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arXiv · hep-ph/9810397

SU(3) Analysis of Annihilation Contributions and CP Violating Relations in $B \to PP$ Decays

Xiao-Gang He
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Abstract

Several methods proposed to measure the angle $γ$ in the KM unitarity triangle assumed that the tree contribution to $B^-\to π^-\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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Xiao-Gang He. 1998-10-26. SU(3) Analysis of Annihilation Contributions and CP Violating Relations in $B \to PP$ Decays. https://doi.org/10.1007/s100529900064

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