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\begin{center}
{\huge \bf Searches for squarks in\\ $R_p$ violating SUSY}%
\end{center}

\vspace*{2cm}
\begin{center}
{\huge \bf Abstract:}%
\end{center}

\normalsize \Large
A search for squarks in R-parity violating supersymmetry is
performed in $e^+p$ collisions at HERA at a centre of mass
energy of $320\,\mbox{GeV}$, using 99/00 H1 data corresponding to an
integrated luminosity of $63\,\mbox{pb}^{-1}$. The direct production of
single squarks of any generation in positron-quark fusion via a
Yukawa coupling $\lambda^\prime$ is considered, taking into account
R-parity violating and conserving decays of the squarks. No
significant deviation from the Standard Model expectation is
found. The results are interpreted in terms of constraints within
various supersymmetric models and their sensitivity to the
model parameters is studied in detail. 
\\

For details of the analysis please have a look at
\begin{itemize}
\item the publication on the similar analysis performed on 1994-1997 H1 data:
\\
{\bf DESY-01-021 or hep-ex/0102050 }
\item the internal web page where all cuts, control plots and some informations are given:
\\
file:///afs/desy.de/user/h/haller/h1/prelim/prelim.html
\end{itemize}
  
\newpage
  \begin{figure}
    \epsfig{file=H1prelim-03-061.fig1.ps, scale=0.93, angle=90.0}
  \parbox{12cm}{\caption[mass spectrum in leptoquark channel]
    {\label{fig1}Mass spectrum in the electron-leptoquark channel. The mass is calculated 
from $M_e = \sqrt{s x}$ where $s$ is the square of the $ep$ centre of mass energy and
$x$ is calculated using information from the electron.}}
  \end{figure}
\newpage
  \begin{figure}[h]
  \begin{center}
    \epsfig{file=H1prelim-03-061.fig2.ps, scale=0.93, angle=90.0}
  \parbox{12cm}{\caption[mass spectrum in the decay channel with one electron and multiple jets]
    {\label{fig2}Mass spectrum in the decay channel with one electron and multiple jets. The reconstruction method used is as described in DESY-01-021.}}
  \end{center}
  \end{figure}

\newpage
  \begin{figure}[h]
  \begin{center}
    \epsfig{file=H1prelim-03-061.fig3.ps, scale=0.93, angle=90.0}
  \parbox{12cm}{\caption[mass spectrum in the decay channel with missing transverse
momentum and multiple jets]
    {\label{fig3}Mass spectrum in the decay channel with missing transverse momentum and multiple jets. The reconstruction method used is as described in DESY-01-021.}}
  \end{center}
  \end{figure}

\newpage

%\begin{table}[htb]
%\begin{center}
% \begin{tabular}{|l|c|c|}\hline
%  Channel & data & SM prediction \\ \hline \hline
%  NC-LQ & 690 & 705.9\,$\pm$\,51.3\\\hline
%  eMJ & 104 & 89.6\,$\pm$\,14.0 \\
%  $e^-$MJ & 0 & 0.33\,$\pm$\,0.15\\
%  eeMJ & 0 & 0.79\,$\pm$\,0.22\\
%  e$\mu$MJ & 0 & 0.96\,$\pm$\,0.26\\
%  $\nu$eMJ & 0 & 1.7\,$\pm$\,0.5\\\hline
%  $\nu$MJ & 36 & 36.8\,$\pm$\,6.0 \\
%  $\nu\mu$MJ & 0 & 0.65\,$\pm$\,0.25\\\hline\hline
% \end{tabular}
%  \parbox{135mm}{\caption[total event numbers]
%   {Summary of total event numbers for all decay channels. The selection cuts are basically the same as in DESY-01-021.}
%  \label{totnum}}
% \end{center}
%\end{table}

\include{table}

\newpage
  \begin{figure}[h]
  \begin{center}
    \epsfig{file=H1prelim-03-061.fig4a.ps, scale=0.78, angle=0.0}
  \parbox{12cm}{\caption[limits on $\lambda'_{1j1}\quad j=1,2$]
    {\label{fig4a}Limits on $\lambda'_{1j1}\quad j=1,2$ as a function of squark mass from a scan in SUSY parameter space for $\tan\beta=2$ to study the model dependence. Shown is the strongest (yellow, grey) and the weakest (red, dark) value for the coupling limit. Compared with the analysis of 1994-1997 data, the improvement is largest at high masses, because of the increased centre-of-mass energy. The slepton masses are set to 90\,GeV (about the LEP limit). The dashed-dotted line indicates the indirect bound on $\lambda'_{111}$ form neutrinoless double beta decay ($\beta\beta 0\nu$) assuming a gluino mass of 1\,TeV. The dashed curve shows the indirect bounds from atomic parity violation (APV).}}
  \end{center}
  \end{figure}

\newpage

  \begin{figure}[h]
  \begin{center}
    \epsfig{file=H1prelim-03-061.fig4b.ps, scale=0.78, angle=0.0}
  \parbox{12cm}{\caption[limits on $\lambda'_{1j1}\quad j=3$]
    {\label{fig4b}Limits on $\lambda'_{1j1}\quad j=3$ as a function of squark mass from a scan in SUSY parameter space for $\tan\beta=2$. Shown is the strongest (yellow, grey) and the weakest (red, dark) value for the coupling limit. Compared with the analysis of 1994-1997 data, the improvement is largest at high masses because of the increased centre-of-mass energy. The slepton masses are set to 90\,GeV (about the LEP limit). The case of $j=3$ must be treated separately since $\lambda'_{131}\ne 0$ may lead to a top quark in the final state, for which the selection efficiencies are not known. Although most of the stop decays are in fact covered by our analysis, the efficiency was conservatively set to zero for cases with a top quark in the final state.
The dashed curve shows the indirect bounds from atomic parity violation (APV).
}}

  \end{center}
  \end{figure}
\newpage
  \begin{figure}[h]
  \begin{center}
    \epsfig{file=H1prelim-03-061.fig5a.ps, scale=0.7, angle=0.0}
  \parbox{12cm}{\caption[Limits in mSUGRA for $j=1,2$]
    {\label{fig5a}Limits in the minimal Super--Gravity model with $\tan \beta =2$. Shown is the area that is 
not allowed (hatched) and the area that is excluded by H1. Curves of constant squark mass
are also shown. Compared to the analysis of 1994-1997 data, we improve the limits by 15\,GeV for the squark mass, now reaching 275\,GeV for a coupling of electromagnetic strength. The regions below the dashed curves are excluded by D0 and L3 respectively.
%The 
%rectanglular region at low $m_{1/2}$ and large $m_0$ which is not excluded corresponds
%to the case where all gaugino masses are below 30 GeV (anyway excluded by LEP) and we 
%haven't generated signal for these cases. So the efficiency was set to zero for gaugino 
%masses below 30 GeV. The little 'nose' at $m_{1/2}\approx60\,\mbox{GeV}$ results 
%from the neutralino mass, falling below $30\,\mbox{GeV}$ at this point.  
}} 
  \end{center}
  \end{figure}

\newpage

  \begin{figure}[h]
  \begin{center}
    \epsfig{file=H1prelim-03-061.fig5b.ps, scale=0.7, angle=0.0}
  \parbox{12cm}{\caption[Limits in mSUGRA for $j=1,2$]
    {\label{fig5b}Limits in the minimal Super--Gravity model with $\tan \beta =6$. 
Shown is the area that is not allowed (hatched) and the area that is excluded by H1. 
Curves of constant squark mass
are also shown. Compared to the analysis of 1994-1997, we improve the limits by 15\,GeV for the squark mass, now reaching 275\,GeV for a coupling of electromagnetic strength. 
%For explanations of the 'nose' at $m_{1/2}\approx68\,\mbox{GeV}$ and the rectangle at low $m_{1/2}$ and large $m_0$ see caption of figure\,\ref{fig5a}
}} 
  \end{center}
  \end{figure}
\newpage
  \begin{figure}[h]
  \begin{center}
    \epsfig{file=H1prelim-03-061.fig5c.ps, scale=0.7, angle=0.0}
  \parbox{12cm}{\caption[Limits in mSUGRA for $j=1,2$]
    {\label{fig5c}Limits in the minimal Super--Gravity model with $\tan \beta =10$. Shown 
is the area that is not allowed (hatched), the area that is excluded by H1 and curves
of constant squark mass. We now give a limit for $\tan\beta=10$ since 
recent Higgs searches at LEP suggest a large value of $\tan\beta$. }} 

  \end{center}
  \end{figure}
\newpage
  \begin{figure}[h]
  \begin{center}
    \epsfig{file=H1prelim-03-061.fig5d.ps, scale=0.7, angle=0.0}
  \parbox{12cm}{\caption[Limits in mSUGRA for $j=3$]
    {\label{fig5d}Limits in the minimal Super--Gravity model for $\tan \beta = 2$ with
$j=3$, which is treated separately for the reasons explained in the caption of figure\,\ref{fig4b}. Shown is the area that is not allowed (hatched), the area that is excluded by H1 and curves of constant
stop mass. The sharp edges are well understood, mostly corresponding to regions
where the gaugino masses fall below 30\,GeV and our efficiency is set to zero. We are sensitive to this region, but we did not consider it, since gaugino masses below 30\,GeV are excluded by LEP searches. For more details see DESY-01-021.}} 
  \end{center}
  \end{figure}

\newpage

  \begin{figure}[h]
  \begin{center}
    \epsfig{file=H1prelim-03-061.fig5e.ps, scale=0.7, angle=0.0}
  \parbox{12cm}{\caption[Limits in mSUGRA for $j=3$]
    {\label{fig5e}Limits in the minimal Super--Gravity model for $\tan \beta = 6$ with
$j=3$. Shown is the area that is not allowed (hatched), the area that is excluded by H1
and curves of constant stop mass.}} 
  \end{center}
  \end{figure}
\newpage
  \begin{figure}[h]
  \begin{center}
    \epsfig{file=H1prelim-03-061.fig5f.ps, scale=0.7, angle=0.0}
  \parbox{12cm}{\caption[Limits in mSUGRA for $j=3$]
    {\label{fig5f}Limits in the minimal Super--Gravity model for $\tan \beta = 10$ with
$j=3$. Shown is the area that is not allowed (hatched), the area that is excluded by H1
and curves of constant stop mass.}} 
  \end{center}
  \end{figure}








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