Measurement ofϕ3with a Dalitz plot analysis ofB+→D(*)K(*)+decay

We present a 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 from the ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{D}^{(*)}{K}^{(*)\ifmmode\pm\else\textpm\fi{}}$ process. 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 $357\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ data sample collected by the Belle experiment. The analysis uses three modes: ${B}^{+}\ensuremath{\rightarrow}D{K}^{+}$, ${B}^{+}\ensuremath{\rightarrow}{D}^{*}{K}^{+}$ with ${D}^{*}\ensuremath{\rightarrow}D{\ensuremath{\pi}}^{0}$, and ${B}^{+}\ensuremath{\rightarrow}D{K}^{*+}$ with ${K}^{*+}\ensuremath{\rightarrow}{K}_{S}^{0}{\ensuremath{\pi}}^{+}$, as well as the corresponding charge-conjugate modes. From a combined maximum likelihood fit to the three modes, we obtain ${\ensuremath{\phi}}_{3}=53\ifmmode^\circ\else\textdegree\fi{}\genfrac{}{}{0}{}{+15\ifmmode^\circ\else\textdegree\fi{}}{\ensuremath{-}18\ifmmode^\circ\else\textdegree\fi{}}(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}3\ifmmode^\circ\else\textdegree\fi{}(\mathrm{syst})\ifmmode\pm\else\textpm\fi{}9\ifmmode^\circ\else\textdegree\fi{}(\mathrm{\text{model}})$. The corresponding 2 standard deviation interval is $8\ifmmode^\circ\else\textdegree\fi{}l{\ensuremath{\phi}}_{3}l111\ifmmode^\circ\else\textdegree\fi{}$.