Institut für Theoretische Teilchenphysik
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Institute for Theoretical Particle Physics (TTP)
Institute for Theoretical Particle Physics (TTP)
Institute for Theoretical Particle Physics (TTP)
Preprints
1997
TTP97-41 Penguin Topologies, Rescattering Effects and Penguin Hunting with $B_{u,d}\to K\overline{K}$ and $B^\pm\to\pi^\pm K$
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 +====== TTP97-41 Penguin Topologies, Rescattering Effects and         Penguin Hunting with $B_{u,d}\to K\overline{K}$         and $B^\pm\to\pi^\pm K$  ====== 
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 +  
 +   <hidden 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. 
 + </hidden> 
 +|**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]]   | 
 +| |