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D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD

Alexei Bazavov, Carleton DeTar, Aida X. El-Khadra, Elvira Gámiz, Zechariah Gelzer, Steven Gottlieb, William I. Jay, Hwancheol Jeong, Andreas S. Kronfeld, Ruizi Li, Andrew T. Lytle, Paul B. Mackenzie, Ethan T. Neil, Thomas Primer, James N. Simone, Robert L. Sugar, Doug Toussaint, Ruth S. Van de Water, and Alejandro Vaquero (Fermilab Lattice and MILC Collaborations)
Phys. Rev. D 107, 094516 – Published 31 May 2023
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Abstract

We present lattice-QCD calculations of the hadronic form factors for the semileptonic decays Dπν, DKν, and DsKν. 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 a0.12fm 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|Dπ=0.2238(11)Expt(15)QCD(04)EW(02)SIB[22]QED and |Vcs|DK=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|DsK=0.258(15)Expt(01)QCD[03]QED from DsKlν. Our results also furnish new Standard Model calculations of the lepton flavor universality ratios Rμ/eDπ=0.98671(17)QCD[500]QED, Rμ/eDK=0.97606(16)QCD[500]QED, and Rμ/eDsK=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.

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  • Received 4 January 2023
  • Accepted 11 May 2023

DOI:https://doi.org/10.1103/PhysRevD.107.094516

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Alexei Bazavov1, Carleton DeTar2, Aida X. El-Khadra3,4, Elvira Gámiz5, Zechariah Gelzer3, Steven Gottlieb6, William I. Jay7,*, Hwancheol Jeong6, Andreas S. Kronfeld8, Ruizi Li6, Andrew T. Lytle3,4, Paul B. Mackenzie8, Ethan T. Neil9, Thomas Primer10, James N. Simone8, Robert L. Sugar11, Doug Toussaint10, Ruth S. Van de Water8, and Alejandro Vaquero2,12 (Fermilab Lattice and MILC Collaborations)

  • 1Department of Computational Mathematics, Science and Engineering, and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
  • 2Department of Physics and Astronomy, University of Utah, Salt Lake City, Utah 84112, USA
  • 3Department of Physics, University of Illinois, Urbana, Illinois, 61801, USA
  • 4Illinois Center for Advanced Studies of the Universe, University of Illinois, Urbana, Illinois, 61801, USA
  • 5CAFPE and Departamento de Física Teórica y del Cosmos, Universidad de Granada, E-18071 Granada, Spain
  • 6Department of Physics, Indiana University, Bloomington, Indiana 47405, USA
  • 7Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 8Theory Division, Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA
  • 9Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
  • 10Department of Physics, University of Arizona, Tucson, Arizona 85721, USA
  • 11Department of Physics, University of California, Santa Barbara, California 93106, USA
  • 12Departmento de Física Teórica, Universidad de Zaragoza, 50009 Zaragoza, Spain

  • *willjay@mit.edu

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Vol. 107, Iss. 9 — 1 May 2023

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