Measurement of the branching fraction of $D_s^+\to τ^+ ν_τ$ via $τ^+ \to μ^+ ν_μ\bar{ν_τ}$
Creators: name: BESIII Collaboration
name: Ablikim, M.
name: Achasov, M. N.
name: Adlarson, P.
name: Aliberti, R.
name: Amoroso, A.
name: An, M. R.
name: An, Q.
name: Bai, Y.
name: Bakina, O.
name: Balossino, I.
name: Ban, Y.
name: Batozskaya, V.
name: Begzsuren, K.
name: Berger, N.
name: Bertani, M.
name: Bettoni, D.
name: Bianchi, F.
name: Bianco, E.
name: Bloms, J.
name: Bortone, A.
name: Boyko, I.
name: Briere, R. A.
name: Brueggemann, 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, T. T.
name: Chang, W. L.
name: Che, G. R.
name: Chelkov, G.
name: Chen, C.
name: Chen, Chao
name: Chen, G.
name: Chen, H. S.
name: Chen, M. L.
name: Chen, S. J.
name: Chen, S. M.
name: Chen, T.
name: Chen, X. R.
name: Chen, X. T.
name: Chen, Y. B.
name: Chen, Y. Q.
name: Chen, Z. J.
name: Cheng, W. S.
name: Choi, S. K.
name: Chu, X.
name: Cibinetto, G.
name: Coen, S. C.
name: Cossio, F.
name: Cui, J. J.
name: Dai, H. L.
name: Dai, J. P.
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, B.
name: Ding, X. X.
name: Ding, Y.
name: Ding, Y.
name: Dong, J.
name: Dong, L. Y.
name: Dong, M. Y.
name: Dong, X.
name: Du, S. X.
name: Duan, Z. H.
name: Egorov, P.
name: Fan, Y. L.
name: Fang, J.
name: Fang, S. S.
name: Fang, W. X.
name: Fang, Y.
name: Farinelli, R.
name: Fava, L.
name: Feldbauer, F.
name: Felici, G.
name: Feng, C. Q.
name: Feng, J. H.
name: Fischer, K
name: Fritsch, M.
name: Fritzsch, C.
name: Fu, C. D.
name: Fu, Y. W.
name: Gao, H.
name: Gao, Y. N.
name: Gao, Yang
name: Garbolino, S.
name: Garzia, I.
name: Ge, P. T.
name: Ge, Z. W.
name: Geng, C.
name: Gersabeck, E. M.
name: Gilman, A
name: Goetzen, K.
name: Gong, L.
name: Gong, W. X.
name: Gradl, W.
name: Gramigna, S.
name: Greco, M.
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name: Guo, Y. P.
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name: Heinsius, F. H.
name: Heinz, C. H.
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name: Lenz, T.
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name: Liu, Huanhuan
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Publisher: name: arXiv
Year: 2023
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: Utilizing $7.33~\mathrm{fb}^{-1}$ 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 $D_s^+\toτ^+ν_τ$ via $τ^+\toμ^+ν_μ\bar ν_τ$ is measured to be $\mathcal{B}_{D_s^+\toτ^+ν_τ}=(5.34\pm0.16_{\rm stat}\pm0.10_{\rm syst})\%$. 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 $c\to s$ Cabibbo-Kobayashi-Maskawa matrix element to be $f_{D_s^+}|V_{cs}|=(246.2\pm3.7_{\rm stat}\pm2.5_{\rm syst})~\mathrm{MeV}$. Taking $|V_{cs}|$ from a global fit in the standard model we obtain $f_{D_s^+}=(252.7\pm3.8_{\rm stat}\pm2.6_{\rm syst})$ MeV. Conversely, taking $f_{D_s^+}$ from lattice quantum chromodynamics calculations, we obtain $|V_{cs}| = 0.984\pm0.015_{\rm stat}\pm0.010_{\rm syst}$.
description: 26 pages, 8 figures