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

$$B^{pm}to D(K_{rm S}^0pi^+pi^-pi^0)K^{pm}$$崩壊を利用した小林-益川行列角$$phi_3$$の初測定

Resmi, P. K.*; 谷田 聖; Belle Collaboration*; 他166名*

Resmi, P. K.*; Tanida, Kiyoshi; Belle Collaboration*; 166 of others*

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.

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