Measurement of the CKM angleφ1inB0→D¯(*)0h0,D¯0→KS0π+π−decays with time-dependent binned Dalitz plot analysis

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Abstract

We report a measurement of the $CP$-violation parameter ${\ensuremath{\varphi}}_{1}$ obtained in a time-dependent analysis of ${B}^{0}\ensuremath{\rightarrow}{\overline{D}}^{(*)0}{h}^{0}$ decays followed by ${\overline{D}}^{0}\ensuremath{\rightarrow}{K}_{S}^{0}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ decay. A model-independent measurement is performed using the binned Dalitz plot technique. The measured value is ${\ensuremath{\varphi}}_{1}=11.7\ifmmode^\circ\else\textdegree\fi{}\ifmmode\pm\else\textpm\fi{}7.8\ifmmode^\circ\else\textdegree\fi{}(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}2.1\ifmmode^\circ\else\textdegree\fi{}(\mathrm{syst})$. Treating $\mathrm{sin}2{\ensuremath{\varphi}}_{1}$ and $\mathrm{cos}2{\ensuremath{\varphi}}_{1}$ as independent parameters, we obtain $\mathrm{sin}2{\ensuremath{\varphi}}_{1}=0.43\ifmmode\pm\else\textpm\fi{}0.27(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.08(\mathrm{syst})$ and $\mathrm{cos}2{\ensuremath{\varphi}}_{1}=1.06\ifmmode\pm\else\textpm\fi{}0.33{(\mathrm{stat})}_{\ensuremath{-}0.15}^{+0.21}(\mathrm{syst})$. The results are obtained with a full data sample of $772\ifmmode\times\else\texttimes\fi{}1{0}^{6}B\overline{B}$ pairs collected near the $\mathrm{\ensuremath{\Upsilon}}(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy ${e}^{+}{e}^{\ensuremath{-}}$ collider.

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