Some comments on B -> pi pi decays

Abstract

Isospin analysis has been used to constrain the CP-asymmetries in B -> pi pi decays. In particular correlation between a weak phase \theta and a strong phase \delta is obtained. Further using the experimental values for the CP-average branching ratios, the following bounds on direct CP-asymmetries are obtained: -0.35+/- 0.22=< C_{\pi ^+\pi^-}\leq 0; C_{\pi ^0\pi ^0}=-(2.4\pm 1.0) C_{\pi ^+\pi ^-}. Constraints on mixing induced CP-asymmetries are also discussed.