Measurement of the hadronic form factor inD0→K−e+νedecays

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Abstract

The shape of the hadronic form factor ${f}_{+}({q}^{2})$ in the decay ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{e}^{+}{\ensuremath{\nu}}_{e}$ has been measured in a model independent analysis and compared with theoretical calculations. We use $75\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of data recorded by the BABAR detector at the PEP-II electron-positron collider. The corresponding decay branching fraction, relative to the decay ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$, has also been measured to be ${R}_{D}=\mathcal{B}({D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{e}^{+}{\ensuremath{\nu}}_{e}(\ensuremath{\gamma}))/\mathcal{B}({D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}(\ensuremath{\gamma}))=0.927\ifmmode\pm\else\textpm\fi{}0.007\ifmmode\pm\else\textpm\fi{}0.012$. From these results, and using the present world average value for $\mathcal{B}({D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+})$, the normalization of the form factor at ${q}^{2}=0$ is determined to be ${f}_{+}(0)=0.727\ifmmode\pm\else\textpm\fi{}0.007\ifmmode\pm\else\textpm\fi{}0.005\ifmmode\pm\else\textpm\fi{}0.007$ where the uncertainties are statistical, systematic, and from external inputs, respectively.

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