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Analysis of $B \to Kπ$ decays with small elastic final state interactions

Claudia Isola·T. N. Pham
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Abstract

An analysis of $B \to Kπ$ decays is given, assuming a small elastic $πK $ rescattering phase difference.Using factorization model only for the tree-level and electroweak penguin amplitudes, we show that the strong penguin amplitude, its absorptive part and the CP-violation weak phase $γ$ can be obtained from the measured $B \to Kπ$ branching ratios. The strength of the strong penguin and its absorptive part thus obtained from the CLEO data, are found to be very close to factorization model values and suggests a current $s$ quark mass around $m_{s} = 106 \rm MeV$. The central value of $γ$ is found to be around $76.10^{\circ}$, with a possible value in the range $50^{\circ}-100^{\circ}$.

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Claudia Isola, T. N. Pham. 2000-09-19. Analysis of $B \to Kπ$ decays with small elastic final state interactions. https://arxiv.org/abs/hep-ph/0009210

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