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We present the first model-independent measurement of the CKM unitarity triangle angle $phi_3$ using $B^{pm}to D(K_{rm S}^0pi^+pi^-pi^0)K^{pm}$ decays, where $D$ indicates either a $D^{0}$ or $overline{D}^{0}$ meson. Measurements of the strong-phase difference of the $D to K_{rm S}^0pi^+pi^-pi^0$ amplitude obtained from CLEO-c data are used as input. This analysis is based on the full Belle data set of $772times 10^{6}$ $Boverline{B}$ events collected at the $Upsilon(4S)$ resonance. We obtain $phi_3 = (5.7~^{+10.2}_{-8.8} pm 3.5 pm 5.7)^{circ}$ and the suppressed amplitude ratio $r_{B} = 0.323 pm 0.147 pm 0.023 pm 0.051$. Here the first uncertainty is statistical, the second is the experimental systematic, and the third is due to the precision of the strong-phase parameters measured from CLEO-c data. The 95% confidence interval on $phi_3$ is $(-29.7,~109.5)^{circ}$, which is consistent with the current world average.
The angle $gamma$ of the Cabibbo--Kobayashi--Maskawa unitarity triangle is a benchmark parameter of the Standard Model of particle physics. A method to determine $gamma$ from $B^{pm} to D K^{pm}$ with subsequent $D to K_{rm S}^0pi^+pi^-$ or similar m
A measurement of $CP$-violating observables is performed using the decays $B^pmto D K^pm$ and $B^pmto D pi^pm$, where the $D$ meson is reconstructed in one of the self-conjugate three-body final states $K_{mathrm S}pi^+pi^-$ and $K_{mathrm S}K^+K^-$
A binned Dalitz plot analysis of $B^pm to D K^pm$ decays, with $D to K_S pi^+pi^-$ and $D to K_S K^+ K^-$, is performed to measure the CP-violating observables $x_{pm}$ and $y_{pm}$, which are sensitive to the Cabibbo-Kobayashi-Maskawa angle $gamma$.
A binned Dalitz plot analysis of the decays $B^0 to D K^{ast 0}$, with $D to K_{S}^{0} pi^{+} pi^{-}$ and $K_{S}^{0} K^{+} K^{-}$, is performed to measure the observables $x_pm$ and $y_pm$, which are related to the CKM angle $gamma$ and the hadronic