Study of Direct CP Violation in $B$ Meson Decay to Final States Containing Charmonium

We study direct CP violation in $b\rightarrow c\bar{c}(s,d)$ transitions by searching for a charge asymmetry in the decay $B^\pm\rightarrow J/\psi h^\pm$ where $h^\pm$ is a $K^\pm$ or $\pi^\pm$ meson. The results presented are based on a large data set of $p\bar{p} $ collisions recorded by the D0 detector operating at the Fermilab Tevatron.