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Results

The results of the analysis are the following:

\begin{eqnarray*}
\frac{BR(B_d\rightarrow\pi^\pm\pi^\mp)}{BR(B_d\rightarrow K^\pm\pi^\mp)} =
0.24\pm 0.06 (stat.) \pm 0.05 (syst.)
\end{eqnarray*}




\begin{eqnarray*}
A_{\mathsf{CP}} = \frac{N(\overline{B}^0_{d}\rightarrow K^-\p...
...ghtarrow K^+\pi^-)}
= -0.04 \pm 0.08 (stat.) \pm 0.01 (syst.)
\end{eqnarray*}




\begin{eqnarray*}
\frac{f_d \cdot BR(B_d\rightarrow \pi^\pm\pi^\mp)}
{f_s\cdot...
...ghtarrow K^\pm K^\mp)} =
0.48 \pm 0.12 (stat.)\pm 0.07 (syst.)
\end{eqnarray*}



The above result is obtained under the following assumptions: 1. the CP-content of the $B_s\rightarrow K^+K^-$ mode is 100% CP-even, 2. $\Delta\Gamma_s/\Gamma_s = 0.12 \pm 0.06$, 3. $\Gamma_s=\Gamma_d$.

\begin{eqnarray*}
\frac{f_s \cdot BR(B_s\rightarrow K^\pm K^\mp)}
{f_d\cdot BR...
...htarrow K^\pm\pi^\mp)} =
0.50 \pm 0.08 (stat.)\pm 0.07 (syst.)
\end{eqnarray*}



The above result is obtained under the following assumptions: 1. the CP-content of the $B_s\rightarrow K^+K^-$ mode is 100% CP-even, 2. $\Delta\Gamma_s/\Gamma_s = 0.12 \pm 0.06$, 3. $\Gamma_s=\Gamma_d$.

\begin{eqnarray*}
\frac{BR(B_s\rightarrow \pi^\pm \pi^\mp)}
{BR(B_s\rightarrow K^\pm K^\mp)} <
0.10 @ 90\% C.L.
\end{eqnarray*}



The above result is obtained under the assumption that both modes have the same average lifetime.

\begin{eqnarray*}
\frac{f_s\cdot BR(B_s\rightarrow K^\pm \pi^\mp)}
{f_d\cdot BR(B_d\rightarrow K^\pm \pi^\mp)} <
0.11 @ 90\% C.L.
\end{eqnarray*}




\begin{eqnarray*}
\frac{BR(B_d\rightarrow K^\pm K^\mp)}
{BR(B_d\rightarrow K^\pm \pi^\mp)} <
0.17 @ 90\% C.L.
\end{eqnarray*}




\begin{acknowledgments}
We thank the Fermilab staff and the technical staffs of...
...mme under contract HPRN-CT-20002, Probe for New
Physics.
\end{acknowledgments}


Simone Donati 2004-08-10