Color-Octet Contribution and Direct CP Violation in $B\to \psi ({\psi }^{\prime })X$

Abstract

We study $c\bar{c}$ color-octet contribution to $B\to \psi ({\psi }^{\prime })X$. When this contribution is included, the theoretical predictions for the branching ratios become in much better agreement with the experiment. This mechanism also enhances the partial rate asymmetries by about a factor of five. The inclusive $\psi ({\psi }^{\prime })$ resulting from $b\to d+$gluon can have asymmetry around a few percent whereas those from $b\to s+$gluon has it around $4\times 10^{-4}$. The asymmetry in the former modes should be observable, to a significance of $3\sigma$, with about $(1-10)\times 10^{8}B$ mesons.

Comments: 12 pages, Revtex, Three figures