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Ablikim, M; Berger, N; Bloms, J; Chang, J F; Chen, S J; Coen, S C; Dai, H L; Ding, B; Ding, Y; Dong, L Y; Dong, X; Fang, W X; Fava, L; Fu, J L; Garzia, I; Gong, L; Gramigna, S; Gu, M H; Guan, C Y; Han, W Y; Hao, X Q; Heinsius, F H H; Heinz, C H; Hou, Y R; Jaeger, S; Janchiv, S; Jiang, S S; Jiang, T J; Jiang, Y; Jin, S; Kang, X L; Kavatsyuk, M; Kühn, W; Lenz, T; Li, C H; H Li; Li, K L; Li, Lei; Li, X H; Li, Z X; Liang, C; Limphirat, A; Lin, D X; Liu, Feng; Liu, H M; Lu, H J; Luo, M X; Maas, F E; Mao, Z P; Mezzadri, G; Miao, H; Mo, X H; Pacetti, S; Pelizaeus, M; Qi, T Y; Qin, J J; Qin, X S; Qiu, J F; Shan, W; Shi, J Y; Song, Y J; Sun, Z T; Thoren, V; Wang, B L; Wang, J P; Wang, S; Wang, W P; Wang, Y H; Wang, Y N; Wei, D; Wollenberg, L; Z Wu; Xiang, T; Xiao, D; Xiao, G Y; Xiao, S Y; Xiao, Y L; Xing, T Y; Xu, C F; Xu, Z P; Yan, L; Yan, X Q; Yang, H J; Yang, H L; Ye, M H; Yu, C X; Yuan, L; Zhai, Y C; Zhang, H; Zhang, H H; Zhang, Jianyu; Zhang, L M; Zhang, X D; Zhao, G; Zhao, Ling; Zhao, S J; Zheng, Y H; Zhong, X; Zhou, X; Zhu, K J
arXiv.org, 07/2023Paper
The \(D^+_s\to K^+K^-\mu^+\nu_\mu\) decay is studied based on 7.33 fb\(^{-1}\) of \(e^+e^-\) collision data collected with the BESIII detector at center-of-mass energies in the range from 4.128 to 4.226 GeV. The absolute branching fraction is measured as \({\mathcal B}(D^+_s\to \phi \mu^+\nu_\mu) = (2.25\pm 0.09 \pm 0.07) \times10^{-2}\), the most precise measurement to date. Combining with the world average of \({\mathcal B}(D^+_s\to \phi e^+\nu_e)\), the ratio of the branching fractions obtained is\(\frac{{\mathcal B}(D^+_s\to \phi \mu^+\nu_\mu)}{{\mathcal B}(D^+_s\to \phi e^+\nu_e)} = 0.94\pm0.08\), in agreement with lepton universality. By performing a partial wave analysis, the hadronic form factor ratios at \(q^{2}=0\) are extracted, finding \(r_{V}=\frac{V(0)}{A_{1}(0)}=1.58\pm0.17\pm0.02\) and \(r_{2}=\frac{A_{2}(0)}{A_{1}(0)}=0.71\pm0.14\pm0.02\), where the first uncertainties are statistical and the second are systematic. No significant \(S\)-wave contribution from \(f_0(980)\to K^+K^-\) is found. The upper limit \(\mathcal{B}(D_s^+\to f_0(980)\mu^{+}{\nu}_{\mu}) \cdot{\mathcal B}(f_0(980)\to K^+K^-) < 5.45 \times 10^{-4}\) is set at 90\% confidence level.
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