A Further Study of $CP$ Asymmetries in Pure Penguin-induced $B_u^{\pm }$ Decays

Abstract

We make a further study of $CP$ asymmetries in the pure penguin-induced decay modes $B_u^{-}\to K^{(\ast )0}+K^{(\ast )-}$ and $B_u^{-}\to {\bar{K}}^{(\ast )0}+({\pi }^{-},{\rho }^{-},a_1^{-})$ by using the two-loop renormalization-group-improved effective Hamiltonian and factorization approximation. Different from the previous results obtained without QCD corrections, the $CP$ asymmetries in each of the two groups are enhanced and classified with their respective factorization coefficients. A sum over the pure penguin modes of each group is proposed to obtain an effective branching ratio and a {\it weighted-mean} signal of $CP$ violation, which should be statistically significant for experimental observation.

Comments: 12 Latex pages (2 figs.); BIHEP-93-38 (revised)