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

Abstract

An analysis of $B\to K\pi$ decays is given, assuming a small elastic $\pi K$ 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 $\gamma$ can be obtained from the measured $B\to K\pi$ 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 $m_s=106\mathrm{MeV}$. The central value of $\gamma$ is found to be around $76.10^{\circ }$, with a possible value in the range $50^{\circ }-100^{\circ }$.

Comments: LaTeX, with ReVTeX, 15 pages, 3 figures, correct header title, misprint in the abstract removed