Combining CP Asymmetries in $B \to K π$ Decays

Abstract

We prove an approximate relation, to leading order in dominant terms, between CP-violating rate differences in $B^0/\bar{B}^0 \to K^{\pm}π^{\mp}$ and $B^{\pm} \to K^{\pm}π^0$. We show how data from these two processes may be combined in order to enhance the significance of a nonzero result.

9 pages, latex, no figures, submitted to Phys. Rev. Letters, revised