Measurement of the branching fraction of leptonic decay $D_s^+\toτ^+ν_τ$ via $τ^+\toπ^+π^0\bar ν_τ$
Creators: name: Ablikim, M.
name: Achasov, M. N.
name: Adlarson, P.
name: Ahmed, S.
name: Albrecht, M.
name: Aliberti, R.
name: Amoroso, A.
name: An, M. R.
name: An, Q.
name: Bai, X. H.
name: Bai, Y.
name: Bakina, O.
name: Ferroli, R. Baldini
name: Balossino, I.
name: Ban, Y.
name: Begzsuren, K.
name: Berger, N.
name: Bertani, M.
name: Bettoni, D.
name: Bianchi, F.
name: Bloms, J.
name: Bortone, A.
name: Boyko, I.
name: Briere, R. A.
name: Cai, H.
name: Cai, X.
name: Calcaterra, A.
name: Cao, G. F.
name: Cao, N.
name: Cetin, S. A.
name: Chang, J. F.
name: Chang, W. L.
name: Chelkov, G.
name: Chen, D. Y.
name: Chen, G.
name: Chen, H. S.
name: Chen, M. L.
name: Chen, S. J.
name: Chen, X. R.
name: Chen, Y. B.
name: Chen, Z. J
name: Cheng, W. S.
name: Cibinetto, G.
name: Cossio, F.
name: Cui, X. F.
name: Dai, H. L.
name: Dai, X. C.
name: Dbeyssi, A.
name: de Boer, R. E.
name: Dedovich, D.
name: Deng, Z. Y.
name: Denig, A.
name: Denysenko, I.
name: Destefanis, M.
name: De Mori, F.
name: Ding, Y.
name: Dong, C.
name: Dong, J.
name: Dong, L. Y.
name: Dong, M. Y.
name: Dong, X.
name: Du, S. X.
name: Fan, Y. L.
name: Fang, J.
name: Fang, S. S.
name: Fang, Y.
name: Farinelli, R.
name: Fava, L.
name: Feldbauer, F.
name: Felici, G.
name: Feng, C. Q.
name: Feng, J. H.
name: Fritsch, M.
name: Fu, C. D.
name: Gao, Y.
name: Gao, Y.
name: Gao, Y.
name: Gao, Y. G.
name: Garzia, I.
name: Ge, P. T.
name: Geng, C.
name: Gersabeck, E. M.
name: Gilman, A
name: Goetzen, K.
name: Gong, L.
name: Gong, W. X.
name: Gradl, W.
name: Greco, M.
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name: Guan, C. Y
name: Guo, A. Q.
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name: Guskov, A.
name: Han, T. T.
name: Han, W. Y.
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name: Harris, F. A.
name: He, K. L.
name: Heinsius, F. H.
name: Heinz, C. H.
name: Held, T.
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name: Holtmann, T.
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name: Hussain, T.
name: Hüsken, N
name: Andersson, W. Ikegami
name: Imoehl, W.
name: Irshad, M.
name: Jaeger, S.
name: Janchiv, S.
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name: Li, Cheng
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name: Pathak, A.
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name: Peters, K.
name: Pettersson, J.
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name: Ping, R. G.
name: Poling, R.
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name: Zhou, X. K.
name: Zhou, X. R.
name: Zhou, X. Y.
name: Zhu, A. N.
name: Zhu, J.
name: Zhu, K.
name: Zhu, K. J.
name: Zhu, S. H.
name: Zhu, T. J.
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Publisher: name: arXiv
Year: 2021
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: By analyzing $6.32~\mathrm{fb}^{-1}$ of $e^+e^-$ annihilation data collected at the center-of-mass energies between 4.178 and 4.226\,GeV with the BESIII detector, we determine the branching fraction of the leptonic decay $D_s^+\toτ^+ν_τ$ with $τ^+\toπ^+π^0\bar ν_τ$, to be $\mathcal{B}_{D_s^+\toτ^+ν_τ}=(5.29\pm0.25_{\rm stat}\pm0.20_{\rm syst})\%$. We estimate the product of the Cabibbo-Kobayashi-Maskawa matrix element $|V_{cs}|$ and the $D_s^+$ decay constant $f_{D^+_s}$ to be $f_{D_s^+}|V_{cs}|=(244.8\pm5.8_{\rm stat}\pm4.8_{\rm syst})~\mathrm{MeV}$ using the known values of the $τ^+$ and $D_s^+$ masses as well as the $D_s^+$ lifetime, together with our branching fraction measurement. Combining with the value of $|V_{cs}|$ obtained from a global fit in the standard model and $f_{D_s^+}$ from lattice quantum chromodynamics, we obtain $f_{D_s^+}=(251.6\pm5.9_{\rm stat}\pm4.9_{\rm syst})$\,MeV and $|V_{cs}| = 0.980\pm0.023_{\rm stat}\pm0.019_{\rm syst}$.