Abstract
Utilizing 7.33 fb−1 of e+e− collision data taken at the center-of-mass energies of 4.128, 4.157, 4.178, 4.189, 4.199, 4.209, 4.219, and 4.226 GeV with the BESIII detector, the branching fraction of the leptonic decay \( {D}_s^{+} \) → τ+ντ via τ+ → μ+νμ\( \overline{\nu} \)τ is measured to be \( {\mathcal{B}}_{D_s^{+}\to {\tau}^{+}{\nu}_{\tau }} \) = (5.37 ± 0.17stat ± 0.15syst)%. Combining this branching fraction with the world averages of the measurements of the masses of τ+ and \( {D}_s^{+} \) as well as the lifetime of \( {D}_s^{+} \), we extract the product of the decay constant of \( {D}_s^{+} \) and the c → s Cabibbo-Kobayashi-Maskawa matrix element to be \( {f}_{D_s^{+}} \)|Vcs| = (246.7 ± 3.9stat ± 3.6syst) MeV. Taking |Vcs| from a global fit in the standard model we obtain \( {f}_{D_s^{+}} \) = (253.4 ± 4.0stat ± 3.7syst) MeV. Conversely, taking \( {f}_{D_s^{+}} \) from lattice quantum chromodynamics calculations, we obtain |Vcs| = 0.987 ± 0.016stat ± 0.014syst.
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Acknowledgments
The BESIII collaboration thanks the staff of BEPCII and the IHEP computing center for their strong support. This work is supported in part by National Key R&D Program of China under Contracts Nos. 2020YFA0406400, 2020YFA0406300; National Natural Science Foundation of China (NSFC) under Contracts Nos. 11875170, 12105076, 11635010, 11735014, 11835012, 11935015, 11935016, 11935018, 11961141012, 12022510, 12025502, 12035009, 12035013, 12061131003, 12192260, 12192261, 12192262, 12192263, 12192264, 12192265; the Chinese Academy of Sciences (CAS) Large-Scale Scientific Facility Program; the CAS Center for Excellence in Particle Physics (CCEPP); Joint Large-Scale Scientific Facility Funds of the NSFC and CAS under Contract No. U1832207; CAS Key Research Program of Frontier Sciences under Contracts Nos. QYZDJ-SSW-SLH003, QYZDJ-SSW-SLH040; 100 Talents Program of CAS; The Institute of Nuclear and Particle Physics (INPAC) and Shanghai Key Laboratory for Particle Physics and Cosmology; ERC under Contract No. 758462; European Union’s Horizon 2020 research and innovation programme under Marie Sklodowska-Curie grant agreement under Contract No. 894790; German Research Foundation DFG under Contracts Nos. 443159800, 455635585, Collaborative Research Center CRC 1044, FOR5327, GRK 2149; Istituto Nazionale di Fisica Nucleare, Italy; Ministry of Development of Turkey under Contract No. DPT2006K-120470; National Research Foundation of Korea under Contract No. NRF-2022R1A2C1092335; National Science and Technology fund; National Science Research and Innovation Fund (NSRF) via the Program Management Unit for Human Resources & Institutional Development, Research and Innovation under Contract No. B16F640076; Polish National Science Centre under Contract No. 2019/35/O/ST2/02907; Suranaree University of Technology (SUT), Thailand Science Research and Innovation (TSRI), and National Science Research and Innovation Fund (NSRF) under Contract No. 160355; The Royal Society, U.K. under Contract No. DH160214; The Swedish Research Council; U.S. Department of Energy under Contract No. DE-FG02-05ER41374.
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The BESIII collaboration., Ablikim, M., Achasov, M.N. et al. Measurement of the branching fraction of \( {\textrm{D}}_{\textrm{s}}^{+} \) → τ+ντ via τ+ → μ+νμ\( \overline{\nu} \)τ. J. High Energ. Phys. 2023, 124 (2023). https://doi.org/10.1007/JHEP09(2023)124
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DOI: https://doi.org/10.1007/JHEP09(2023)124