Extracting beta and the new D_{sJ} resonances

Abstract

The three body decays $B \to D^{(*)} \bar{D}^{(*)} K_s$ may be used to measure both $\sin{2β}$ and $\cos{2β}$. Crucial to the $\cos{2β}$ measurement is the resonant contribution to the three body decay from p-wave excited $D_s$ states. If these p-wave states are the newly discovered $D_s(2317)$ and $D_s(2460)$ then they are below the $D^{(*)} K$ threshold and hence do not contribute to $B \to D^{(*)} \bar{D}^{(*)} K_s$. The three body decays can then be used to measure $\sin{2β}$ without resonant dilution and to look for new physics in $ b \to c \bar{c} s $ transition.