TY - JOUR
T1 - Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
AU - Fermilab Lattice, MILC, and TUMQCD Collaborations
AU - Bazavov, A.
AU - Bernard, C.
AU - Brambilla, N.
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 - Vairo, A.
AU - Van De Water, R. S.
N1 - Funding Information:
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, MILC, and TUMQCD 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.
Funding Information:
J. K. thanks Jaume Tarrús Castellà for a useful discussion on nonanalytic terms in . 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.); by the U.S. National Science Foundation under Grants No. PHY14-14614 and No. PHY17-19626 (C. D.), PHY14-17805 (J. L.), and PHY13-16748 and 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 DFG cluster of excellence “Origin and Structure of the Universe” (N. B., A. V.); 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, MILC, and TUMQCD 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 - 2018/9/27
Y1 - 2018/9/27
N2 - We calculate the up-, down-, strange-, charm-, and bottom-quark masses using the MILC highly improved staggered-quark ensembles with four flavors of dynamical quarks. We use ensembles at six lattice spacings ranging from a≈0.15 to 0.03 fm and with both physical and unphysical values of the two light and the strange sea-quark masses. We use a new method based on heavy-quark effective theory (HQET) to extract quark masses from heavy-light pseudoscalar meson masses. Combining our analysis with our separate determination of ratios of light-quark masses we present masses of the up, down, strange, charm, and bottom quarks. Our results for the MS-renormalized masses are mu(2 GeV)=2.130(41) MeV, md(2 GeV)=4.675(56) MeV, ms(2 GeV)=92.47(69) MeV, mc(3 GeV)=983.7(5.6) MeV, and mc(mc)=1273(10) MeV, with four active flavors; and mb(mb)=4195(14) MeV with five active flavors. We also obtain ratios of quark masses mc/ms=11.783(25), mb/ms=53.94(12), and mb/mc=4.578(8). The result for mc matches the precision of the most precise calculation to date, and the other masses and all quoted ratios are the most precise to date. Moreover, these results are the first with a perturbative accuracy of αs4. As byproducts of our method, we obtain the matrix elements of HQET operators with dimension 4 and 5: ΛMRS=555(31) MeV in the minimal renormalon-subtracted (MRS) scheme, μπ2=0.05(22) GeV2, and μG2(mb)=0.38(2) GeV2. The MRS scheme [Phys. Rev. D 97, 034503 (2018)PRVDAQ2470-001010.1103/PhysRevD.97.034503] is the key new aspect of our method.
AB - We calculate the up-, down-, strange-, charm-, and bottom-quark masses using the MILC highly improved staggered-quark ensembles with four flavors of dynamical quarks. We use ensembles at six lattice spacings ranging from a≈0.15 to 0.03 fm and with both physical and unphysical values of the two light and the strange sea-quark masses. We use a new method based on heavy-quark effective theory (HQET) to extract quark masses from heavy-light pseudoscalar meson masses. Combining our analysis with our separate determination of ratios of light-quark masses we present masses of the up, down, strange, charm, and bottom quarks. Our results for the MS-renormalized masses are mu(2 GeV)=2.130(41) MeV, md(2 GeV)=4.675(56) MeV, ms(2 GeV)=92.47(69) MeV, mc(3 GeV)=983.7(5.6) MeV, and mc(mc)=1273(10) MeV, with four active flavors; and mb(mb)=4195(14) MeV with five active flavors. We also obtain ratios of quark masses mc/ms=11.783(25), mb/ms=53.94(12), and mb/mc=4.578(8). The result for mc matches the precision of the most precise calculation to date, and the other masses and all quoted ratios are the most precise to date. Moreover, these results are the first with a perturbative accuracy of αs4. As byproducts of our method, we obtain the matrix elements of HQET operators with dimension 4 and 5: ΛMRS=555(31) MeV in the minimal renormalon-subtracted (MRS) scheme, μπ2=0.05(22) GeV2, and μG2(mb)=0.38(2) GeV2. The MRS scheme [Phys. Rev. D 97, 034503 (2018)PRVDAQ2470-001010.1103/PhysRevD.97.034503] is the key new aspect of our method.
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U2 - 10.1103/PhysRevD.98.054517
DO - 10.1103/PhysRevD.98.054517
M3 - Article
AN - SCOPUS:85054547826
SN - 2470-0010
VL - 98
JO - Physical Review D
JF - Physical Review D
IS - 5
M1 - 054517
ER -