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\author{\sf Athanasios Dedes}
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\date{30/6/2000}
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\Trtitle{\sf Footprints from Supersymmetry at B-factories and  Colliders
~~~~~~~~~~~~~~~~~~~~PPARC proposal}
%
\Large
\sf
%
\begin{titlepage}


\setlength{\fboxrule}{2pt}

\vskip1cm

\begin{center}
{\LARGE \Red{ PPARC Proposal, 30 January, 2002}}\\[2cm]
%{\LARGE \Red{ 19 - 24 September 1999,
%St John's College, Durham }}\\[1cm]
\Green{Athanasios Dedes}\\
\end{center}
\vskip 0.2 cm
\begin{center}
{\large   \sl   University of Bonn, Germany  } \\
\end{center}

\vskip1.0cm

\begin{center}
\fcolorbox{blau}{groguenc}{\textcolor{blau}{\fontsize{10mm}{16}
\begin{tabular}{c}
\sf       \phantom{  ..... ............... .....}     \\
%\sf        \Red{{\bf  $B_s \to \mu^+\mu^-$  }} \\
\sf \Red{{ \bf  Footprints from Supersymmetry  }}\\[0.5cm]
\sf     \Red{{\bf  at B-factories and  Colliders   }} \\
% \\ \sf \Red{{\bf at hadron colliders in the MSSM}}    \\
\sf       \phantom{  ..... ............... .....}     \\
\end{tabular}}}
\end{center}

\vskip0.5cm
%\begin{center}
%\Green{In collaboration with:}\\[2mm]
%\Red{H.~ Dreiner and U.~Nierste, 
%Phys.\ Rev.\ Lett.\  {\bf 87}, 251804 (2001), {\tt hep-ph/0108037}} \\
%\end{center}


\vskip0.5cm

%\LARGE{ \Blue{We show :}}
\Large{
\begin{enumerate}
\item \Blue{ Rare B-decays}
\item \Blue{ Supersymmetry}
\item \Blue{ The footprints }
\item \Blue{ The strategy}
\end{enumerate}
}


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%\end{center}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\end{titlepage}


%
% ----------------------------------------
%
% ----------------------------------------
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Theory , Channels ...
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\newpage

\CTran{Rare B-decays}

\spa 

\Green{$\bullet$} \Blue{b-quark : an important laboratory for the exploration 
of the Standard Model and Beyond}

\begin{itemize}

\item  \Blue{Large mass and Long Lifetime}


\item  \Blue{Large production cross section in $e^+e^-$ and hadron
collisions}

\item  \Blue{The strong force binds \Red{b-quarks} and 
\Red{d or s-antiquarks}
making \Red{$B_d$ or $B_s$} mesons}


\item \Blue{Huge data samples of B-meson decays \Red{$\rightarrow$}
 B-factories \Red{$\rightarrow$} \Red{CLEO, Belle, Babar}}

\item \Blue{Huge data samples of B-meson decays are also expected
at \Red{Tevatron} and \Red{LHC}}



\end{itemize}

\spa

\Green{$\bullet$} \Blue{Rare B-decays }

\begin{itemize}

%\item \Blue{Heavily Cabbibo-suppressed \Red{$b\to u$}}

\item \Blue{They appear only at the Quantum Level in the SM}

\item \Blue{Flavour Changing Neutral Currents (FCNC) \Red{$b\to s,d$ }}


\end{itemize}


\newpage

\CTran{Rare B-decays}

\spa 

\Green{$\bullet$} \Blue{Limits on some Rare B-decays}

\spa

 %%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{center}
\large{
%\begin{table}
\begin{tabular}{|c|c|c|c|c|}\hline
Type & Channel & Expt. &Expt. value & SM prediction  \\ \hline
Lepton Flavour & $B_d^0 \to e^\pm \mu^\mp$ & CDF & $< 3.5\times
10^{-6}$ & 0 \\ 
  &  $B_s^0 \to e^\pm \mu^\mp$ & CDF &$< 6.1\times 10^{-6}$ & 0 \\
\hline
FCNC & $B_d^0\to \mu^+\mu^-$ & CDF & $< 8.6\times 10^{-7}$ & $1.5\times
10^{-10}$ \\
 & $B_s^0\to \mu^+\mu^-$ & CDF & $< 2.0\times 10^{-6}$ & $3.5\times
10^{-9}$ \\
  & $B^+\to K^+\mu^+\mu^-$ & BaBar & $< 1.3\times 10^{-6}$ & $0.4\times
10^{-6}$ \\
  & $B^0\to K^{*0}\mu^+\mu^-$ & Belle & $< 3.0\times 10^{-6}$ & $1 \times
10^{-6}$ \\ \hline
 & $B^0\to K l^+ l^-$ & Belle & \Red{$0.75\times 10^{-6}$} & 
$0.35 \times
10^{-6}$ \\
 & $B^0\to X_s \gamma $ & CLEO & \Red{$3.2\times 10^{-4}$} & 
$3.4\times 10^{-4}$ \\
%$\ddagger$ & $B_d^0\to K^{*0}\gamma $ & CDF & $2.2\times 10^{-4}$ & 
%$10^{-5}-10^{-4}$ \\
\hline
\end{tabular}}
%\caption{Limits on (some) rare B-decays set by various experiments.
%$\dagger$ Belle has evidence for $Br(B_d^0\to
%K\mu^+\mu^-)=(0.99^{+0.39+0.13}_{-0.32-0.15})\times 10^{-6}$ and
%$\ddagger$ CLEO has measured $Br(B_d^0\to
%K^{*0}\gamma)=(4.2\pm0.8\pm0.6)\times 10^{-5}$. }
%\end{table}
\end{center}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%



\spa

\spa
%\Large

\Red{$\surd$} \Blue{ The difference between the experimental bounds
and the SM prediction is a \Red{``Window''} for Physics Beyond
the SM } 

\spa

\Red{$\surd$} \Blue{ Example : \Red{\bs} ~could be soon found  at Tevatron }


\spa\spa

\centerline{\Green{Question }} 

\Blue{Can \Red{Supersymmetry} be revealed in such Rare B-meson decays?}


%%%%%%%%%%%%%%%%
\newpage

\CTran{Supersymmetry}

\spa

\Green{$\bullet$} \Blue{Supersymmetry unites particles of different spin}

\begin{itemize}

\item \Blue{has profound implications for fundamental physics}

\item \Blue{ can be enlarged to include gravity}
%theory of \Red{matter and gravitation} known as \Red{Supergravity}}

\item \Blue{ offers a hope of solving the hierarchy problem}

\end{itemize}

\spa

\Green{$\bullet$} \Blue{A minimal supersymmetric extension of the SM has
been constructed, which is known as \Red{MSSM}}

\begin{itemize}

\item \Blue{ unifies strong and electroweak forces} 
% at a scale close to the gravitational one}

\item \Blue{Gravity plays an essential role in supersymmetry breaking}


\item \Blue{offers a candidate particle to account for dark matter}

\item \Blue{predicts a light Higgs boson}

\item \Blue{predicts new  particles-partners of the SM ones}

\end{itemize}

\spa

\centerline{\Red{$\longrightarrow$} \Blue{Observables are affected }}

\spa

\Green{$\bullet$} \Blue{Example : In MSSM the B-decay \Red{\bs} and
the \Red{muon anomalous magnetic moment} are  enhanced with respect to the SM}

%%%%%%%%%%%%%%%%%%%
\newpage

\CTran{The footprints}



\vspace*{1cm}

\centerline{\epsfig{figure=btomumu_pparc.ps,angle=90}}

{\small A.~Dedes, H.~K.~Dreiner and U.~Nierste, Phys.\ Rev.\ Lett.\  {\bf 87}, 251804 (2001)}

\spa

\Red{$\surd$} \Blue{Striking correlation of the Rare decay \bs ~ and
the muon anomalous magnetic moment}

\Red{$\surd$} \Blue{More than 10 events can be seen at Tevatron/CDF}

\Red{$\surd$} \Blue{Crucial test for the SO(10) Grand Unified Models}


%%%%%%%%%%%%%%%%%%
\newpage

\CTran{The Strategy}

\spa

%\Green{$\bullet$} \Blue{Footprints from Supersymmetry at :}

\begin{itemize}

\item \Red{B-factories (CLEO, Babar, Belle)} 

\begin{itemize}

\item  \Blue{Define the Rare B-decays which are affected by SUSY}

\item \Blue{Calculate quantum corrections for these decays}

\end{itemize}


\item \Red{Colliders (Tevatron)} 



\begin{itemize}

\item \Blue{Search for Rare B-decays at Tevatron}

\item \Blue{Search for direct evidence of supersymmetry}

\item \Blue{Make Monte-Carlo analysis}

\end{itemize}

  
\item \Red{B-factories} \Blue{and} \Red{Colliders} 

\begin{itemize}


\item  \Blue{Search for correlations between observables}

\item \Blue{Define or restrict the unknown parameters of SUSY} 

\end{itemize}


\item \Red{Build a bridge between Cavendish and DAMTP!} 

\begin{itemize}

\item  \Blue{Apply  to Grand Unified  and/or to
Superstring Models}

\end{itemize}


\end{itemize} 


\end{document}