Evidence for directCPviolation in the decayB±→D(*)K±,D→KS0π+π−and measurement of the CKM phaseϕ3

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Abstract

We present a new measurement of the unitarity triangle angle ${\ensuremath{\phi}}_{3}$ using a Dalitz plot analysis of the ${K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ decay of the neutral $D$ meson produced in ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{D}^{(*)}{K}^{\ifmmode\pm\else\textpm\fi{}}$ decays. The method exploits the interference between ${D}^{0}$ and ${\overline{D}}^{0}$ to extract the angle ${\ensuremath{\phi}}_{3}$, strong phase $\ensuremath{\delta}$, and the ratio $r$ of suppressed and allowed amplitudes. We apply this method to a $605\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ data sample collected by the Belle experiment. The analysis uses three decays: ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}D{K}^{\ifmmode\pm\else\textpm\fi{}}$, and ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{D}^{*}{K}^{\ifmmode\pm\else\textpm\fi{}}$ with ${D}^{*}\ensuremath{\rightarrow}D{\ensuremath{\pi}}^{0}$ and ${D}^{*}\ensuremath{\rightarrow}D\ensuremath{\gamma}$, as well as the corresponding charge-conjugate modes. From a combined maximum likelihood fit to the three modes, we obtain ${\ensuremath{\phi}}_{3}={78.4}^{\ifmmode^\circ\else\textdegree\fi{}}\genfrac{}{}{0}{}{+10.8\ifmmode^\circ\else\textdegree\fi{}}{\ensuremath{-}11.6\ifmmode^\circ\else\textdegree\fi{}}\ifmmode\pm\else\textpm\fi{}3.6\ifmmode^\circ\else\textdegree\fi{}(\mathrm{syst})\ifmmode\pm\else\textpm\fi{}8.9\ifmmode^\circ\else\textdegree\fi{}(\mathrm{\text{model}})$. $CP$ conservation in this process is ruled out at the confidence level $(1\ensuremath{-}CL)=5\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$, or 3.5 standard deviations.

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