### First measurement of the CKM angle $\phi_3$ with $B^{\pm}\to D(K_{\rm S}^0\pi^+\pi^-\pi^0)K^{\pm}$ decays

P. K. Resmi, J. Libby, K. Trabelsi, I. Adachi, H. Aihara, S. Al Said, D. M. Asner, V. Aulchenko, T. Aushev, V. Babu, I. Badhrees, A. M. Bakich, C. Beleño, J. Bennett, V. Bhardwaj, B. Bhuyan, T. Bilka, J. Biswal, A. Bozek, M. Bračko, M. Campajola, D. Červenkov, A. Chen, B. G. Cheon, H. E. Cho … & V. Zhilich
We present the first model-independent measurement of the CKM unitarity triangle angle $\phi_3$ using $B^{\pm}\to D(K_{\rm S}^0\pi^+\pi^-\pi^0)K^{\pm}$ decays, where $D$ indicates either a $D^{0}$ or $\overline{D}^{0}$ meson. Measurements of the strong-phase difference of the $D \to K_{\rm S}^0\pi^+\pi^-\pi^0$ amplitude obtained from CLEO-c data are used as input. This analysis is based on the full Belle data set of $772\times 10^{6}$ $B\overline{B}$ events collected at the $\Upsilon(4S)$ resonance. We obtain \$\phi_3 = (5.7~^{+10.2}_{-8.8} \pm 3.5 \pm...
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