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Determination of the Pseudoscalar Decay Constant F_{d_{s}^{+}} Via D_{s}^{+}→μ^{+}ν_{μ}.

M Ablikim, M N AchasovB S Zou,J H Zou

Physical Review Letters(2019)SCI 1区

Institute of High Energy Physics | G.I. Budker Institute of Nuclear Physics SB RAS (BINP) | Helmholtz Institute Mainz | Bochum Ruhr-University | University of Turin | Southeast University | Joint Institute for Nuclear Research | INFN Laboratori Nazionali di Frascati | Peking University | Institute of Physics and Technology | Indiana University | Carnegie Mellon University | Johannes Gutenberg University of Mainz | INFN Sezione di Ferrara | Wuhan University | Ankara University | Istanbul Bilgi University | INFN | University of South China | Nanjing University | Shanghai Jiao Tong University | Liaoning University | Nankai University | Zhengzhou University | Tsinghua University | University of Eastern Piedmont | Central China Normal University | University of Minnesota | GSI Helmholtzcentre for Heavy Ion Research GmbH | Guangxi University | Nanjing Normal University | Shandong Normal University | KVI-CART | Henan Normal University | University of Hawaii | Shandong University | University of the Punjab | Uppsala University | Huangshan College | University of Jinan | University of Muenster | Soochow University | Beijing Institute of Petrochemical Technology | China Center of Advanced Science and Technology | Sun Yat-Sen University | Sichuan University | Guangxi Normal University | Indian Institute of Technology Madras | Shanxi University | Henan University of Science and Technology | University of Chinese Academy of Sciences | Lanzhou University | Zhejiang University | INFN and University of Perugia | COMSATS University Islamabad | Seoul National University | Beihang University | University of Ferrara | Hunan Normal University | Uludag University | Near East University | Hunan University | Hangzhou Normal University | Xinyang Normal University | University of Science and Technology of China | University of Science and Technology Liaoning

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Abstract
Using a 3.19  fb^{-1} data sample collected at an e^{+}e^{-} center-of-mass energy of E_{cm}=4.178  GeV with the BESIII detector, we measure the branching fraction of the leptonic decay D_{s}^{+}→μ^{+}ν_{μ} to be B_{D_{s}^{+}→μ^{+}ν_{μ}}=(5.49±0.16_{stat}±0.15_{syst})×10^{-3}. Combining our branching fraction with the masses of the D_{s}^{+} and μ^{+} and the lifetime of the D_{s}^{+}, we determine f_{D_{s}^{+}}|V_{cs}|=246.2±3.6_{stat}±3.5_{syst}  MeV. Using the c→s quark mixing matrix element |V_{cs}| determined from a global standard model fit, we evaluate the D_{s}^{+} decay constant f_{D_{s}^{+}}=252.9±3.7_{stat}±3.6_{syst}  MeV. Alternatively, using the value of f_{D_{s}^{+}} calculated by lattice quantum chromodynamics, we find |V_{cs}|=0.985±0.014_{stat}±0.014_{syst}. These values of B_{D_{s}^{+}→μ^{+}ν_{μ}}, f_{D_{s}^{+}}|V_{cs}|, f_{D_{s}^{+}} and |V_{cs}| are each the most precise results to date.
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