Estimating $r_B^{D\pi }$ as an input to the determination of the CKM angle $\gamma$

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 $r_B^{D\pi }=0.0053\pm 0.0007$.

4 pages, 4 figures

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Cited by in corpus (6)

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• Measurement of the CKM angle $\gamma$ from a combination of LHCb results
• Measurement of the CKM angle $\gamma$ in $B^{\pm }\to D{K}^{\pm }$ and $B^{\pm }\to D{\pi }^{\pm }$ decays with $D\to K_{\mathrm{S}}^0{h}^{+}{h}^{-}$
• CP violation and material interaction of neutral kaons in measurements of the CKM angle $\gamma$ using $B^{\pm }\to D{K}^{\pm }$ decays where $D\to K_{\text{S}}^0{\pi }^{+}{\pi }^{-}$