1.00(3)×10-11, and B̄(B0→μ+μ-)/B̄(Bs→μ+μ-)=0.00264(8) to well below other sources of uncertainty. As a byproduct of our analysis, we also update our previously published results for the light-quark-mass ratios and the scale-setting quantities fp4s, Mp4s, and Rp4s. We obtain the most precise lattice-QCD determination to date of the ratio fK+/fπ+=1.1950(-23+16) MeV.
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U2 - 10.1103/PhysRevD.98.074512
DO - 10.1103/PhysRevD.98.074512
M3 - Article
AN - SCOPUS:85056188171
SN - 2470-0010
VL - 98
JO - Physical Review D
JF - Physical Review D
IS - 7
M1 - 074512
ER -