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Title: D -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:
; ORCiD logo; ORCiD logo; ; ; ORCiD logo; ORCiD logo; ORCiD logo; ORCiD logo; ; ORCiD logo; ORCiD logo; ; ORCiD logo; ORCiD logo; ; ; ; ORCiD logo;
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}
}

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  • DOI: 10.1007/JHEP12(2017)008

Scaling studies of QCD with the dynamical highly improved staggered quark action
journal, October 2010


Heavy meson chiral perturbation theory in finite volume
journal, July 2004


Measurement of the D * ( 2010 ) + natural linewidth and the D * ( 2010 ) + D 0 mass difference
journal, September 2013


Search for charm
journal, April 1975

  • Gaillard, Mary K.; Lee, Benjamin W.; Rosner, Jonathan L.
  • Reviews of Modern Physics, Vol. 47, Issue 2
  • DOI: 10.1103/RevModPhys.47.277

Large mW, mZ behaviour of the O(α) corrections to semileptonic processes mediated by W
journal, March 1982


Measurement of D 0 π l ν ( K l ν ) Form Factors and Absolute Branching Fractions
journal, August 2006


Scrutinizing CKM unitarity with a new measurement of the K3/K2 branching fraction
journal, March 2023


The kaon semileptonic form factor in N f = 2 + 1 domain wall lattice QCD with physical light quark masses
journal, June 2015

  • Boyle, P. A.; Christ, N. H.; Flynn, J. M.
  • Journal of High Energy Physics, Vol. 2015, Issue 6
  • DOI: 10.1007/JHEP06(2015)164

Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
journal, December 2004


Reduced Hadronic Uncertainty in the Determination of V u d
journal, December 2018


Evidence for top quark production in p ¯ p collisions at √ s =1.8 TeV
journal, September 1994


Effects of nonequilibrated topological charge distributions on pseudoscalar meson masses and decay constants
journal, April 2018


B ( s ) 0 -mixing matrix elements from lattice QCD for the Standard Model and beyond
journal, June 2016


First Measurement of the Form Factors in D s + K 0 e + ν e and D s + K * 0 e + ν e Decays
journal, February 2019


Spectrum of Dirac operator and role of winding number in QCD
journal, December 1992


Chiral perturbation theory for all-staggered heavy-light mesons
journal, November 2013


| V c d | from D meson leptonic decays
journal, September 2012


Experimental determination of $V_{us}$ from kaon decays
conference, June 2017

  • Moulson, Matthew
  • Proceedings of 9th International Workshop on the CKM Unitarity Triangle — PoS(CKM2016)
  • DOI: 10.22323/1.291.0033

Radiative Corrections toKe30Decays and theΔI=12Rule
journal, October 1968


Measurement of the hadronic form factor in D 0 K e + ν e decays
journal, September 2007


Impacts of radiative corrections on measurements of lepton flavour universality in $${B} \rightarrow {D} \ell {{\nu } _\ell } $$ decays
journal, September 2019


Heavy top-quark mass predictions
journal, June 1989


B K l + l decay form factors from three-flavor lattice QCD
journal, January 2016


Joint lattice QCD–dispersion theory analysis confirms the quark-mixing top-row unitarity deficit
journal, June 2020


Superallowed 0 + 0 + nuclear β decays: 2020 critical survey, with implications for V ud and CKM unitarity
journal, October 2020


Glueball masses and string tension in lattice QCD
journal, June 1987