First measurement of the CKM angle ${\varphi }_3$ with $B^{\pm }\to D(K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}{\pi }^0)K^{\pm }$ decays

Abstract

We present the first model-independent measurement of the CKM unitarity triangle angle ${\varphi }_3$ using $B^{\pm }\to D(K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}{\pi }^0)K^{\pm }$ decays, where $D$ indicates either a $D^0$ or ${\overline{D}}^0$ meson. Measurements of the strong-phase difference of the $D\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}{\pi }^0$ 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 ${\rm Y}(4S)$ resonance. We obtain ${\varphi }_3=(5.7{}_{-8.8}^{+10.2}\pm 3.5\pm 5.7{)}^{\circ }$ 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 ${\varphi }_3$ is $(-29.7,109.5{)}^{\circ }$, which is consistent with the current world average.

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Cited by in corpus (7)

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• Improved model-independent determination of the strong-phase difference between $D^0$ and ${\bar{D}}^0\to K_{\mathrm{S},\mathrm{L}}^0{K}^{+}{K}^{-}$ decays
• Branching fractions and polarizations of $D\to V(\omega ,\rho ,K^{\ast })\ell {\nu }_{\ell }$ within QCD LCSR
• Origins of the method to determine the CKM angle $\gamma$ using $B^{\pm }\to D{K}^{\pm }$, $D\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}$ decays
• Measurement of the strong-phase difference between $D^0$ and $\overline{D^0}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ in bins of phase space
• First measurements of the ${\varphi }_3$-sensitive decay $B^{\pm }\to D(K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}{\pi }^0)K^{\pm }$ with Belle