Observation of $D^+\to f_0(500)μ^+ν_μ$ and study of $D^+\to π^+π^-\ell^+ν_\ell$ decay dynamics
Creators: name: BESIII Collaboration
name: Ablikim, M.
name: Achasov, M. N.
name: Adlarson, P.
name: Ai, X. C.
name: Aliberti, R.
name: Amoroso, A.
name: Bai, Y.
name: Bakina, O.
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: Choi, S. K.
name: Chu, X.
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, P. T.
name: Ge, Z. W.
name: Geng, C.
name: Gersabeck, E. M.
name: Gilman, A.
name: Goetzen, K.
name: Gong, L.
name: Gong, W. X.
name: Gradl, W.
name: Gramigna, S.
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name: Guskov, A.
name: Gutierrez, J.
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name: Hanisch, F.
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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 $2.93~\mathrm{fb}^{-1}$ of $e^+e^-$ collision data collected with the BESIII detector at the center-of-mass energy of 3.773 GeV,we investigate the semileptonic decays $D^+\to π^+π^- \ell^+ν_\ell$ ($\ell=e$ and $μ$). The $D^+\to f_0(500)μ^+ν_μ$ decay is observed for the first time. By analyzing simultaneously the differential decay rates of $D^+\to f_0(500) μ^+ν_μ$ and $D^+\to f_0(500) e^+ν_e$ in different $\ell^+ν_\ell$ four-momentum transfer intervals, the product of the relevant hadronic form factor $f^{f_0}_{+}(0)$ and the magnitude of the $c\to d$ Cabibbo-Kobayashi-Maskawa matrix element $|V_{cd}|$ is determined to be $f_{+}^{f_0} (0)|V_{cd}|=0.143\pm0.014_{\rm stat}\pm0.011_{\rm syst}$ for the first time. With the input of $|V_{cd}|$ from the global fit in the standard model, we determine $f_{+}^{f_0} (0)=0.63\pm0.06_{\rm stat}\pm0.05_{\rm syst}$. The absolute branching fractions of $D^+\to f_0(500)_{(π^+π^-)}μ^+ν_μ$ and $D^+\to ρ^0_{(π^+π^-)} μ^+ν_μ$ are determined as $(0.72\pm0.13_{\rm stat}\pm0.08_{\rm syst})\times10^{-3}$ and $(1.64\pm0.13_{\rm stat}\pm0.10_{\rm syst})\times 10^{-3}$. Combining these results with those of previous BESIII measurements on their semielectronic counterparts from the same data sample, we test lepton flavor universality by measuring the branching fraction ratios ${\mathcal B}_{D^+\to ρ^0 μ^+ν_μ}/{\mathcal B}_{D^+\to ρ^0 e^+ν_e}=0.88\pm0.10$ and ${\mathcal B}_{D^+\to f_0(500) μ^+ν_μ}/{\mathcal B}_{D^+\to f_0(500) e^+ν_e}=1.14\pm0.26$, which are compatible with the standard model expectation.
description: Final version accepted for publication