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% This is a test file for making slides with LaTeX.
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\documentclass[a4paper,clock]{slides}
\usepackage[dvips]{color,epsfig,graphics}
\pagestyle{headings}
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\begin{document}

\begin{slide}
\normalcolor

\hspace{10cm}ECFA - Durham 

\hspace{12.5cm}Sep 2004

\vspace{3cm}
\textcolor{red}{{\Large Signatures of new vector resonances 
from strong EWSB in}}
\textcolor{red}{{\Large $\;\;\;\;\;\;\;\;\;\;\;\;\;e^+e^- \rightarrow \nu {\bar \nu}
t {\bar t}$}}

\vspace{0.3cm}

\textcolor{blue}{\hspace{5cm}Ivan Melo}

\vspace{2cm}
D. Bruncko (IEP SAS Kosice)\\
M. Gintner (University of Zilina)\\
I.Melo (University of Zilina)

\end{slide}
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\begin{slide}
\normalcolor
\fcolorbox{red}{yellow}{{\Large Outline}}

- motivation for new vector ($\rho$) resonance  \hspace{2cm}search

- $\rho$ resonance model

- cross section calculations of $\rho$ production at $\sqrt{s} = 800\;$and
$1000\;$GeV

\end{slide}
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\begin{slide}
\normalcolor

\fcolorbox{red}{yellow}{{\Large Chiral SB in QCD:}}

$SU(2)_L \times SU(2)_R \rightarrow SU(2)_V,\;\;\;\;v \sim 90$ MeV


%\epsfysize=y_size
%\epsfxsize=x_size
%\epsf[llx lly urx ury]{filename}

\epsfig{file=fd4.eps,bbllx=0cm,bblly=-1cm,bburx=7.5cm,bbury=5cm}

\fcolorbox{red}{yellow}{{\Large EWSB:}}   

$SU(2)_L \times SU(2)_R \rightarrow SU(2)_V,\;\;\;\;v \sim 246$ GeV
\epsfig{file=fd5.eps,bbllx=0cm,bblly=-1cm,bburx=7.5cm,bbury=5cm}

\end{slide}
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\begin{slide}
\normalcolor

\fcolorbox{red}{yellow}{{\Large $W_L W_L \rightarrow t {\bar t}$ scattering}}
\vspace{1cm}
%\epsfysize=y_size
%\epsfxsize=x_size
%\epsf[llx lly urx ury]{filename}

\epsfig{file=fd6a.eps,bbllx=1cm,bblly=-1cm,bburx=7.5cm,bbury=6cm}

\epsfig{file=fd7a.eps,bbllx=0.5cm,bblly=-1cm,bburx=7.5cm,bbury=6cm}

\addtime{300}
\end{slide}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\normalcolor
\fcolorbox{red}{yellow}{A natural Lagrangian} 
\begin{eqnarray}
\label{b1}
{\cal L}_{\rho \pi \pi} & = & + i \textcolor{blue}{g_{\pi}}
\frac{\textcolor{blue}{M_{\rho}}}{v} 
\big( \pi^{-} \partial^{\mu} \pi^{+} - \pi^{+} \partial^{\mu} \pi^{-} \big) \rho_{\mu}^{0} \nonumber \\
{\cal L}_{\rho t t} & = & \textcolor{blue}{g_V} {\bar t} \gamma^{\mu} t \;\rho_{\mu}^{0} 
+ \textcolor{blue}{g_A} {\bar t} \gamma^{\mu} \gamma^5  t \;\rho_{\mu}^{0}; \nonumber
\end{eqnarray}

\fcolorbox{red}{yellow}{Chiral effective ${\cal L}$} 

$SU(2)_L \times SU(2)_R$,  $SU(2)_L \times U(1)_Y$ 
\begin{eqnarray}
\label{a2}
{\cal L} & = & - v^2 \mbox{Tr}[{\cal A_{\mu}}{\cal A^{\mu}}]
- \textcolor{blue}{a} \frac{v^2}{4} \mbox{Tr}[(\omega_\mu + i
\textcolor{blue}{g''}\;{\vec \rho_{\mu}}. {\vec
\tau}/2 )^2] \nonumber \\
 &  & +
  b_1 I_L^b + \textcolor{blue}{b_2} I_R^b + ...
  \nonumber  
\end{eqnarray}

2 sets are related
\begin{eqnarray}
\label{c1}
g_{\pi} & = & \frac{M_{\rho}}{2\; v} \frac{1}{g''} \nonumber \\
g_V & \doteq & \frac{g''}{4}\frac{b_2}{1+b_2}
 \nonumber \\
M_{\rho} & \doteq & \sqrt{a}\; v \;\frac{g''}{2} \nonumber 
\end{eqnarray}
\addtime{300}
\end{slide}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\fcolorbox{red}{yellow}{Unitarity constraints}

$\textcolor{blue}{W_L W_L \rightarrow W_L W_L}$, $\;\;W_L W_L \rightarrow t{\bar t}$,
 $\;\;\textcolor{magenta}{t{\bar t} \rightarrow t{\bar t}}$
%for $\sqrt{s} = 2.5$ TeV 
\begin{eqnarray}
\label{limits2}
\textcolor{blue}{g_{\pi}} & \textcolor{blue}{\leq} & \textcolor{blue}{1.75} \;\;\;\;\;
(M_{\rho} = 700 \;{\rm GeV})
%,\;{\rm for} \; {\rm any} \;\;g_V  \leq 3) 
\nonumber \\
\textcolor{magenta}{g_V} & \textcolor{magenta}{\leq} & \textcolor{magenta}{1.7}
\;\;\;\;\;(M_{\rho} = 700 \;{\rm GeV}) \nonumber
%, \; {\rm for} \;{\rm any} \;\;g_{\pi} \leq 3) \nonumber 
\end{eqnarray}

\fcolorbox{red}{yellow}{Low energy constraints}
\begin{eqnarray}
{\cal L}_{lowE}  & = &
+ \frac{g}{2 c_W} \Big(-\frac{4}{3} s_W^2 + \textcolor{red}{\frac{b_2}{2}}\Big)
\;{\bar t}_R \gamma^{\mu} t_R\; Z_{\mu} + ... \nonumber 
\end{eqnarray}
\begin{eqnarray}
\label{d17}
\delta \epsilon_1 = \frac{3 m_t^2 G_F}{2 \sqrt{2} \pi^2} \;
\textcolor{red}{\frac{b_2}{2}} \;\ln \frac{\Lambda^2}{m_t^2}
\nonumber
\end{eqnarray}

Limits on free parameters are given by
\begin{eqnarray}
\label{d20}
g'' & \stackrel{>}{\sim} & 10 \nonumber \\
|b_2| & \stackrel{<}{\sim} & 0.08   \nonumber
\end{eqnarray}   

\addtime{300}
\end{slide}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\normalcolor
\fcolorbox{red}{yellow}{$\;\;\;\;\;\;\;
e^+e^- \rightarrow \nu{\bar \nu} t {\bar t}\;\;\;\;\;\;\;\;\;$
 (12 of 66 diagrams)}
 
\psfig{file=fd_1.ps,
bbllx=2.2cm,bblly=9.7cm,bburx=17cm,bbury=26.3cm}
\addtime{300}
\end{slide}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\textcolor{magenta}{Subset of fusion diagrams + approximations
(Pythia)}

\epsfig{file=fd8.eps,bbllx=-3.5cm,bblly=1cm,bburx=7.5cm,bbury=6.5cm}

\vspace{2cm}

\textcolor{magenta}{Full calculation of 66 diagrams at tree level
(CompHEP)}


\end{slide}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}


\fcolorbox{red}{yellow}{Pythia vs CompHEP}

$\rho$ ({\small M = 700 GeV, $\Gamma = 12.5$ GeV,}
{\tiny  $b_2 = 0.08, g'' = 20$})

\fcolorbox{black}{white}{Before cuts}

$\sqrt{s}\;$(GeV) \hspace{2cm} 800 \hspace{2cm} 1000 \hspace{2cm} 1500

\textcolor{blue}{Pythia (fb) \hspace{1.6cm}  0.31 \hspace{2cm} 0.81 
\hspace{2.4cm} 3.00}

\textcolor{magenta}{CompHEP (fb) \hspace{0cm}  0.66 \hspace{2.0cm} 1.16 
\hspace{2.3cm} 3.33}\\


\fcolorbox{black}{white}{After cuts}

$\sqrt{s}\;$(GeV) \hspace{2cm} 800 \hspace{2cm} 1000 \hspace{2cm} 

\textcolor{blue}{Pythia (fb) \hspace{1.4cm}  0.05 \hspace{2cm} 0.16 
\hspace{2.4cm} }

\textcolor{magenta}{CompHEP (fb) \hspace{0cm}  0.20 \hspace{2.0cm} 0.16 
\hspace{2.3cm}}


\end{slide}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\normalcolor

\fcolorbox{red}{yellow}{{\Large Backgrounds}} 


\textcolor{blue}{$e^+ e^- \rightarrow t{\bar t} {\gamma}\;\;$}
 + \textcolor{blue}{$\;\;e^+ e^- \rightarrow e^+ e^- t {\bar t}$}

\vspace{1cm}
\hspace{5cm}Pythia:

$\sigma(0.8\;{\rm TeV}) = 300.3 + 1.3$ fb $\;\rightarrow \;\textcolor{blue}{0.13}$
\textcolor{blue}{fb} 

\hspace{11cm}(\textcolor{red}{$0.20\;$}\textcolor{red}{fb})

$\sigma(1.0\;{\rm TeV}) = 204.9 + 2.4$ fb $\;\rightarrow
\;\textcolor{blue}{0.035}$
\textcolor{blue}{fb} 

\hspace{11cm}(\textcolor{red}{$0.16\;$}\textcolor{red}{fb})

\epsfig{file=fd3.eps,bbllx=-3cm,bblly=-2cm,bburx=7.5cm,bbury=6cm}


%\includegraphics[-7cm,-2.7cm][17cm,17.3cm]{fd3.eps}
%\psfig{file=s+bcuts.ps,height=9.6cm,width=12.8cm,
%bbllx=4.2cm,bblly=17.7cm,bburx=17cm,bbury=27.3cm}
\addtime{300}
\end{slide}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}

%\epsfig{file=e1500graph1.ps,bbllx=1cm,bblly=1cm,bburx=17.5cm,bbury=13.5cm}
\epsfig{file=dist_m56_800.eps,height=11cm,width=15cm,
bbllx=1cm,bblly=10.7cm,bburx=19cm,bbury=27.3cm}
\\
\epsfig{file=dist_m56_1000.eps,height=11cm,width=15cm,
bbllx=1cm,bblly=10.7cm,bburx=19cm,bbury=27.3cm}

\end{slide}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


\begin{slide}
\normalcolor

\includegraphics[2.0cm,7.7cm][24cm,7.3cm]{durham1000.eps}
%\psfig{file=s+bcuts.ps,height=9.6cm,width=12.8cm,
%bbllx=4.2cm,bblly=17.7cm,bburx=17cm,bbury=27.3cm}
\addtime{300}
\end{slide}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\normalcolor
\hspace{3cm}
\textcolor{blue}{{\small $R = \frac{|N(\rho) - N({\rm no}\; {\rm resonance})|}{\sqrt{N({\rm Background}) 
+ N({\rm no}\; {\rm resonance})}}$}}

%\epsfig{file=e1500graph1.ps,bbllx=1cm,bblly=1cm,bburx=17.5cm,bbury=13.5cm}
\epsfig{file=contours800.eps,height=10cm,width=18cm,
bbllx=1cm,bblly=10.7cm,bburx=19cm,bbury=27.3cm}
\\
\epsfig{file=contours1000.eps,height=10cm,width=18cm,
bbllx=1cm,bblly=11.7cm,bburx=19cm,bbury=27.3cm}

\end{slide}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\normalcolor

\epsfig{file=contours800.eps,height=10cm,width=18cm,
bbllx=1cm,bblly=10.7cm,bburx=19cm,bbury=27.3cm}
\\
\epsfig{file=contours800mtt.eps,height=10cm,width=18cm,
bbllx=1cm,bblly=11.7cm,bburx=19cm,bbury=27.3cm}


\end{slide}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\normalcolor

\epsfig{file=contours1000.eps,height=10cm,width=18cm,
bbllx=1cm,bblly=10.7cm,bburx=19cm,bbury=27.3cm}
\\
\epsfig{file=contours1000mtt.eps,height=10cm,width=18cm,
bbllx=1cm,bblly=11.7cm,bburx=19cm,bbury=27.3cm}


\end{slide}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%     CONCLUSIONS          !!!!!
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{slide}
\normalcolor
\fcolorbox{red}{yellow}{{\Large Conclusions}}

\textcolor{magenta}{$\rho$ in $e^+e^- \rightarrow \nu{\bar \nu} t {\bar t}$ (Pythia and
CompHEP)}

- agreement within 10 \% \\
- no t decays 
 
$\sigma(0.8\;{\rm TeV}) = \;$\textcolor{red}{$0.20\;$} \textcolor{blue}{(0.13)} fb \\
$\sigma(1.0\;{\rm TeV}) = \;$\textcolor{red}{$0.16\;$} \textcolor{blue}{(0.035)} fb

R ($\rho$ vs no resonance) values up to 8
 
 - optimize cuts \\
 - finalize analysis for all models considered \\
 - $e^+e^- \rightarrow \nu{\bar \nu} W^+ W^-$

 

\end{slide}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\normalcolor
\fcolorbox{blue}{green}{{\Large Appendix with more details}}
\end{slide}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\normalcolor

\fcolorbox{blue}{green}{$\sqrt{s} = 800\;$GeV}

Clean events only

{\small Cuts:

$500 < m_{tt} < 750\;$GeV

$p_T(tt) > 15\;$GeV, $p_T(tt) < 300\;$GeV

$E_t, E_{\bar t} < 380\;$GeV

$M_{rec} > 50\;$GeV

$|\cos{\theta_{t,{\bar t}}}| < 0.8$

$20 < p_{T}(t), p_{T}(\bar t) < 330\;$GeV

no central $\gamma$: $E_{\gamma} > 50\;$GeV, $|\cos{\theta_{\gamma}}| < 0.99$

$E_{miss} > 90\;$GeV

$|\cos{\theta_{miss}}| < 0.984\;(\textcolor{magenta}{0.96})$

Detector angle : \textcolor{magenta}{$\cos{\theta} = 0.99$ (8 degrees)}}


\end{slide}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{slide}
\normalcolor


\psfig{file=s+bdistrib800A.ps,height=21cm,width=12.8cm,
bbllx=2.2cm,bblly=5.7cm,bburx=17cm,bbury=27.3cm}



\end{slide}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\normalcolor

\psfig{file=s+bdistribdetail800A.ps,height=21cm,width=12.8cm,
bbllx=2.2cm,bblly=5.7cm,bburx=17cm,bbury=27.3cm}

\end{slide}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\normalcolor

\psfig{file=s+bcuts800A.ps,height=21cm,width=12.8cm,
bbllx=2.2cm,bblly=5.7cm,bburx=17cm,bbury=27.3cm}

\end{slide}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%   1000 GeV    1000 GeV    1000 GeV    1000 GeV  %%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\normalcolor

\fcolorbox{blue}{green}{$\sqrt{s} = 1000\;$GeV}

Clean events only

{\small Cuts:

$500 < m_{tt} < 900\;$GeV

$p_T(tt) > 15\;$GeV, $p_T(tt) < 400\;$GeV

$E_t, E_{\bar t} < 480\;$GeV

$M_{rec} > 150\;$GeV

$|\cos{\theta_{t,{\bar t}}}| < 0.8$

$20 < p_{t}, p_{\bar t} < 420\;$GeV

no central $\gamma$: $E_{\gamma} > 50\;$GeV, $|\cos{\theta_{\gamma}}| < 0.99$

$E_{miss} > 100\;$GeV

$|\cos{\theta_{miss}}| < 0.984\;(\textcolor{magenta}{0.96})$

Detector angle : \textcolor{magenta}{$\cos{\theta} = 0.99$ (8 degrees)}}


\end{slide}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\begin{slide}
\normalcolor


\psfig{file=s+bdistrib1000A.ps,height=21cm,width=12.8cm,
bbllx=2.2cm,bblly=5.7cm,bburx=17cm,bbury=27.3cm}



\end{slide}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{slide}
\normalcolor

\psfig{file=s+bdistribdetail1000A.ps,height=21cm,width=12.8cm,
bbllx=2.2cm,bblly=5.7cm,bburx=17cm,bbury=27.3cm}

\end{slide}


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\end{document}
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