Observation of $D^+\to f_0(500)μ^+ν_μ$ and study of $D^+\to π^+π^-\ell^+ν_\ell$ decay dynamics

Le résumé fourni par la source

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.

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