Search for $CP$ violation in the Dalitz-plot analysis of $D^{\pm }\to K^{+}{K}^{-}{\pi }^{\pm }$

We report on a search for $CP$ asymmetry in the singly Cabibbo-suppressed decay $D^{+}\to K^{+}{K}^{-}{\pi }^{+}$ using a data sample of $818{\mathrm{pb}}^{-1}$ accumulated with the CLEO-c detector on the $\psi (3770)$ resonance. A Dalitz-plot analysis is used to determine the amplitudes of the intermediate states. We find no evidence for $CP$ violation either in specific two-body amplitudes or integrated over the entire phase space. The $CP$ asymmetry in the latter case is measured to be $(-0.03\pm 0.84\pm 0.29)\%$.

Figure 1

The $\Delta E$ distributions. Signal ($|\Delta E|<12\mathrm{MeV}$) and sideband ($50\mathrm{MeV}<|\Delta E|<100\mathrm{MeV}$) regions are shown.

Figure 2

The $m_{\mathrm{BC}}$ distributions for (a) $D^{+}$ and (b) $D^{-}$ candidates. The solid curves show the fits to the data (points with error bars), while the dashed curves indicate the background.

Figure 3

(a) The Dalitz plot for $D^{+}\to K^{+}{K}^{-}{\pi }^{+}$ candidates. (b)–(d) Projections of the results of fit B (line) and the data (points). The dashed line shows the background contribution.

Figure 4

The difference of the Dalitz-plot projections of data (points) and fit (line) between $D^{+}$ and $D^{-}$ decays.