Absolute branching fraction measurements for exclusiveDssemileptonic decays

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Abstract

We measure the absolute branching fractions of ${D}_{s}$ semileptonic decays where the hadron in the final state is one of $\ensuremath{\phi}$, $\ensuremath{\eta}$, ${\ensuremath{\eta}}^{\ensuremath{'}}$, ${K}_{S}^{0}$, ${K}^{\ensuremath{\star}0}$, and ${f}_{0}$, using $2.8\ifmmode\times\else\texttimes\fi{}{10}^{5}$ ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{D}_{s}{D}_{s}^{\ensuremath{\star}}$ decays collected in the CLEO-c detector at a center-of-mass energy close to 4170 MeV. We obtain $\mathcal{B}({D}_{s}^{+}\ensuremath{\rightarrow}\ensuremath{\phi}{e}^{+}{\ensuremath{\nu}}_{e})=(2.29\ifmmode\pm\else\textpm\fi{}0.37\ifmmode\pm\else\textpm\fi{}0.11)%$, $\mathcal{B}({D}_{s}^{+}\ensuremath{\rightarrow}\ensuremath{\eta}{e}^{+}{\ensuremath{\nu}}_{e})=(2.48\ifmmode\pm\else\textpm\fi{}0.29\ifmmode\pm\else\textpm\fi{}0.13)%$, $\mathcal{B}({D}_{s}^{+}\ensuremath{\rightarrow}{\ensuremath{\eta}}^{\ensuremath{'}}{e}^{+}{\ensuremath{\nu}}_{e})=(0.91\ifmmode\pm\else\textpm\fi{}0.33\ifmmode\pm\else\textpm\fi{}0.05)%$, where the first uncertainties are statistical and the second are systematic. We also obtain $\mathcal{B}({D}_{s}^{+}\ensuremath{\rightarrow}{K}^{0}{e}^{+}{\ensuremath{\nu}}_{e})=(0.37\ifmmode\pm\else\textpm\fi{}0.10\ifmmode\pm\else\textpm\fi{}0.02)%$, and $\mathcal{B}({D}_{s}^{+}\ensuremath{\rightarrow}{K}^{\ensuremath{\star}0}{e}^{+}{\ensuremath{\nu}}_{e})=(0.18\ifmmode\pm\else\textpm\fi{}0.07\ifmmode\pm\else\textpm\fi{}0.01)%$, which are the first measurements of Cabibbo suppressed exclusive ${D}_{s}$ semileptonic decays, and, $\mathcal{B}({D}_{s}^{+}\ensuremath{\rightarrow}{f}_{0}{e}^{+}{\ensuremath{\nu}}_{e})\ifmmode\times\else\texttimes\fi{}\mathcal{B}({f}_{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}})=(0.13\ifmmode\pm\else\textpm\fi{}0.04\ifmmode\pm\else\textpm\fi{}0.01)%$. This is the first absolute product branching fraction determination for a semileptonic decay including a scalar meson in the final state.

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