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preprints:1997:ttp97-17 [2016/03/17 11:03] (current)
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 +====== TTP97-17 Constraining the CKM angle $\gamma$ and penguin contributions through combined $B \to \pi K$ branching ratios ====== 
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 +   <hidden TTP97-17  Constraining the CKM angle $\gamma$ and penguin contributions through combined $B \to \pi K$ branching ratios > Motivated by recent CLEO measurements of $B\to\pi K$ modes, we investigate 
 + their implications for the CKM angle $\gamma$ and a consistent description 
 + of these decays within the Standard Model. Interestingly it turns out that 
 + already the measurement of the combined branching ratios $B^\pm\to\pi^\pm K$ 
 + and $B_d\to\pi^\mp K^\pm$ allows to derive stringent constraints on $\gamma$ 
 + which are complementary to the presently allowed range for that angle. This 
 + range, arising from the usual fits of the unitarity triangle, is typically 
 + symmetric around $\gamma = 90^\circ$, while our method can in principle 
 + {\it exclude} a range of this kind. Consistency within the Standard Model 
 + implies furthermore bounds on the ratio $r\equiv|T'|/|\tilde P|$ of the 
 + current-current and penguin operator contributions to $B_d\to\pi^\mp K^\pm$, 
 + and upper limits for the CP-violating asymmetry arising in that decay. 
 + Commonly accepted means to estimate $r$ yield values at the edge of 
 + compatibility with the present CLEO measurements. 
 +  
 + </hidden> 
 +|**Robert Fleischer, Thomas Mannel**  |  
 +|** Phys. Rev. D57 2752-2759 1998  **  | 
 +| {{preprints:1997:ttp97-17.pdf|PDF}} {{preprints:1997:ttp97-17.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/9704423|arXiv]]   | 
 +| |