- and -meson leptonic decay constants from four-flavor lattice QCD
Abstract
Here, 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 $$a\approx 0.03$$~fm and several values of the light-quark mass down to the physical value $$\frac{1}{2}(m_u+m_d)$$. 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, $$f_{D^+} = 212.7(0.6)$$~MeV, $$f_{D_s} = 249.9(0.4)$$~MeV, $$f_{D_s}/f_{D^+} = 1.1749(16)$$, $$f_{B^+} = 189.4 (1.4)$$~MeV, $$f_{B_s} = 230.7(1.3)$$~MeV, $$f_{B_s}/f_{B^+} = 1.2180(47)$$, 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 $$\overline{\mathcal{B}}(B_s \to \mu^+\mu^-) = 3.64(11) \times 10^{-9}$$, $$\overline{\mathcal{B}}(B^0 \to \mu^+\mu^-) = 1.00(3) \times 10^{-11}$$, and $$\overline{\mathcal{B}}(B^0 \to \mu^+\mu^-)/\overline{\mathcal{B}}(B_s \to \mu^+\mu^-) = 0.00264(8)$$ 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 $$f_{p4s}$$, $$M_{p4s}$$, and $$R_{p4s}$$. We obtain the most precise lattice-QCD determination to date of the ratio $$f_{K^+}/f_{\pi^+} = 1.1950(^{+16}_{-23})$$~MeV.
- Authors:
- Publication Date:
- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Contributing Org.:
- Fermilab Lattice and MILC Collaborations
- OSTI Identifier:
- 1479610
- Alternate Identifier(s):
- OSTI ID: 1423226
- Report Number(s):
- arXiv:1712.09262; FERMILAB-PUB-17/491-T
Journal ID: ISSN 2470-0010; PRVDAQ; 074512
- Grant/Contract Number:
- AC02-05CH11231; AC02-06CH11357; FG02-91ER40628; FC02-12ER41879; SC0010120; FG02-91ER40661; FG02-13ER42001; SC0015655; SC0010005; FG02-13ER41976; SC0009998; SC0012704; AC02-07CH11359
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 7; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Bazavov, A., Bernard, C., Brown, N., DeTar, C., El-Khadra, A. X., Gámiz, E., Gottlieb, Steven, Heller, U. M., Komijani, J., Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J. N., Sugar, R. L., Toussaint, D., Van de Water, R. S., and Fermilab Lattice and MILC Collaborations. B - and D -meson leptonic decay constants from four-flavor lattice QCD. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.074512.
Bazavov, A., Bernard, C., Brown, N., DeTar, C., El-Khadra, A. X., Gámiz, E., Gottlieb, Steven, Heller, U. M., Komijani, J., Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J. N., Sugar, R. L., Toussaint, D., Van de Water, R. S., & Fermilab Lattice and MILC Collaborations. B - and D -meson leptonic decay constants from four-flavor lattice QCD. United States. https://doi.org/10.1103/PhysRevD.98.074512
Bazavov, A., Bernard, C., Brown, N., DeTar, C., El-Khadra, A. X., Gámiz, E., Gottlieb, Steven, Heller, U. M., Komijani, J., Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J. N., Sugar, R. L., Toussaint, D., Van de Water, R. S., and Fermilab Lattice and MILC Collaborations. Mon .
"B - and D -meson leptonic decay constants from four-flavor lattice QCD". United States. https://doi.org/10.1103/PhysRevD.98.074512.
@article{osti_1479610,
title = {B - and D -meson leptonic decay constants from four-flavor lattice QCD},
author = {Bazavov, A. and Bernard, C. and Brown, N. and DeTar, C. and El-Khadra, A. X. and Gámiz, E. and Gottlieb, Steven and Heller, U. M. and Komijani, J. and Kronfeld, A. S. and Laiho, J. and Mackenzie, P. B. and Neil, E. T. and Simone, J. N. and Sugar, R. L. and Toussaint, D. and Van de Water, R. S. and Fermilab Lattice and MILC Collaborations},
abstractNote = {Here, 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 $a\approx 0.03$~fm and several values of the light-quark mass down to the physical value $\frac{1}{2}(m_u+m_d)$. 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, $f_{D^+} = 212.7(0.6)$~MeV, $f_{D_s} = 249.9(0.4)$~MeV, $f_{D_s}/f_{D^+} = 1.1749(16)$, $f_{B^+} = 189.4 (1.4)$~MeV, $f_{B_s} = 230.7(1.3)$~MeV, $f_{B_s}/f_{B^+} = 1.2180(47)$, 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 $\overline{\mathcal{B}}(B_s \to \mu^+\mu^-) = 3.64(11) \times 10^{-9}$, $\overline{\mathcal{B}}(B^0 \to \mu^+\mu^-) = 1.00(3) \times 10^{-11}$, and $\overline{\mathcal{B}}(B^0 \to \mu^+\mu^-)/\overline{\mathcal{B}}(B_s \to \mu^+\mu^-) = 0.00264(8)$ 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 $f_{p4s}$, $M_{p4s}$, and $R_{p4s}$. We obtain the most precise lattice-QCD determination to date of the ratio $f_{K^+}/f_{\pi^+} = 1.1950(^{+16}_{-23})$~MeV.},
doi = {10.1103/PhysRevD.98.074512},
journal = {Physical Review D},
number = 7,
volume = 98,
place = {United States},
year = {2018},
month = {10}
}
https://doi.org/10.1103/PhysRevD.98.074512
Web of Science
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Works referencing / citing this record:
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Lattice QCD form factor for at zero recoil with nonperturbative current renormalization
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A pattern for the flavor dependent quark-antiquark interaction
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transition form factors in light-cone sum rules
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Observation of the Leptonic Decay
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Lattice QCD and neutrino-nucleus scattering
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Test lepton flavor universality with (semi)leptonic $D$ decays at BESIII
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