EPJ

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EPJ C - Particles and Fields
Particles and Fields
Eur. Phys. J. C 9, 443-448
DOI 10.1007/s10052990064

SU(3) analysis of annihilation contributions and CP violating relations in $B\to P P$ decays

X.-G. He

Department of Physics, National Taiwan University, Taipei, Taiwan 10764, R.O.C.

Received: 5 January 1999 / Revised version: 4 March 1999 / Published online: 18 June 1999

Abstract
Several methods proposed to measure the angle $\gamma$ in the KM unitarity triangle assumed that the tree contribution to $B^-\to \pi^-\bar K^0 $ 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 $B\to P P$ decays without assuming the smallness of the annihilation contributions. These relations provide important tests for the standard model of CP violation.

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