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Estimating $r_{B}^{D\pi}$ as an input to the determination of the CKM angle $\gamma$
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abstract
The interference between Cabibbo-favoured and Cabibbo-suppressed $B\to D\pi$ decay amplitudes provides sensitivity to the CKM angle $\gamma$. The relative size of the interfering amplitudes is an important ingredient in the determination of $\gamma$. Using branching fractions from various $B\to Dh$ decays, and the measured value for $r_{B}^{DK}$, the magnitude of the amplitude ratio of $B^+\to D^0\pi^+$ and $B^+\to \bar{D}^0\pi^+$ decays is estimated to be $r_{B}^{D\pi} = 0.0053 \pm 0.0007$.
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First measurement of the CKM angle $\phi_3$ with $B^{\pm}\to D(K_{\rm S}^0\pi^+\pi^-\pi^0)K^{\pm}$ decays
First measurement of the CKM angle phi3 from B±->D(K_S0 pi+ pi- pi0)K± decays at Belle, giving phi3 = (5.7 +10.2 -8.8 ±3.5 ±5.7) degrees.
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