Open Access

Precision Measurement of the Branching Fraction of $D^{+} \to μ^{+} ν_{μ}$

M. Ablikim¹, M. N. Achasov^4,c, P. Adlarson⁷⁶, O. Afedulidis³, X. C. Ai⁸¹, R. Aliberti³⁵, A. Amoroso^75a,75c, Q. An^72,58,a, Y. Bai⁵⁷ et al. (BESIII Collaboration)

Y. Bai⁵⁷, O. Bakina³⁶, I. Balossino^29a, Y. Ban^46,h, H.-R. Bao⁶⁴, V. Batozskaya^1,44, K. Begzsuren³², N. Berger³⁵, M. Berlowski⁴⁴, M. Bertani^28a, D. Bettoni^29a, F. Bianchi^75a,75c, E. Bianco^75a,75c, A. Bortone^75a,75c, I. Boyko³⁶, R. A. Briere⁵, A. Brueggemann⁶⁹, H. Cai⁷⁷, X. Cai^1,58, A. Calcaterra^28a, G. F. Cao^1,64, N. Cao^1,64, S. A. Cetin^62a, J. F. Chang^1,58, G. R. Che⁴³, G. Chelkov^36,b, C. Chen⁴³, C. H. Chen⁹, Chao Chen⁵⁵, G. Chen¹, H. S. Chen^1,64, H. Y. Chen²⁰, M. L. Chen^1,58,64, S. J. Chen⁴², S. L. Chen⁴⁵, S. M. Chen⁶¹, T. Chen^1,64, X. R. Chen^31,64, X. T. Chen^1,64, Y. B. Chen^1,58, Y. Q. Chen³⁴, Z. J. Chen^25,i, Z. Y. Chen^1,64, S. K. Choi¹⁰, G. Cibinetto^29a, F. Cossio^75c, J. J. Cui⁵⁰, H. L. Dai^1,58, J. P. Dai⁷⁹, A. Dbeyssi¹⁸, R. E. de Boer³, D. Dedovich³⁶, C. Q. Deng⁷³, Z. Y. Deng¹, A. Denig³⁵, I. Denysenko³⁶, M. Destefanis^75a,75c, F. De Mori^75a,75c, B. Ding^67,1, X. X. Ding^46,h, Y. Ding⁴⁰, Y. Ding³⁴, J. Dong^1,58, L. Y. Dong^1,64, M. Y. Dong^1,58,64, X. Dong⁷⁷, M. C. Du¹, S. X. Du⁸¹, Y. Y. Duan⁵⁵, Z. H. Duan⁴², P. Egorov^36,b, Y. H. Fan⁴⁵, J. Fang⁵⁹, J. Fang^1,58, S. S. Fang^1,64, W. X. Fang¹, Y. Fang¹, Y. Q. Fang^1,58, R. Farinelli^29a, L. Fava^75b,75c, F. Feldbauer³, G. Felici^28a, C. Q. Feng^72,58, J. H. Feng⁵⁹, Y. T. Feng^72,58, M. Fritsch³, C. D. Fu¹, J. L. Fu⁶⁴, Y. W. Fu^1,64, H. Gao⁶⁴, X. B. Gao⁴¹, Y. N. Gao^46,h, Yang Gao^72,58, S. Garbolino^75c, I. Garzia^29a,29b, L. Ge⁸¹, P. T. Ge¹⁹, Z. W. Ge⁴², C. Geng⁵⁹, E. M. Gersabeck⁶⁸, A. Gilman⁷⁰, K. Goetzen¹³, L. Gong⁴⁰, W. X. Gong^1,58, W. Gradl³⁵, S. Gramigna^29a,29b, M. Greco^75a,75c, M. H. Gu^1,58, Y. T. Gu¹⁵, C. Y. Guan^1,64, A. Q. Guo^31,64, L. B. Guo⁴¹, M. J. Guo⁵⁰, R. P. Guo⁴⁹, Y. P. Guo^12,g, A. Guskov^36,b, J. Gutierrez²⁷, K. L. Han⁶⁴, T. T. Han¹, F. Hanisch³, X. Q. Hao¹⁹, F. A. Harris⁶⁶, K. K. He⁵⁵, K. L. He^1,64, F. H. Heinsius³, C. H. Heinz³⁵, Y. K. Heng^1,58,64, C. Herold⁶⁰, T. Holtmann³, P. C. Hong³⁴, G. Y. Hou^1,64, X. T. Hou^1,64, Y. R. Hou⁶⁴, Z. L. Hou¹, B. Y. Hu⁵⁹, H. M. Hu^1,64, J. F. Hu^56,j, S. L. Hu^12,g, T. Hu^1,58,64, Y. Hu¹, G. S. Huang^72,58, K. X. Huang⁵⁹, L. Q. Huang^31,64, X. T. Huang⁵⁰, Y. P. Huang¹, Y. S. Huang⁵⁹, T. Hussain⁷⁴, F. Hölzken³, N. Hüsken³⁵, N. in der Wiesche⁶⁹, J. Jackson²⁷, S. Janchiv³², J. H. Jeong¹⁰, Q. Ji¹, Q. P. Ji¹⁹, W. Ji^1,64, X. B. Ji^1,64, X. L. Ji^1,58, Y. Y. Ji⁵⁰, X. Q. Jia⁵⁰, Z. K. Jia^72,58, D. Jiang^1,64, H. B. Jiang⁷⁷, P. C. Jiang^46,h, S. S. Jiang³⁹, T. J. Jiang¹⁶, X. S. Jiang^1,58,64, Y. Jiang⁶⁴, J. B. Jiao⁵⁰, J. K. Jiao³⁴, Z. Jiao²³, S. Jin⁴², Y. Jin⁶⁷, M. Q. Jing^1,64, X. M. Jing⁶⁴, T. Johansson⁷⁶, S. Kabana³³, N. Kalantar-Nayestanaki⁶⁵, X. L. Kang⁹, X. S. Kang⁴⁰, M. Kavatsyuk⁶⁵, B. C. Ke⁸¹, V. Khachatryan²⁷, A. Khoukaz⁶⁹, R. Kiuchi¹, O. B. Kolcu^62a, B. Kopf³, M. Kuessner³, X. Kui^1,64, N. Kumar²⁶, A. Kupsc^44,76, W. Kühn³⁷, J. J. Lane⁶⁸, L. Lavezzi^75a,75c, T. T. Lei^72,58, Z. H. Lei^72,58, M. Lellmann³⁵, T. Lenz³⁵, C. Li⁴⁷, C. Li⁴³, C. H. Li³⁹, Cheng Li^72,58, D. M. Li⁸¹, F. Li^1,58, G. Li¹, H. B. Li^1,64, H. J. Li¹⁹, H. N. Li^56,j, Hui Li⁴³, J. R. Li⁶¹, J. S. Li⁵⁹, K. Li¹, K. L. Li¹⁹, L. J. Li^1,64, L. K. Li¹, Lei Li⁴⁸, M. H. Li⁴³, P. R. Li^38,k,l, Q. M. Li^1,64, Q. X. Li⁵⁰, R. Li^17,31, S. X. Li¹², T. Li⁵⁰, W. D. Li^1,64, W. G. Li^1,a, X. Li^1,64, X. H. Li^72,58, X. L. Li⁵⁰, X. Y. Li^1,64, X. Z. Li⁵⁹, Y. G. Li^46,h, Z. J. Li⁵⁹, Z. Y. Li⁷⁹, C. Liang⁴², H. Liang^1,64, H. Liang^72,58, Y. F. Liang⁵⁴, Y. T. Liang^31,64, G. R. Liao¹⁴, Y. P. Liao^1,64, J. Libby²⁶, A. Limphirat⁶⁰, C. C. Lin⁵⁵, D. X. Lin^31,64, T. Lin¹, B. J. Liu¹, B. X. Liu⁷⁷, C. Liu³⁴, C. X. Liu¹, F. Liu¹, F. H. Liu⁵³, Feng Liu⁶, G. M. Liu^56,j, H. Liu^38,k,l, H. B. Liu¹⁵, H. H. Liu¹, H. M. Liu^1,64, Huihui Liu²¹, J. B. Liu^72,58, J. Y. Liu^1,64, K. Liu^38,k,l, K. Y. Liu⁴⁰, Ke Liu²², L. Liu^72,58, L. C. Liu⁴³, Lu Liu⁴³, M. H. Liu^12,g, P. L. Liu¹, Q. Liu⁶⁴, S. B. Liu^72,58, T. Liu^12,g, W. K. Liu⁴³, W. M. Liu^72,58, X. Liu^38,k,l, X. Liu³⁹, Y. Liu⁸¹, Y. Liu^38,k,l, Y. B. Liu⁴³, Z. A. Liu^1,58,64, Z. D. Liu⁹, Z. Q. Liu⁵⁰, X. C. Lou^1,58,64, F. X. Lu⁵⁹, H. J. Lu²³, J. G. Lu^1,58, X. L. Lu¹, Y. Lu⁷, Y. P. Lu^1,58, Z. H. Lu^1,64, C. L. Luo⁴¹, J. R. Luo⁵⁹, M. X. Luo⁸⁰, T. Luo^12,g, X. L. Luo^1,58, X. R. Lyu⁶⁴, Y. F. Lyu⁴³, F. C. Ma⁴⁰, H. Ma⁷⁹, H. L. Ma¹, J. L. Ma^1,64, L. L. Ma⁵⁰, L. R. Ma⁶⁷, M. M. Ma^1,64, Q. M. Ma¹, R. Q. Ma^1,64, T. Ma^72,58, X. T. Ma^1,64, X. Y. Ma^1,58, Y. Ma^46,h, Y. M. Ma³¹, F. E. Maas¹⁸, M. Maggiora^75a,75c, S. Malde⁷⁰, Y. J. Mao^46,h, Z. P. Mao¹, S. Marcello^75a,75c, Z. X. Meng⁶⁷, J. G. Messchendorp^13,65, G. Mezzadri^29a, H. Miao^1,64, T. J. Min⁴², R. E. Mitchell²⁷, X. H. Mo^1,58,64, B. Moses²⁷, N. Yu. Muchnoi^4,c, J. Muskalla³⁵, Y. Nefedov³⁶, F. Nerling^18,e, L. S. Nie²⁰, I. B. Nikolaev^4,c, Z. Ning^1,58, S. Nisar^11,m, Q. L. Niu^38,k,l, W. D. Niu⁵⁵, Y. Niu⁵⁰, S. L. Olsen⁶⁴, Q. Ouyang^1,58,64, S. Pacetti^28b,28c, X. Pan⁵⁵, Y. Pan⁵⁷, A. Pathak³⁴, Y. P. Pei^72,58, M. Pelizaeus³, H. P. Peng^72,58, Y. Y. Peng^38,k,l, K. Peters^13,e, J. L. Ping⁴¹, R. G. Ping^1,64, S. Plura³⁵, V. Prasad³³, F. Z. Qi¹, H. Qi^72,58, H. R. Qi⁶¹, M. Qi⁴², T. Y. Qi^12,g, S. Qian^1,58, W. B. Qian⁶⁴, C. F. Qiao⁶⁴, X. K. Qiao⁸¹, J. J. Qin⁷³, L. Q. Qin¹⁴, L. Y. Qin^72,58, X. P. Qin^12,g, X. S. Qin⁵⁰, Z. H. Qin^1,58, J. F. Qiu¹, Z. H. Qu⁷³, C. F. Redmer³⁵, K. J. Ren³⁹, A. Rivetti^75c, M. Rolo^75c, G. Rong^1,64, Ch. Rosner¹⁸, S. N. Ruan⁴³, N. Salone⁴⁴, A. Sarantsev^36,d, Y. Schelhaas³⁵, K. Schoenning⁷⁶, M. Scodeggio^29a, K. Y. Shan^12,g, W. Shan²⁴, X. Y. Shan^72,58, Z. J. Shang^38,k,l, J. F. Shangguan¹⁶, L. G. Shao^1,64, M. Shao^72,58, C. P. Shen^12,g, H. F. Shen^1,8, W. H. Shen⁶⁴, X. Y. Shen^1,64, B. A. Shi⁶⁴, H. Shi^72,58, H. C. Shi^72,58, J. L. Shi^12,g, J. Y. Shi¹, Q. Q. Shi⁵⁵, S. Y. Shi⁷³, X. Shi^1,58, J. J. Song¹⁹, T. Z. Song⁵⁹, W. M. Song^34,1, Y. J. Song^12,g, Y. X. Song^46,h,n, S. Sosio^75a,75c, S. Spataro^75a,75c, F. Stieler³⁵, S. S. Su⁴⁰, Y. J. Su⁶⁴, G. B. Sun⁷⁷, G. X. Sun¹, H. Sun⁶⁴, H. K. Sun¹, J. F. Sun¹⁹, K. Sun⁶¹, L. Sun⁷⁷, S. S. Sun^1,64, T. Sun^51,f, W. Y. Sun³⁴, Y. Sun⁹, Y. J. Sun^72,58, Y. Z. Sun¹, Z. Q. Sun^1,64, Z. T. Sun⁵⁰, C. J. Tang⁵⁴, G. Y. Tang¹, J. Tang⁵⁹, M. Tang^72,58, Y. A. Tang⁷⁷, L. Y. Tao⁷³, Q. T. Tao^25,i, M. Tat⁷⁰, J. X. Teng^72,58, V. Thoren⁷⁶, W. H. Tian⁵⁹, Y. Tian^31,64, Z. F. Tian⁷⁷, I. Uman^62b, Y. Wan⁵⁵, S. J. Wang⁵⁰, B. Wang¹, B. L. Wang⁶⁴, Bo Wang^72,58, D. Y. Wang^46,h, F. Wang⁷³, H. J. Wang^38,k,l, J. J. Wang⁷⁷, J. P. Wang⁵⁰, K. Wang^1,58, L. L. Wang¹, M. Wang⁵⁰, N. Y. Wang⁶⁴, S. Wang^12,g, S. Wang^38,k,l, T. Wang^12,g, T. J. Wang⁴³, W. Wang⁷³, W. Wang⁵⁹, W. P. Wang^35,58,72,o, X. Wang^46,h, X. F. Wang^38,k,l, X. J. Wang³⁹, X. L. Wang^12,g, X. N. Wang¹, Y. Wang⁶¹, Y. D. Wang⁴⁵, Y. F. Wang^1,58,64, Y. L. Wang¹⁹, Y. N. Wang⁴⁵, Y. Q. Wang¹, Yaqian Wang¹⁷, Yi Wang⁶¹, Z. Wang^1,58, Z. L. Wang⁷³, Z. Y. Wang^1,64, Ziyi Wang⁶⁴, D. H. Wei¹⁴, F. Weidner⁶⁹, S. P. Wen¹, Y. R. Wen³⁹, U. Wiedner³, G. Wilkinson⁷⁰, M. Wolke⁷⁶, L. Wollenberg³, C. Wu³⁹, J. F. Wu^1,8, L. H. Wu¹, L. J. Wu^1,64, X. Wu^12,g, X. H. Wu³⁴, Y. Wu^72,58, Y. H. Wu⁵⁵, Y. J. Wu³¹, Z. Wu^1,58, L. Xia^72,58, X. M. Xian³⁹, B. H. Xiang^1,64, T. Xiang^46,h, D. Xiao^38,k,l, G. Y. Xiao⁴², S. Y. Xiao¹, Y. L. Xiao^12,g, Z. J. Xiao⁴¹, C. Xie⁴², X. H. Xie^46,h, Y. Xie⁵⁰, Y. G. Xie^1,58, Y. H. Xie⁶, Z. P. Xie^72,58, T. Y. Xing^1,64, C. F. Xu^1,64, C. J. Xu⁵⁹, G. F. Xu¹, H. Y. Xu^67,2,p, M. Xu^72,58, Q. J. Xu¹⁶, Q. N. Xu³⁰, W. Xu¹, W. L. Xu⁶⁷, X. P. Xu⁵⁵, Y. Xu⁴⁰, Y. C. Xu⁷⁸, Z. S. Xu⁶⁴, F. Yan^12,g, L. Yan^12,g, W. B. Yan^72,58, W. C. Yan⁸¹, X. Q. Yan^1,64, H. J. Yang^51,f, H. L. Yang³⁴, H. X. Yang¹, T. Yang¹, Y. Yang^12,g, Y. F. Yang⁴³, Y. F. Yang^1,64, Y. X. Yang^1,64, Z. W. Yang^38,k,l, Z. P. Yao⁵⁰, M. Ye^1,58, M. H. Ye⁸, J. H. Yin¹, Junhao Yin⁴³, Z. Y. You⁵⁹, B. X. Yu^1,58,64, C. X. Yu⁴³, G. Yu^1,64, J. S. Yu^25,i, M. C. Yu⁴⁰, T. Yu⁷³, X. D. Yu^46,h, Y. C. Yu⁸¹, C. Z. Yuan^1,64, J. Yuan³⁴, J. Yuan⁴⁵, L. Yuan², S. C. Yuan^1,64, Y. Yuan^1,64, Z. Y. Yuan⁵⁹, C. X. Yue³⁹, A. A. Zafar⁷⁴, F. R. Zeng⁵⁰, S. H. Zeng⁶³, X. Zeng^12,g, Y. Zeng^25,i, Y. J. Zeng⁵⁹, Y. J. Zeng^1,64, X. Y. Zhai³⁴, Y. C. Zhai⁵⁰, Y. H. Zhan⁵⁹, A. Q. Zhang^1,64, B. L. Zhang^1,64, B. X. Zhang¹, D. H. Zhang⁴³, G. Y. Zhang¹⁹, H. Zhang^72,58, H. Zhang⁸¹, H. C. Zhang^1,58,64, H. H. Zhang⁵⁹, H. H. Zhang³⁴, H. Q. Zhang^1,58,64, H. R. Zhang^72,58, H. Y. Zhang^1,58, J. Zhang⁸¹, J. Zhang⁵⁹, J. J. Zhang⁵², J. L. Zhang²⁰, J. Q. Zhang⁴¹, J. S. Zhang^12,g, J. W. Zhang^1,58,64, J. X. Zhang^38,k,l, J. Y. Zhang¹, J. Z. Zhang^1,64, Jianyu Zhang⁶⁴, L. M. Zhang⁶¹, Lei Zhang⁴², P. Zhang^1,64, Q. Y. Zhang³⁴, R. Y. Zhang^38,k,l, S. H. Zhang^1,64, Shulei Zhang^25,i, X. D. Zhang⁴⁵, X. M. Zhang¹, X. Y. Zhang⁴⁰, X. Y. Zhang⁵⁰, Y. Zhang⁷³, Y. Zhang¹, Y. T. Zhang⁸¹, Y. H. Zhang^1,58, Y. M. Zhang³⁹, Yan Zhang^72,58, Z. D. Zhang¹, Z. H. Zhang¹, Z. L. Zhang³⁴, Z. Y. Zhang⁷⁷, Z. Y. Zhang⁴³, Z. Z. Zhang⁴⁵, G. Zhao¹, J. Y. Zhao^1,64, J. Z. Zhao^1,58, L. Zhao¹, Lei Zhao^72,58, M. G. Zhao⁴³, N. Zhao⁷⁹, R. P. Zhao⁶⁴, S. J. Zhao⁸¹, Y. B. Zhao^1,58, Y. X. Zhao^31,64, Z. G. Zhao^72,58, A. Zhemchugov^36,b, B. Zheng⁷³, B. M. Zheng³⁴, J. P. Zheng^1,58, W. J. Zheng^1,64, Y. H. Zheng⁶⁴, B. Zhong⁴¹, X. Zhong⁵⁹, H. Zhou⁵⁰, J. Y. Zhou³⁴, L. P. Zhou^1,64, S. Zhou⁶, X. Zhou⁷⁷, X. K. Zhou⁶, X. R. Zhou^72,58, X. Y. Zhou³⁹, Y. Z. Zhou^12,g, Z. C. Zhou²⁰, A. N. Zhu⁶⁴, J. Zhu⁴³, K. Zhu¹, K. J. Zhu^1,58,64, K. S. Zhu^12,g, L. Zhu³⁴, L. X. Zhu⁶⁴, S. H. Zhu⁷¹, T. J. Zhu^12,g, W. D. Zhu⁴¹, Y. C. Zhu^72,58, Z. A. Zhu^1,64, J. H. Zou¹, and J. Zu^72,58 (BESIII Collaboration)

¹Institute of High Energy Physics, Beijing 100049, People’s Republic of China
²Beihang University, Beijing 100191, People’s Republic of China
³Bochum Ruhr-University, D-44780 Bochum, Germany
⁴Budker Institute of Nuclear Physics SB RAS (BINP), Novosibirsk 630090, Russia
⁵Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA
⁶Central China Normal University, Wuhan 430079, People’s Republic of China
⁷Central South University, Changsha 410083, People’s Republic of China
⁸China Center of Advanced Science and Technology, Beijing 100190, People’s Republic of China
⁹China University of Geosciences, Wuhan 430074, People’s Republic of China
¹⁰Chung-Ang University, Seoul, 06974, Republic of Korea
¹¹COMSATS University Islamabad, Lahore Campus, Defence Road, Off Raiwind Road, 54000 Lahore, Pakistan
¹²Fudan University, Shanghai 200433, People’s Republic of China
¹³GSI Helmholtzcentre for Heavy Ion Research GmbH, D-64291 Darmstadt, Germany
¹⁴Guangxi Normal University, Guilin 541004, People’s Republic of China
¹⁵Guangxi University, Nanning 530004, People’s Republic of China
¹⁶Hangzhou Normal University, Hangzhou 310036, People’s Republic of China
¹⁷Hebei University, Baoding 071002, People’s Republic of China
¹⁸Helmholtz Institute Mainz, Staudinger Weg 18, D-55099 Mainz, Germany
¹⁹Henan Normal University, Xinxiang 453007, People’s Republic of China
²⁰Henan University, Kaifeng 475004, People’s Republic of China
²¹Henan University of Science and Technology, Luoyang 471003, People’s Republic of China
²²Henan University of Technology, Zhengzhou 450001, People’s Republic of China
²³Huangshan College, Huangshan 245000, People’s Republic of China
²⁴Hunan Normal University, Changsha 410081, People’s Republic of China
²⁵Hunan University, Changsha 410082, People’s Republic of China
²⁶Indian Institute of Technology Madras, Chennai 600036, India
²⁷Indiana University, Bloomington, Indiana 47405, USA
^28aINFN Laboratori Nazionali di Frascati, INFN Laboratori Nazionali di Frascati, I-00044, Frascati, Italy
^28bINFN Sezione di Perugia, I-06100, Perugia, Italy
^28cUniversity of Perugia, I-06100, Perugia, Italy
^29aINFN Sezione di Ferrara, INFN Sezione di Ferrara, I-44122, Ferrara, Italy
^29bUniversity of Ferrara, I-44122, Ferrara, Italy
³⁰Inner Mongolia University, Hohhot 010021, People’s Republic of China
³¹Institute of Modern Physics, Lanzhou 730000, People’s Republic of China
³²Institute of Physics and Technology, Peace Avenue 54B, Ulaanbaatar 13330, Mongolia
³³Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica 1000000, Chile
³⁴Jilin University, Changchun 130012, People’s Republic of China
³⁵Johannes Gutenberg University of Mainz, Johann-Joachim-Becher-Weg 45, D-55099 Mainz, Germany
³⁶Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, Russia
³⁷Justus-Liebig-Universitaet Giessen, II. Physikalisches Institut, Heinrich-Buff-Ring 16, D-35392 Giessen, Germany
³⁸Lanzhou University, Lanzhou 730000, People’s Republic of China
³⁹Liaoning Normal University, Dalian 116029, People’s Republic of China
⁴⁰Liaoning University, Shenyang 110036, People’s Republic of China
⁴¹Nanjing Normal University, Nanjing 210023, People’s Republic of China
⁴²Nanjing University, Nanjing 210093, People’s Republic of China
⁴³Nankai University, Tianjin 300071, People’s Republic of China
⁴⁴National Centre for Nuclear Research, Warsaw 02-093, Poland
⁴⁵North China Electric Power University, Beijing 102206, People’s Republic of China
⁴⁶Peking University, Beijing 100871, People’s Republic of China
⁴⁷Qufu Normal University, Qufu 273165, People’s Republic of China
⁴⁸Renmin University of China, Beijing 100872, People’s Republic of China
⁴⁹Shandong Normal University, Jinan 250014, People’s Republic of China
⁵⁰Shandong University, Jinan 250100, People’s Republic of China
⁵¹Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of China
⁵²Shanxi Normal University, Linfen 041004, People’s Republic of China
⁵³Shanxi University, Taiyuan 030006, People’s Republic of China
⁵⁴Sichuan University, Chengdu 610064, People’s Republic of China
⁵⁵Soochow University, Suzhou 215006, People’s Republic of China
⁵⁶South China Normal University, Guangzhou 510006, People’s Republic of China
⁵⁷Southeast University, Nanjing 211100, People’s Republic of China
⁵⁸State Key Laboratory of Particle Detection and Electronics, Beijing 100049, Hefei 230026, People’s Republic of China
⁵⁹Sun Yat-Sen University, Guangzhou 510275, People’s Republic of China
⁶⁰Suranaree University of Technology, University Avenue 111, Nakhon Ratchasima 30000, Thailand
⁶¹Tsinghua University, Beijing 100084, People’s Republic of China
^62aTurkish Accelerator Center Particle Factory Group, Istinye University, 34010, Istanbul, Turkey
^62bNear East University, Nicosia, North Cyprus, 99138, Mersin 10, Turkey
⁶³University of Bristol, H H Wills Physics Laboratory, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
⁶⁴University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
⁶⁵University of Groningen, NL-9747 AA Groningen, The Netherlands
⁶⁶University of Hawaii, Honolulu, Hawaii 96822, USA
⁶⁷University of Jinan, Jinan 250022, People’s Republic of China
⁶⁸University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom
⁶⁹University of Muenster, Wilhelm-Klemm-Strasse 9, 48149 Muenster, Germany
⁷⁰University of Oxford, Keble Road, Oxford OX13RH, United Kingdom
⁷¹University of Science and Technology Liaoning, Anshan 114051, People’s Republic of China
⁷²University of Science and Technology of China, Hefei 230026, People’s Republic of China
⁷³University of South China, Hengyang 421001, People’s Republic of China
⁷⁴University of the Punjab, Lahore-54590, Pakistan
^75aUniversity of Turin and INFN, University of Turin, I-10125, Turin, Italy
^75bUniversity of Eastern Piedmont, I-15121, Alessandria, Italy
^75cINFN, I-10125, Turin, Italy
⁷⁶Uppsala University, Box 516, SE-75120 Uppsala, Sweden
⁷⁷Wuhan University, Wuhan 430072, People’s Republic of China
⁷⁸Yantai University, Yantai 264005, People’s Republic of China
⁷⁹Yunnan University, Kunming 650500, People’s Republic of China
⁸⁰Zhejiang University, Hangzhou 310027, People’s Republic of China
⁸¹Zhengzhou University, Zhengzhou 450001, People’s Republic of China

^*Full author list given at the end of the Letter.
^aDeceased.
^bAlso at the Moscow Institute of Physics and Technology, Moscow 141700, Russia.
^cAlso at the Novosibirsk State University, Novosibirsk, 630090, Russia.
^dAlso at the NRC “Kurchatov Institute,” PNPI, 188300, Gatchina, Russia.
^eAlso at Goethe University Frankfurt, 60323 Frankfurt am Main, Germany.
^fAlso at Key Laboratory for Particle Physics, Astrophysics and Cosmology, Ministry of Education; Shanghai Key Laboratory for Particle Physics and Cosmology; Institute of Nuclear and Particle Physics, Shanghai 200240, People’s Republic of China.
^gAlso at Key Laboratory of Nuclear Physics and Ion-beam Application (MOE) and Institute of Modern Physics, Fudan University, Shanghai 200443, People’s Republic of China.
^hAlso at State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, People’s Republic of China.
ⁱAlso at School of Physics and Electronics, Hunan University, Changsha 410082, People’s Republic of China.
^jAlso at Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, People’s Republic of China.
^kAlso at MOE Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, People’s Republic of China.
^lAlso at Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou 730000, People’s Republic of China.
^mAlso at the Department of Mathematical Sciences, IBA, Karachi 75270, Pakistan.
ⁿAlso at Ecole Polytechnique Federale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.
^oAlso at Helmholtz Institute Mainz, Staudinger Weg 18, D-55099 Mainz, Germany.
^pAlso at School of Physics, Beihang University, Beijing 100191, People’s Republic of China.

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Phys. Rev. Lett. 135, 061801 – Published 4 August, 2025

DOI: https://doi.org/10.1103/gb8v-4rnh

Abstract

Using $20.3 {fb}^{- 1}$ of $e^{+} e^{-}$ collision data collected at a center-of-mass energy of $E_{c . m .} = 3.773 GeV$ with the BESIII detector operating at the BEPCII collider, we determine the branching fraction of the leptonic decay $D^{+} \to μ^{+} ν_{μ}$ to be $(4.034 \pm 0.08 0_{stat} \pm 0.04 0_{syst}) \times 10^{- 4}$ . Interpreting our measurement with knowledge of the Fermi coupling constant $G_{F}$ , the masses of the $D^{+}$ and $μ^{+}$ as well as the lifetime of the $D^{+}$ , we determine $f_{D^{+}} | V_{c d} | = (48.02 \pm 0.4 8_{stat} \pm 0.2 4_{syst} \pm 0.1 2_{input} \pm 0.1 5_{EM}) MeV$ after taking into account necessary radiative corrections. This result is a factor of 2.3 more precise than the previous best measurement. Using the value of the magnitude of the $c \to d$ Cabibbo-Kobayashi-Maskawa matrix element $| V_{c d} |$ given by the global standard model fit, we obtain the $D^{+}$ decay constant $f_{D^{+}} = (213.5 \pm {2.1}_{stat} \pm {1.1}_{syst} \pm {0.8}_{input} \pm {0.7}_{EM}) MeV$ . Alternatively, using the value of $f_{D^{+}}$ from a precise lattice quantum chromodynamics calculation, we extract $| V_{c d} | = 0.2265 \pm 0.002 3_{stat} \pm 0.001 1_{syst} \pm 0.000 9_{input} \pm 0.000 7_{EM}$ .

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References (54)

D. Silverman and H. Yao, Phys. Rev. D 38, 214 (1988).
S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
J. Adler et al., Phys. Rev. Lett. 60, 1375 (1988).
J. Z. Bai et al. (BES Collaboration), Phys. Lett. B 429, 188 (1998).
G. L. Tong, Nucl. Phys. B, Proc. Suppl. 144, 259 (2005).
G. Bonvicini et al. (CLEO Collaboration), Phys. Rev. D 70, 112004 (2004).
M. Artuso et al. (CLEO Collaboration), Phys. Rev. Lett. 95, 251801 (2005).
B. I. Eisenstein et al. (CLEO Collaboration), Phys. Rev. D 78, 052003 (2008).
M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 89, 051104 (2014).
M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 123, 211802 (2019).
B. C. Ke, J. Koponen, H. B. Li, and Y. H. Zheng, Annu. Rev. Nucl. Part. Sci. 73, 285 (2023).
A. Bazavov et al., Phys. Rev. D 98, 074512 (2018).
A. Bazavov et al. (Fermilab Lattice and MILC Collaborations), Phys. Rev. D 90, 074509 (2014).
N. Carrasco et al., Phys. Rev. D 91, 054507 (2015).
P. A. Boyle, L. Del Debbio, A. Jüttner, A. Khamseh, F. Sanfilippo, and J. T. Tsang, J. High Energy Phys. 12 (2017) 008.
W. P. Chen, Y. C. Chen, T. W. Chiu, H. Y. Chou, T. S. Guu, and T. H. Hsieh (TWQCD Collaboration), Phys. Lett. B 736, 231 (2014).
P. Dimopoulos, R. Frezzotti, P. Lami, V. Lubicz, E. Picca, L. Riggio, G. C. Rossi, F. Sanfilippo, S. Simula, and C. Tarantino, Proc. Sci. LATTICE2013 (2014) 314.
Y. Aoki et al. (Flavour Lattice Averaging Group (FLAG) Collaboration), Eur. Phys. J. C 82, 869 (2022).
J. P. Lees et al. (BABAR Collaboration), Phys. Rev. Lett. 109, 101802 (2012).
J. P. Lees et al. (BABAR Collaboration), Phys. Rev. D 88, 072012 (2013).
R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 115, 111803 (2015).
R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 113, 151601 (2014).
S. Wehle et al. (Belle Collaboration), Phys. Rev. Lett. 118, 111801 (2017).
S. Fajfer, I. Nisandzic, and U. Rojec, Phys. Rev. D 91, 094009 (2015).
X. Leng, X. L. Mu, Z. T. Zou, and Y. Li, Chin. Phys. C 45, 063107 (2021).
M. Ablikim et al. (BESIII Collaboration), Chin. Phys. C 48, 123001 (2024).
M. Ablikim et al. (BESIII Collaboration), Nucl. Instrum. Methods Phys. Res., Sect. A 614, 345 (2010).
C. H. Yu et al., in Proceedings of International Particle Accelerator Conference (IPAC’16), Busan, Korea (2016), 10.18429/JACoW-IPAC2016-TUYA01.
X. Li et al., Radiat. Detect. Technol. Methods 1, 12 (2022).
Y. Guo et al., Radiat. Detect. Technol. Methods 1, 14 (2017).
S. Agostinelli et al. (GEANT4 Collaboration), Nucl. Instrum. Methods Phys. Res., Sect. A 506, 250 (2003).
S. Jadach, B. F. L. Ward, and Z. Was, Phys. Rev. D 63, 113009 (2001).
S. Jadach, B. F. L. Ward, and Z. Was, Comput. Phys. Commun. 130, 260 (2000).
D. J. Lange, Nucl. Instrum. Methods Phys. Res., Sect. A 462, 152 (2001).
R. G. Ping, Chin. Phys. C 32, 599 (2008).
J. C. Chen, G. S. Huang, X. R. Qi, D. H. Zhang, and Y. S. Zhu, Phys. Rev. D 62, 034003 (2000).
R. L. Yang, R. G. Ping, and H. Chen, Chin. Phys. Lett. 31, 061301 (2014).
E. Richter-Was, Phys. Lett. B 303, 163 (1993).
J. Adler et al., Phys. Rev. Lett. 60, 89 (1988).
H. Albrecht et al., Phys. Lett. B 241, 278 (1990).
M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 109, 072003 (2024).
M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 127, 171801 (2021).
M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 122, 071802 (2019).
M. Ablikim et al. (BESIII Collaboration), arXiv:2503.16070.
K. Cranmer, Comput. Phys. Commun. 136, 198 (2001).
G. Burdman, J. T. Goldman, and D. Wyler, Phys. Rev. D 51, 111 (1995).
C. Q. Geng, C. C. Lin, and W. M. Zhang, Mod. Phys. Lett. A 15, 2087 (2000).
C. D. Lü and G. L. Song, Phys. Lett. B 562, 75 (2003).
N. Barik, S. Naimuddin, and P. C. Dash, Int. J. Mod. Phys. A 24, 2335 (2009).
G. P. Korchemsky, D. Pirjol, and T. M. Yan, Phys. Rev. D 61, 114510 (2000).
J. C. Yang and M. Z. Yang, Nucl. Phys. B889, 778 (2014).
J. C. Yang and M. Z. Yang, Nucl. Phys. B914, 301 (2017).
A. Sirlin, Nucl. Phys. B196, 83 (1982).
T. Kinoshita, Phys. Rev. Lett. 2, 477 (1959).

Phys. Rev. Lett. 135, 061801– Published 4 August, 2025

Vol. 135, Iss. 6 — 8 August 2025

Received 9 October 2024
Revised 17 April 2025
Accepted 30 June 2025

DOI: https://doi.org/10.1103/gb8v-4rnh

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Precision Measurement of the Branching Fraction of $D^{+} \to μ^{+} ν_{μ}$

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Precision Measurement of the Branching Fraction of D+→μ+νμ

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Precision Measurement of the Branching Fraction of $D^{+} \to μ^{+} ν_{μ}$