Branching fraction for the doubly-Cabibbo-suppressed decay $D^{+}\to K^{+}{\pi }^0$

We present a measurement of the branching fraction for the doubly-Cabibbo-suppressed decay $D^{+}\to K^{+}{\pi }^0$, using $281{\mathrm{pb}}^{-1}$ of data accumulated with the CLEO-c detector on the $\psi (3770)$ resonance. We find $\mathcal{B}(D^{+}\to K^{+}{\pi }^0)=(2.28\pm 0.36\pm 0.15\pm 0.08)\times {10}^{-4}$, where the first uncertainty is statistical, the second is systematic, and the last error is due to the uncertainty in the reference mode branching fraction.

Figure 1

$M_{\mathrm{bc}}$ distributions of $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$, $D^{+}\to {\pi }^{+}{\pi }^0$ and $D^{+}\to K^{+}{\pi }^0$. The points are obtained by selecting the $\Delta E$ signal region, the shaded histogram is from the $\Delta E$ sidebands, and the lines are the fit described in the text.