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: $B^0\toψK_S,~π^+π^-,~π^0π^0, ~ρ^{\pm}π^{\mp},~B_s\to D^+_s K^-,~π^0η, ~B^+\to D^0(\Dbar)K^+,~π^+π^0,~π^0 K^+,~ π^+ K^0,~ηK^+$ 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 $B^+\toχ_{c0}π^+,~~χ_{c0}\toπ^+π^-$ through the effect of the $χ_{c0}$ width.