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 — preprints:1997:ttp97-41 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== TTP97-41 Penguin Topologies, Rescattering Effects and         Penguin Hunting with $B_{u,d}\to K\overline{K}$         and $B^\pm\to\pi^\pm K$  ====== + + + In the recent literature, constraints on the CKM angle $\gamma$ arising from + the branching ratios for $B^\pm\to\pi^\pm K$ and $B_d\to\pi^\mp K^\pm$ + decays received a lot of attention. An important theoretical limitation + of the accuracy of these bounds is due to rescattering effects, such as + $B^+\to\{\pi^0K^+\}\to\pi^+K^0$. We point out that these processes are + related to penguin topologies with internal up quark exchanges and derive + $SU(2)$ isospin relations among the $B^+\to\pi^+K^0$ and $B_d^0\to\pi^-K^+$ + decay amplitudes by defining tree'' and penguin'' amplitudes in a + proper way, allowing the derivation of generalized bounds on the CKM + angle $\gamma$. We propose strategies to obtain insights into the dynamics + of penguin processes with the help of the decays $B_{u,d}\to K\overline{K}$ + and $B^\pm\to\pi^\pm K$, derive a relation among the direct CP-violating + asymmetries arising in these modes, and emphasize that rescattering effects + can be included in the generalized bounds on $\gamma$ completely this way. + Moreover, we have a brief look at the impact of new physics. + + |**Andrzej J. Buras, Robert Fleischer and Thomas Mannel**  | + |** Nucl. Phys. B533 3-24 1998  **  | + | {{preprints:1997:ttp97-41.pdf|PDF}} {{preprints:1997:ttp97-41.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/9711262|arXiv]]   | + | |