Updated measurement of the branching fraction of $D_s^+\to
\tau^+\nu_\tau$ via $\tau^+\to\pi^+\bar{\nu}_\tau$
BESIII Collaboration,M. Ablikim,M. N. Achasov,P. Adlarson,X. C. Ai,R. Aliberti,A. Amoroso,M. R. An,Q. An,Y. Bai,O. Bakina,I. Balossino,Y. Ban,V. Batozskaya,K. Begzsuren,N. Berger,M. Berlowski,M. Bertani,D. Bettoni,F. Bianchi,E. Bianco,J. Bloms,A. Bortone,I. Boyko,R. A. Briere,A. Brueggemann,H. Cai,X. Cai,A. Calcaterra,G. F. Cao,N. Cao,S. A. Cetin,J. F. Chang,T. T. Chang,W. L. Chang,G. R. Che,G. Chelkov,C. Chen,Chao Chen,G. Chen,H. S. Chen,M. L. Chen,S. J. Chen,S. M. Chen,T. Chen,X. R. Chen,X. T. Chen,Y. B. Chen,Y. Q. Chen,Z. J. Chen,W. S. Cheng,S. K. Choi,X. Chu,G. Cibinetto,S. C. Coen,F. Cossio,J. J. Cui,H. L. Dai,J. P. Dai,A. Dbeyssi,R. E. de Boer,D. Dedovich,Z. Y. Deng,A. Denig,I. Denysenko,M. Destefanis,F. De Mori,B. Ding,X. X. Ding,Y. Ding,J. Dong,L. Y. Dong,M. Y. Dong,X. Dong,S. X. Du,Z. H. Duan,P. Egorov,Y. L. Fan,J. Fang,S. S. Fang,W. X. Fang,Y. Fang,R. Farinelli,L. Fava,F. Feldbauer,G. Felici,C. Q. Feng,J. H. Feng,K Fischer,M. Fritsch,C. Fritzsch,C. D. Fu,J. L. Fu,Y. W. Fu,H. Gao,Y. N. Gao,Yang Gao,S. Garbolino,I. Garzia,P. T. Ge,Z. W. Ge,C. Geng,E. M. Gersabeck,A Gilman,K. Goetzen,L. Gong,W. X. Gong,W. Gradl,S. Gramigna,M. Greco,M. H. Gu,Y. T. Gu,C. Y Guan,Z. L. Guan,A. Q. Guo,L. B. Guo,M. J. Guo,R. P. Guo,Y. P. Guo,A. Guskov,T. T. Han,W. Y. Han,X. Q. Hao,F. A. Harris,K. K. He,K. L. He,F. H H. Heinsius,C. H. Heinz,Y. K. Heng,C. Herold,T. Holtmann,P. C. Hong,G. Y. Hou,X. T. Hou,Y. R. Hou,Z. L. Hou,H. M. Hu,J. F. Hu,T. Hu,Y. Hu,G. S. Huang,K. X. Huang,L. Q. Huang,X. T. Huang,Y. P. Huang,T. Hussain,N Hüsken,W. Imoehl,M. Irshad,J. Jackson,S. Jaeger,S. Janchiv,J. H. Jeong,Q. Ji,Q. P. Ji,X. B. Ji,X. L. Ji,Y. Y. Ji,X. Q. Jia,Z. K. Jia,P. C. Jiang,S. S. Jiang,T. J. Jiang,X. S. Jiang,Y. Jiang,J. B. Jiao,Z. Jiao,S. Jin,Y. Jin,M. Q. Jing,T. Johansson,X. K.,S. Kabana,N. Kalantar-Nayestanaki,X. L. Kang,X. S. Kang,R. Kappert,M. Kavatsyuk,B. C. Ke,A. Khoukaz,R. Kiuchi,R. Kliemt,O. B. Kolcu,B. Kopf,M. Kuessner,A. Kupsc,W. Kühn,J. J. Lane,P. Larin,A. Lavania,L. Lavezzi,T. 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arxiv（2023）
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摘要
We report the updated study of $D_s^+\to \tau^+\nu$ via $\tau^+\to\pi^+\bar{\nu}_\tau$ with a boosted decision trees analysis, with $7.33$ fb$^{-1}$ of $e^{+}e^{-}$ collision data collected by the BESIII detector at center-of-mass energies between $4.128$ and $4.226$~GeV. The branching fraction of $D_s^+\to \tau^+\nu_\tau$ is determined to be $(5.41\pm0.17_{\rm stat}\pm0.13_{\rm syst})\%$. The product of the $D_s^+$ decay constant $f_{D_s^+}$ and the Cabibbo-Kobayashi-Maskawa matrix element $|V_{cs}|$ is $f_{D_s^+}|V_{cs}| = (247.6\pm3.9_{\rm stat}\pm3.2_{\rm syst}\pm1.0_{\rm input})~\mathrm{MeV}$. Combining with the $|V_{cs}|$ obtained from the global fit in the Standard Model and the $f_{D_s^+}$ from the lattice quantum chromodynamics, we determine $|V_{cs}| = 0.991\pm0.015_{\rm stat}\pm0.013_{\rm syst}\pm0.004_{\rm input}$ and $f_{D_s^+} = (254.3\pm4.0_{\rm stat}\pm3.3_{\rm syst}\pm1.0_{\rm input})~\text{MeV}$, respectively. All results of $D_s^+\to\tau^+\nu_\tau$ via $\tau^+\to\pi^+\bar{\nu}_\tau$ obtained in this work supersede the BESIII previous results based on 6.32 fb$^{-1}$ of $e^+e^-$ collision data taken at center-of-mass energies between $4.178$ and $4.226$~GeV.
