Determining $\gamma$ using $B^{\pm }\to D{K}^{\pm }$ with multibody D decays

Abstract

We propose a method for determining $\gamma$ using $B^{\pm }\to D{K}^{\pm }$ decays followed by a multibody $D$ decay, such as $D\to K_S{\pi }^{-}{\pi }^{+}$, $D\to K_S{K}^{-}{K}^{+}$ and $D\to K_S{\pi }^{-}{\pi }^{+}{\pi }^0$. The main advantages of the method is that it uses only Cabibbo allowed $D$ decays, and that large strong phases are expected due to the presence of resonances. Since no knowledge about the resonance structure is needed, $\gamma$ can be extracted without any hadronic uncertainty.

17 pages, 1 figure

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