A variety of CP violating B decays

Abstract

A variety of CP violating asymmetries in $B^0$ decays is predicted in the Standard Model in terms of CKM (Cabibbo-Kobayashi-Maskawa) complex phases. These phases can also be determined from rate measurements of certain $B^{+}$ and $B^{-}$ decays. We focus on the following processes: $B^0\to \psi K_S,{\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0,{\rho }^{\pm }{\pi }^{\mp },B_s\to D_s^{+}{K}^{-},{\pi }^0\eta ,B^{+}\to D^0(\text{Dbar})K^{+},{\pi }^{+}{\pi }^0,{\pi }^0{K}^{+},{\pi }^{+}{K}^0,\eta K^{+}$ and their charge-conjugates. Complications due to gluonic-penguin and electroweak-penguin amplitudes are dealt with and are resolved. The importance of final state interaction phases in charged $B$ decay asymmetries is demonstrated in $B^{+}\to {\chi }_{c0}{\pi }^{+},{\chi }_{c0}\to {\pi }^{+}{\pi }^{-}$ through the effect of the ${\chi }_{c0}$ width.

Comments: 17 pages