B - And D -meson leptonic decay constants from four-flavor lattice QCD

Fermilab Lattice and MILC Collaborations

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Article number074512
JournalPhysical Review D
Volume98
Issue number7
DOIs
StatePublished - Oct 1 2018

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mesons
quantum chromodynamics
quarks
decay
spacing
mass ratios
valence
configurations
predictions

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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B - And D -meson leptonic decay constants from four-flavor lattice QCD. / Fermilab Lattice and MILC Collaborations.

In: Physical Review D, Vol. 98, No. 7, 074512, 01.10.2018.

Research output: Contribution to journalArticle

Fermilab Lattice and MILC Collaborations. / B - And D -meson leptonic decay constants from four-flavor lattice QCD. In: Physical Review D. 2018 ; Vol. 98, No. 7.
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title = "B - And D -meson leptonic decay constants from four-flavor lattice QCD",
abstract = "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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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, John W

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.

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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