Updated measurements of absolute $D^{+}$ and $D^0$ hadronic branching fractions and $\sigma (e^{+}{e}^{-}\to D\overline{D})$ at $E_{\mathrm{cm}}=3774\mathrm{MeV}$

Utilizing the full CLEO-c data sample of $818{\mathrm{pb}}^{-1}$ of $e^{+}{e}^{-}$ data taken at the $\psi (3770)$ resonance, we update our measurements of absolute hadronic branching fractions of charged and neutral $D$ mesons. We previously reported results from subsets of these data. Using a double tag technique we obtain branching fractions for three $D^0$ and six $D^{+}$ modes, including the reference branching fractions $\mathcal{B}(D^0\to K^{-}{\pi }^{+})=(3.934\pm 0.021\pm 0.061)\%$ and $\mathcal{B}(D^{+}\to K^{-}{\pi }^{+}{\pi }^{+})=(9.224\pm 0.059\pm 0.157)\%$. The uncertainties are statistical and systematic, respectively. In these measurements we include the effects of final-state radiation by allowing for additional unobserved photons in the final state, and the systematic errors include our estimates of the uncertainties of these effects. Furthermore, using an independent measurement of the luminosity, we obtain the cross sections $\sigma (e^{+}{e}^{-}\to D^0{\overline{D}}^0)=(3.607\pm 0.017\pm 0.056)\mathrm{nb}$ and $\sigma (e^{+}{e}^{-}\to D^{+}{D}^{-})=(2.882\pm 0.018\pm 0.042)\mathrm{nb}$ at a center of mass energy, $E_{\mathrm{cm}}=3774\pm 1\mathrm{MeV}$.

Figure 1

Numbers of single tag event candidates, plotted on square-root scales, versus $M_{\mathrm{BC}}$ for each charged and neutral mode. In each plot, $D$ and $\overline{D}$ candidates are combined. Data are shown as points and the solid lines (red online) show the total fits and the dashed lines (blue online) are the background shapes. The high-mass tails on the signal are due to initial-state radiation.

Figure 2

Projections of double tag candidate masses on the $M_{\mathrm{BC}}(D)$ axis for (a) all $D^0{\overline{D}}^0$ modes and (b) all $D^{+}{D}^{-}$ modes. In each plot, the points are data, the lines are projections of the fit results; the dashed line (blue online) is the peaking background contribution, and the solid line (red online) is the sum of signal and background.