\section{Sensitivities studies and main results}
\label{sec:results}


\begin{figure}[!h]
\includegraphics[width=17cm]{aveDeltaTErr_vs_bg_kpikpi.eps}
\caption{Average error [ps] of the reconstructed proper time difference between the two $D$ mesons in the decay $\Psi(3770)\to D\bar D$ with $D\to K^-\pi^+$, $\bar D\to K^-\pi^+$, as a function of the 
CM boost. As a comparison, the $D^0$ lifetime is 0.4~ps.}
\label{fig:aveDeltaTErr_vs_bg_kpikpi} 
\end{figure}
%
\begin{figure}[!h]
\includegraphics[width=17cm]{eff_vs_bg_kpikpi.eps}
\caption{Reconstruction efficiency of the decay $\Psi(3770)\to D\bar D$ with $D\to K^-\pi^+$, $\bar D\to K^-\pi^+$ as a function of the CM boost. The signal candidates are truth-matched and 
no additional selection cuts are applied, therefore the efficiency is essentially geometric. }
\label{fig:eff_vs_bg_kpikpi} 
\end{figure}


%\input table_final_state_list_v1.tex
%\input table_final_state_list_v2.tex
\input table_final_state_list.tex



\begin{figure}[p]
\begin{center}
\begin{tabular} {c|c}
  \subfigure[]{\epsfig{file=combinedx0.1-x.eps,width=0.43\linewidth}} &
  \subfigure[]{\epsfig{file=combinedx0.1-y.eps,width=0.43\linewidth}} \\ \hline
  \subfigure[]{\epsfig{file=combinedx0.1-argqOverp.eps,width=0.43\linewidth}} &
  \subfigure[]{\epsfig{file=combinedx0.1-absqOverp.eps,width=0.43\linewidth}} \\
\end{tabular}
\end{center}
\caption{Central values, errors and pulls for the mixing and CP-violating parameters from the fit to the $\Psi(3770)$ Monte Carlo experiments,
with perfect resolution and no mistag. The statistics for each of the 8 two-body double-tags is 1/10 of what is reported in the 3rd column of
Table~\ref{tab:final_states_list2}. The generated values are the current HFAG values, $x=0.00628$, $y=0.00747$, $|q/p|=1$, $\phi=-0.179$ rad, 
$\delta_{K\pi}=3.525$ rad.
\label{fig:ToyMcPsi}}
\end{figure}


\begin{figure}[p]
\begin{center}
\begin{tabular} {c|c}
  \subfigure[]{\epsfig{file=combinedx0.005-x.eps,width=0.43\linewidth}} &
  \subfigure[]{\epsfig{file=combinedx0.005-y.eps,width=0.43\linewidth}} \\ \hline
  \subfigure[]{\epsfig{file=combinedx0.005-argqOverp.eps,width=0.43\linewidth}} &
  \subfigure[]{\epsfig{file=combinedx0.005-absqOverp.eps,width=0.43\linewidth}} \\
\end{tabular}
\end{center}
\caption{Central values, errors and pulls for the mixing and CP-violating parameters from the fit to the $\Upsilon(4S)$ Monte Carlo experiments,
with perfect resolution and no mistag. The statistics for each of the 4 two-body double-tags is 1/200 of what is reported in the 2nd column of
Table~\ref{tab:final_states_list2}.  The generated values are the current HFAG values, $x=0.00628$, $y=0.00747$, $|q/p|=1$, $\phi=-0.179$ rad, 
$\delta_{K\pi}=3.525$ rad.
\label{fig:ToyMcUps}}
\end{figure}


\input table_final_sensitivities.tex

\input table_final_sensitivities_final.tex

