Improving bounds on $\gamma$ in $B^{\pm }\to D{K}^{\pm }$ and $B^{\pm ,0}\to D{X}_s^{\pm ,0}$

Abstract

In view of recent experimental progress in rate and CP asymmetry measurements in $B^{\pm }\to D{K}^{\pm }$, we reconsider information on the weak phase $\gamma$ which can be obtained from these processes. Model-independent inequalities are proven for ${\sin }^2\gamma$ in terms of two ratios of partial rates for $B^{\pm ,0}\to D{X}_s^{\pm ,0}$, where $X_s$ is any multiparticle charmless state carrying strangeness $\pm 1$. Good prospects are shown to exist for using these inequalities and CP asymmetry measurements in two body and multibody decays in order to improve present bounds on $\gamma$.

Comments: References updated, to be published in Phys. Lett. B