Measurement of the CKM angle $varphi_1$ in $B^0tobar{D}{}^{(*)0}h^0$, $bar{D}{}^0to K_S^0pi^+pi^-$ decays with time-dependent binned Dalitz plot analysis


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We report a measurement of the CP violation parameter $varphi_1$ obtained in a time-dependent analysis of $B^0tobar{D}{}^{(*)0}h^0$ decays followed by $bar{D}{}^0to K_S^0pi^+pi^-$ decay. A model-independent measurement is performed using the binned Dalitz plot technique. The measured value is $varphi_1 = 11.7^{circ}pm7.8^{circ}({rm stat.})pm 2.1^{circ}({rm syst.})$. Treating $sin{2varphi_1}$ and $cos{2varphi_1}$ as independent parameters, we obtain $sin{2varphi_1} = 0.43pm 0.27({rm stat.})pm 0.08({rm syst.})$ and $cos{2varphi_1} = 1.06pm 0.33({rm stat.})^{+0.21}_{-0.15}({rm syst.})$. The results are obtained with a full data sample of $772 times 10^6 Bbar{B}$ pairs collected near the $Upsilon(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^+e^-$ collider.

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