Measurement of the CKM angle ${\phi }_1$ in $B^0\to {\overline{D}}^{(*)0}{h}^0$ , ${\overline{D}}^0\to K_S^0{\pi }^{+}{\pi }^{-}$ decays with time-dependent binned Dalitz plot analysis

Here, we show a measurement of the $CP$-violation parameter ${\phi }_1$ obtained in a time-dependent analysis of $B^0\to {\overline{D}}^{(*)0}{h}^0$ decays followed by ${\overline{D}}^0\to K_S^0{\pi }^{+}{\pi }^{-}$ decay. A model-independent measurement is performed using the binned Dalitz plot technique. The measured value is ${\phi }_1=11.7°\pm 7.8°\left(\mathrm{stat}\right)\pm 2.1°\left(\mathrm{syst}\right)$. Treating $\sin 2{\phi }_1$ and $\cos 2{\phi }_1$ as independent parameters, we obtain $\sin 2{\phi }_1=0.43\pm 0.27\left(\mathrm{stat}\right)\pm 0.08\left(\mathrm{syst}\right)$ and $\cos 2{\phi }_1=1.06\pm 0.33{\left(\mathrm{stat}\right)}_{-0.15}^{+0.21}\left(\mathrm{syst}\right)$. The findings are obtained with a full data sample of $772\times 10^{6}B\overline{B}$ pairs collected near the ${\rm Y}\left(4S\right)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider.