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

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Abstract

We present a measurement of the unitarity triangle angle ${\ensuremath{\phi}}_{3}$ using a Dalitz plot analysis of the three-body 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 employs the interference between ${D}^{0}$ and $\overline{{D}^{0}}$ to extract both the weak and strong phases. We apply this method to a $140\text{ }\text{ }{\mathrm{f}\mathrm{b}}^{\ensuremath{-}1}$ data sample collected by the Belle experiment. The analysis uses the modes ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}D{K}^{\ifmmode\pm\else\textpm\fi{}}$ and ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{D}^{*}{K}^{\ifmmode\pm\else\textpm\fi{}}$, ${D}^{*}\ensuremath{\rightarrow}D{\ensuremath{\pi}}^{0}$, where the neutral $D$ meson decays into ${K}_{S}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$. We obtain 146 signal candidates for ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}D{K}^{\ifmmode\pm\else\textpm\fi{}}$ and 39 candidates for ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{D}^{*}{K}^{\ifmmode\pm\else\textpm\fi{}}$. From a combined maximum likelihood fit to the ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}D{K}^{\ifmmode\pm\else\textpm\fi{}}$ and ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{D}^{*}{K}^{\ifmmode\pm\else\textpm\fi{}}$ modes, we obtain ${\ensuremath{\phi}}_{3}=77\ifmmode^\circ\else\textdegree\fi{}\genfrac{}{}{0}{}{+17\ifmmode^\circ\else\textdegree\fi{}}{\ensuremath{-}19\ifmmode^\circ\else\textdegree\fi{}}(\mathrm{\text{stat}})\ifmmode\pm\else\textpm\fi{}13\ifmmode^\circ\else\textdegree\fi{}(\mathrm{\text{syst}})\ifmmode\pm\else\textpm\fi{}11\ifmmode^\circ\else\textdegree\fi{}(\mathrm{\text{model}})$. The corresponding 2 standard deviation interval is $26\ifmmode^\circ\else\textdegree\fi{}<{\ensuremath{\phi}}_{3}<126\ifmmode^\circ\else\textdegree\fi{}$.

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