Measurement of the branching fraction of leptonic decay Ds+→τ+ντ
M. Ablikim,М. Н. Ачасов,P. Adlarson,S. Ahmed,M. Albrecht,R. Aliberti,A. Amoroso,M. R. An,Q. An,X. H. Bai,Y. Bai,O. Bakina,R. Baldini Ferroli,I. Balossino,Y. Ban,K. Begzsuren,N. Berger,M. Bertani,D. Bettoni,F. Bianchi,J. Bloms,A. Bortone,I. R. Boyko,R. A. Briere,H. Cai,X. Cai,A. Calcaterra,G. F. Cao,N. Cao,S. A. Çetin,J. F. Chang,W. L. Chang,G. Chelkov,D. Y. Chen,G. Chen,H. S. Chen,M. L. Chen,S. J. Chen,X. R. Chen,Y. B. Chen,Z. J Chen,W. S. Cheng,G. Cibinetto,F. Cossio,X. F. Cui,H. L. Dai,X. C. Dai,A. Dbeyssi,R. E. de Boer,D. Dedovich,Z. Y. Deng,A. Denig,I. Denysenko,M. Destefanis,F. De Mori,Y. Ding,C. Dong,J. Dong,L. Y. Dong,M. Y. Dong,X. Dong,S. X. Du,Y. L. Fan,J. Fang,S. S. Fang,Y. Fang,R. Farinelli,L. Fava,F. Feldbauer,G. Felici,C. Q. Feng,J. H. Feng,M. Fritsch,C. D. Fu,Y. Gao,Y. Gao,I. Garzia,P. Ge,C. Geng,E. Gersabeck,A. Gilman,K. Goetzen,L. Gong,W. X. Gong,W. Gradl,M. Greco,L. M. Gu,M. H. Gu,S. Gu,Y. T. Gu,C. Y. Guan,A. Q. Guo,L. B. Guo,R. P. Guo,Y. P. Guo,A. Guskov,Tao Han,W. Y. Han,X. Q. Hao,F. A. Harris,K. L. He,F. H. Heinsius,C. Heinz,T. Held,Y. K. Heng,C. Herold,M. Himmelreich,T. Holtmann,G. Y. Hou,Y. R. Hou,Z. L. Hou,H. M. Hu,J. F. Hu,T. Hu,Y. Hu,G. S. Huang,L. Q. Huang,X. T. Huang,Y. Huang,Z. Huang,T. Hussain,N. Hüsken,W. Ikegami Andersson,W. Imoehl,M. Irshad,S. Jaeger,S. Janchiv,Q. Ji,Q. P. Ji,X. B. Ji,X. L. Ji,Y. Y. Ji,H. B. Jiang,X. S. Jiang,J. B. Jiao,Z. Jiao,S. Jin,Y. Jin,M. Q. Jing,T. Johansson,N. Kalantar‐Nayestanaki,X. S. Kang,R. Kappert,M. Kavatsyuk,B. C. Ke,I. K. Keshk,A. Khoukaz,P. Kiese,R. Kiuchi,R. Kliemt,L. Koch,O. B. Kolcu,B. Kopf,M. Kuemmel,M. Kuessner,A. Kupść,M. G. Kurth,W. Kühn,J. J. Lane,J. S. Lange,P. Larin,A. Lavania,L. Lavezzi,Z. H. Lei,H. Leithoff,M. Lellmann,T. Lenz,C. Li,C. H. Li,Cheng Li,D. M. Li,F. Li,G. Li,H. Li,H. B. Li,H. J. Li,J. L. Li,J. Q. Li,J. S. Li,Ké Li,L. K. Li,Lei Li,P. R. Li,S. Y. Li,W. D. Li,W. G. Li,X. H. Li,X. L. Li,Xiaoyü Li,Z. Y. Li,Han Liu,Y. F. Liang,Y. T. Liang,G. R. Liao,L. Z. Liao,J. Libby,C. X. Lin,B. J. Liu,C. X. Liu,D. Liu,F. H. Liu,Fang Liu,Feng Liu,H. B. Liu,H. M. Liu,Huanhuan Liu,Huihui Liu,J. B. Liu,J. L. Liu,J. Y. Liu,K. Liu,K. Y. Liu,L. Liu,M. H. Liu,P. L. Liu,Q. Liu,S. B. Liu,Shuai Liu,T. Liu,W. M. Liu,X. Liu,Y. Liu,Y. B. Liu,Z. A. Liu,Z. Q. Liu,X. Lou,F. X. Lu,H. J. Lü,J. D. Lu,J. G. Lü,X. L. Lu,Y. P. Lu,Y. P. Lu,C. L. Luo,M. X. Luo,P. W. Luo,T. Luo,X. L. Luo,X. R. Lyu,F. C.,H. L.,L. L.,M. M.,Q. M.,R. Q.,R. T.,X. X.,X. Y.,F. E. Maas,M. Maggiora,S. Maldaner,S. Malde,Q. A. Malik,A. Mangoni,Y. J. Mao,Z. P. Mao,S. Marcello,Z. Meng,J. G. Messchendorp,G. Mezzadri,T. J. Min,R. E. Mitchell,X. H. Mo,Y. J. Mo,N. Yu. Muchnoi,H. Muramatsu,S. Nakhoul,Y. Nefedov,F. Nerling,I. B. Nikolaev,Z. Ning,S. Nisar,S. L. Olsen,Q. Ouyang,S. Pacetti,X. Pan,Y. Pan,A. Pathak,P. Patterí,M. Pelizaeus,H. Peng,K. Peters,J. Pettersson,J. L. Ping,R. G. Ping,R. Poling,V. Prasad,H. R. Qi,H. R. Qi,K. H. Qi,M. Qi,T. Y. Qi,S. J. Qian,W. Qian,Z. Qian,C. F. Qiao,Qin Liu,X. P. Qin,X. S. Qin,Z. H. Qin,J. F. Qiu,S. Q. Qu,K. H. Rashid,K. Ravindran,C. F. Redmer,A. Rivetti,V. Rodin,M. Rolo,G. Rong,Ch. Rosner,M. Rump,H. S. Sang,A. Sarantsev,Y. Schelhaas,C. Schnier,K. Schoenning,M. Scodeggio,D. C. Shan,W. Shan,X. Y. Shan,J. F. Shangguan,M. Shao,C. P. Shen,H. F. Shen,P. X. Shen,X. Y. Shen,H. C. Shi,R. S. Shi,X. Shi,X. Shi,J. J. Song,W. M. Song,Y. X. Song,S. Sosio,S. Spataro,K. X. Su,P. P. Su,F. F. Sui,G. X. Sun,H. K. Sun,J. F. Sun,L. Sun,S. S. Sun,T. Sun,W. Y. Sun,X. H. Sun,Y. J. Sun,Y. Sun,Y. Z. Sun,Z. T. Sun,Y. H. Tan,Y. X. Tan,C. J. Tang,G. Y. Tang,J. Tang,J. X. Teng,V. Thoren,W. H. Tian,Y. Tian,I. Uman,B. Wang,C. W. Wang,D. Y. Wang,H. J. Wang,H. P. Wang,K. Wang,L. L. Wang,M. Wang,M. Z. Wang,Meng Wang,W. Wang,W. H. Wang,W. P. Wang,X. Wang,X. F. Wang,X. L. Wang,Y. Wang,Y. D. Wang,Y. F. Wang,Y. Q. Wang,Y. Y. Wang,Z. Wang,Z. Y. Wang,Ziyi Wang,Zongyuan Wang,D. H. Wei,F. Weidner,S. P. Wen,D. J. White,U. Wiedner,G. Wilkinson,M. Wolke,L. Wollenberg,Jian Wu,L. H. Wu,L. J. Wu,X. Wu,Z. Wu,L. Xia,H. Xiao,S. Y. Xiao,Z. J. Xiao,X. H. Xie,Y. Xie,Y. Xie,T. Y. Xing,G. F. Xu,Q. J. Xu,W. Xu,X. P. Xu,Y. C. Xu,F. Yan,L. Yan,W. B. Yan,W. C. Yan,Xu Yan,H. J. Yang,H. X. Yang,L. Yang,S. L. Yang,Yifan Yang,Yifan Yang,Z. Yang,M. Ye,M. H. Ye,J. H. Yin,You Zhou,B. X. Yu,C. X. Yu,G. Yu,J. S. Yu,T. Yu,C. Z. Yuan,L. Yuan,X. Q. Yuan,Y. Yuan,Z. Y. Yuan,C. X. Yue,A. A. Zafar,X. Zeng,Y. Zeng,A. Q. Zhang,B. X. Zhang,Guangyi Zhang,H. Zhang,H. H. Zhang,H. Y. Zhang,J. J. Zhang,J. L. Zhang,J. Q. Zhang,J. W. Zhang,J. Y. Zhang,J. Z. Zhang,Jianyu Zhang,Jiawei Zhang,L. M. Zhang,L. Q. Zhang,Lei Zhang,S. Zhang,S. F. Zhang,Shulei Zhang,X. D. Zhang,X. Y. Zhang,Y. Zhang,Y. T. Zhang,Y. H. Zhang,Yan Zhang,Yao Zhang,Z. H. Zhang,Z. Y. Zhang,G. Zhao,J. W. Zhao,J. Y. Zhao,J. Z. Zhao,Zhao Liu,Ling Zhao,M. G. Zhao,Q. Zhao,S. J. Zhao,Y. B. Zhao,Y. X. Zhao,Z. G. Zhao,A. Zhemchugov,B. Zheng,J. P. Zheng,Y. Zheng,Y. Zheng,B. Zhong,Zhong Chen,Zhou Li,Q. Zhou,Xiaokang Zhou,X. K. Zhou,X. R. Zhou,X. Y. Zhou,A. N. Zhu,J. Zhu,K. J. Zhu,K. J. Zhu,S. H. Zhu,T. J. Zhu,W. J. Zhu,Y. Zhu,Z. A. Zhu,B. S. Zou,J. H. Zou
Physical Review D（2021）
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摘要
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 $D_s^+\to\tau^+\nu_\tau$ with $\tau^+\to\pi^+\pi^0\bar \nu_\tau$, to be $\mathcal{B}_{D_s^+\to\tau^+\nu_\tau}=(5.29\pm0.25_{\rm stat}\pm0.20_{\rm syst})\%$. 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 $\tau^+$ 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 $|V_{cs}| = 0.980\pm0.023_{\rm stat}\pm0.019_{\rm syst}$.
