-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
Abstract
We present lattice-QCD calculations of the hadronic form factors for the semileptonic decays D → πℓν, D → Kℓν, and Ds → Kℓν. Our calculation uses the highly improved staggered quark (HISQ) action for all valence and sea quarks and includes Nf = 2 + 1 + 1 MILC ensembles with lattice spacings ranging from a ≈ 0.12 fm down to 0.042 fm. At most lattice spacings, an ensemble with physical-mass light quarks is included. The HISQ action allows all the quarks to be treated with the same relativistic light-quark action, allowing for nonperturbative renormalization using partial conservation of the vector current. We combine our results with experimental measurements of the differential decay rates to determine |Vcd|D → π = 0.2238(11)Expt (15)QCD (04)EW (02)SIB[22]QED and |Vcs|D → K = 0.9589 (23)Expt (40)QCD (15)EW (05)SIB[95]QED. This result for |Vcd| is the most precise to date, with a lattice-QCD error that is, for the first time for the semileptonic extraction, at the same level as the experimental error. Using recent measurements from BES III, we also give the first-ever determination of |Vcd|Ds → K = 0.258(15)Expt (01)QCD[03]QED from Ds → Klν. Our results also furnish new Standard Model calculations of the lepton flavor universality ratios $$R$$$^{D → π}_{μ/e}$$ = 0.98671(17)QCD[500]QED, $$R$$$^{D → π}_{μ/e}$$ = 0.97606(16)QCD[500]QED, and $$R$$$^{D → π}_{μ/e}$$ = 0.98099(10)QCD[500]QED, which are consistent within 2σ with experimental measurements. Our extractions of |Vcd| and |Vcs|, when combined with a value for |Vcb|, provide the most precise test of second-row Cabibbo-Kobayashi-Maskawa unitarity, finding agreement with unitarity at the level of one standard deviation.
- Authors:
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Contributing Org.:
- Fermilab Lattice; MILC; Fermilab Lattice and MILC Collaborations
- OSTI Identifier:
- 1975874
- Alternate Identifier(s):
- OSTI ID: 1915401; OSTI ID: 1975797
- Report Number(s):
- MIT-CTP/5513; FERMILAB-PUB-22-943-T; arXiv:2212.12648
Journal ID: ISSN 2470-0010; PRVDAQ; 094516
- Grant/Contract Number:
- SC0010120; SC0011090; SC0021006; SC0015655; SC0010005; AC02-07CH11359; AC02-06CH11357; AC05-00OR22725; AC02-05CH11231
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 107 Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice QCD; CKM matrix; semileptonic decays; quark flavor physics
Citation Formats
Bazavov, Alexei, DeTar, Carleton, El-Khadra, Aida X., Gámiz, Elvira, Gelzer, Zechariah, Gottlieb, Steven, Jay, William I., Jeong, Hwancheol, Kronfeld, Andreas S., Li, Ruizi, Lytle, Andrew T., Mackenzie, Paul B., Neil, Ethan T., Primer, Thomas, Simone, James N., Sugar, Robert L., Toussaint, Doug, Van de Water, Ruth S., Vaquero, Alejandro, and Fermilab Lattice and MILC Collaborations. D -meson semileptonic decays to pseudoscalars from four-flavor lattice QCD. United States: N. p., 2023.
Web. doi:10.1103/PhysRevD.107.094516.
Bazavov, Alexei, DeTar, Carleton, El-Khadra, Aida X., Gámiz, Elvira, Gelzer, Zechariah, Gottlieb, Steven, Jay, William I., Jeong, Hwancheol, Kronfeld, Andreas S., Li, Ruizi, Lytle, Andrew T., Mackenzie, Paul B., Neil, Ethan T., Primer, Thomas, Simone, James N., Sugar, Robert L., Toussaint, Doug, Van de Water, Ruth S., Vaquero, Alejandro, & Fermilab Lattice and MILC Collaborations. D -meson semileptonic decays to pseudoscalars from four-flavor lattice QCD. United States. https://doi.org/10.1103/PhysRevD.107.094516
Bazavov, Alexei, DeTar, Carleton, El-Khadra, Aida X., Gámiz, Elvira, Gelzer, Zechariah, Gottlieb, Steven, Jay, William I., Jeong, Hwancheol, Kronfeld, Andreas S., Li, Ruizi, Lytle, Andrew T., Mackenzie, Paul B., Neil, Ethan T., Primer, Thomas, Simone, James N., Sugar, Robert L., Toussaint, Doug, Van de Water, Ruth S., Vaquero, Alejandro, and Fermilab Lattice and MILC Collaborations. Wed .
"D -meson semileptonic decays to pseudoscalars from four-flavor lattice QCD". United States. https://doi.org/10.1103/PhysRevD.107.094516.
@article{osti_1975874,
title = {D -meson semileptonic decays to pseudoscalars from four-flavor lattice QCD},
author = {Bazavov, Alexei and DeTar, Carleton and El-Khadra, Aida X. and Gámiz, Elvira and Gelzer, Zechariah and Gottlieb, Steven and Jay, William I. and Jeong, Hwancheol and Kronfeld, Andreas S. and Li, Ruizi and Lytle, Andrew T. and Mackenzie, Paul B. and Neil, Ethan T. and Primer, Thomas and Simone, James N. and Sugar, Robert L. and Toussaint, Doug and Van de Water, Ruth S. and Vaquero, Alejandro and Fermilab Lattice and MILC Collaborations},
abstractNote = {We present lattice-QCD calculations of the hadronic form factors for the semileptonic decays D → πℓν, D → Kℓν, and Ds → Kℓν. Our calculation uses the highly improved staggered quark (HISQ) action for all valence and sea quarks and includes Nf = 2 + 1 + 1 MILC ensembles with lattice spacings ranging from a ≈ 0.12 fm down to 0.042 fm. At most lattice spacings, an ensemble with physical-mass light quarks is included. The HISQ action allows all the quarks to be treated with the same relativistic light-quark action, allowing for nonperturbative renormalization using partial conservation of the vector current. We combine our results with experimental measurements of the differential decay rates to determine |Vcd|D → π = 0.2238(11)Expt (15)QCD (04)EW (02)SIB[22]QED and |Vcs|D → K = 0.9589 (23)Expt (40)QCD (15)EW (05)SIB[95]QED. This result for |Vcd| is the most precise to date, with a lattice-QCD error that is, for the first time for the semileptonic extraction, at the same level as the experimental error. Using recent measurements from BES III, we also give the first-ever determination of |Vcd|Ds → K = 0.258(15)Expt (01)QCD[03]QED from Ds → Klν. Our results also furnish new Standard Model calculations of the lepton flavor universality ratios $R$$^{D → π}_{μ/e}$ = 0.98671(17)QCD[500]QED, $R$$^{D → π}_{μ/e}$ = 0.97606(16)QCD[500]QED, and $R$$^{D → π}_{μ/e}$ = 0.98099(10)QCD[500]QED, which are consistent within 2σ with experimental measurements. Our extractions of |Vcd| and |Vcs|, when combined with a value for |Vcb|, provide the most precise test of second-row Cabibbo-Kobayashi-Maskawa unitarity, finding agreement with unitarity at the level of one standard deviation.},
doi = {10.1103/PhysRevD.107.094516},
journal = {Physical Review. D.},
number = 9,
volume = 107,
place = {United States},
year = {Wed May 31 00:00:00 EDT 2023},
month = {Wed May 31 00:00:00 EDT 2023}
}
https://doi.org/10.1103/PhysRevD.107.094516
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