SU(3) analysis of annihilation contributions and CP violating relations in Bto P P decays

Several methods proposed to measure the angle in the KM unitarity triangle assumed that the tree contribution to is purely due to annihilation contributions and is negligibly small. This assumption has to be tested in order to have a correct interpretation of the experimental data. In this paper we show that using SU(3) symmetry, the smallness of the tree contribution can be tested in a dynamic model-independent way. We also derive several relations between CP violating rate differences for decays without assuming the smallness of the annihilation contributions. These relations provide important tests for the standard model of CP violation. Received: 5 January 1999 / Revised version: 4 March 1999 / Published online: 18 June 1999