Observation of $D^+\toη^\primeμ^+ν_μ$ and First Study of $D^+\to η^\prime \ell^+ν_\ell$ Decay Dynamics
Creators: name: BESIII Collaboration
name: Ablikim, M.
name: Achasov, M. N.
name: Adlarson, P.
name: Afedulidis, O.
name: Ai, X. C.
name: Aliberti, R.
name: Amoroso, A.
name: An, Q.
name: Bai, Y.
name: Bakina, O.
name: Balossino, I.
name: Ban, Y.
name: Bao, H. -R.
name: Batozskaya, V.
name: Begzsuren, K.
name: Berger, N.
name: Berlowski, M.
name: Bertani, M.
name: Bettoni, D.
name: Bianchi, F.
name: Bianco, E.
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: Che, G. R.
name: Chelkov, G.
name: Chen, C.
name: Chen, C. H.
name: Chen, Chao
name: Chen, G.
name: Chen, H. S.
name: Chen, H. Y.
name: Chen, M. L.
name: Chen, S. J.
name: Chen, S. L.
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: Chen, Z. Y.
name: Choi, S. K.
name: Cibinetto, G.
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, C. Q.
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, M. C.
name: Du, S. X.
name: Duan, Y. Y.
name: Duan, Z. H.
name: Egorov, P.
name: Fan, Y. H.
name: Fang, J.
name: Fang, J.
name: Fang, S. S.
name: Fang, W. X.
name: Fang, Y.
name: Fang, Y. Q.
name: Farinelli, R.
name: Fava, L.
name: Feldbauer, F.
name: Felici, G.
name: Feng, C. Q.
name: Feng, J. H.
name: Feng, Y. T.
name: Fritsch, M.
name: Fu, C. D.
name: Fu, J. L.
name: Fu, Y. W.
name: Gao, H.
name: Gao, X. B.
name: Gao, Y. N.
name: Gao, Yang
name: Garbolino, S.
name: Garzia, I.
name: Ge, L.
name: Ge, P. T.
name: Ge, Z. W.
name: Geng, C.
name: Gersabeck, E. M.
name: Gilman, A.
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name: Gong, L.
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name: Gradl, W.
name: Gramigna, S.
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name: Guskov, A.
name: Gutierrez, J.
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name: Harris, F. A.
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name: He, K. L.
name: Heinsius, F. H.
name: Heinz, C. H.
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Publisher: name: arXiv
Year: 2024
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: Using $20.3\,\rm fb^{-1}$ of $e^+e^-$ collision data collected at the center-of-mass energy 3.773\,GeV with the BESIII detector, we report the first observation of the semileptonic decay $D^+\to η^\prime μ^+ν_μ$ with significance of $8.6σ$ including systematic uncertainties, and an improved measurement of $D^+\to η^\prime e^+ν_e$. The branching fractions of $D^+\to η^\prime μ^+ν_μ$ and $D^+\to η^\prime e^+ν_e$ are determined to be $(1.92\pm0.28_{\rm stat}\pm 0.08_{\rm syst})\times 10^{-4}$ and $(1.79\pm0.19_{\rm stat}\pm 0.07_{\rm syst})\times 10^{-4}$, respectively. The ratio of the two branching fractions is determined to be ${\mathcal R}_{μ/e}=1.07\pm0.19_{\rm stat}\pm 0.03_{\rm syst}$, which agrees with the theoretical expectation of lepton flavor universality within the Standard Model.From an analysis of the $D^+\to η^\prime \ell^+ν_\ell$ decay dynamics, the product of the hadronic form factor $f_+^{η^{\prime}}(0)$ and the CKM matrix element $|V_{cd}|$ is measured for the first time, giving $f^{η^\prime}_+(0)|V_{cd}| = (5.92\pm0.56_{\rm stat}\pm0.13_{\rm syst})\times 10^{-2}$. The $η-η^\prime$ mixing angle in the quark flavor basis is determined to be $ϕ_{\rm P} =(39.8\pm0.8_{\rm stat}\pm0.3_{\rm syst})^\circ$.