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\begin{titlepage}

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\multicolumn{4}{l}{{\bf
                32nd International Conference
                on High Energy Physics, ICHEP04},
                August~16,~2004,~Beijing} \\
                 & Abstract:        & {\bf  12-0765 }    &\\
                 & Parallel Session & {\bf 4,12}   &\\ \hline
 & \multicolumn{3}{r}{\footnotesize {\it www-h1.desy.de/h1/www/publications/conf/conf\_list.html}} \\[.2em]
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% \noindent
% Date:               \\
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%\begin{flushright}
%H1prelim-04-063\\
%July 28, 2004
%\end{flushright}
\vspace{2cm}

\begin{center}
\begin{Large}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf \boldmath Analysis of High $ P_T$  HERA II Data }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\vspace{2cm}

H1 Collaboration

\end{Large}
\end{center}

\vspace{1cm}

\begin{abstract}
\noindent

Searches for events with isolated leptons and missing transverse
momentum, for multi--lepton events and a general search for new
phenomena are performed on a data sample collected in $e^\pm p$
collisions with the H1 detector at HERA in the period 1994--2004. This
data sample corresponds to an integrated luminosity of 163 pb$^{-1}$,
which includes 45 pb$^{-1}$ of $e^{+}p$ data recently taken in the new
HERA~II phase.

\end{abstract}


\vspace{1.5cm}

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\pagestyle{plain}

                                                                                                                                                                                                                                                   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Search for Events with Isolated Electrons or Muons and \\Missing Transverse Momentum }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


The search for events containing isolated leptons and missing transverse momentum is
performed in the new HERA II data using the same selection as for HERA I. Seven
events in the electron channel and one event in the muon channel are
found in the recent HERA II data compared to Standard Model
predictions of 4.1 $\pm$ 0.6 and 1.2 $\pm$ 0.2, respectively. Events
with large hadronic transverse momentum are observed in the new data,
similar to the previous observation at HERA I.


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Introduction}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


The H1 Collaboration has reported the observation of events with
energetic isolated electrons or muons associated with missing
transverse momentum~\cite{isolAndreev:2003pm}. The analysis included
the full HERA~I data sample corresponding to an integrated luminosity
of 118~pb$^{-1}$.  Presented here is an update of the published
analysis, including the new $e^{+}p$ data sample accumulated at
HERA~II from October 2003 to July 2004, corresponding to an integrated
luminosity of 45~pb$^{-1}$.


Standard Model (SM) ``signal'' processes are defined as those events
which contain a genuine high $P_{T}$ isolated lepton accompanied by
genuine, large missing transverse momentum. The dominant SM process
that may produce events with this topology is the production of real
$W$ bosons with subsequent leptonic decay. In the SM $W$ bosons are
mainly produced in the photoproduction regime. ``Background'' processes 
also contribute to the measurement when either the isolated lepton or 
the missing transverse momentum is faked. Main contributions to the background 
are due to neutral current and charged current deep inelastic scattering and to the lepton pair production.


In the HERA~I data, the H1 Collaboration observe 11 electron events
and 8 muon events compared to a SM expectation of 11.5~$\pm$~1.5 and
2.9~$\pm$~0.5, respectively. At large hadronic transverse momentum
$P_T^X>25$~GeV, 5 electron events and 6 muon events are observed
compared to a SM expectation of 1.8~$\pm$~0.3 and 1.7~$\pm$~0.3
respectively. The dominant contribution to the SM expectation arises
from signal processes. 


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection {Analysis of HERA II Data}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


The event selection is identical to that used in the HERA~I analysis
and is detailed in table~\ref{cutsb}. The main selection requirements
are as follows. The lepton should have high transverse momentum
$P_{T}^{l}$, should have a polar angle $\theta_{l}$ corresponding to 
the central region of the detector,
and should be isolated with respect
to jets and other tracks in the event. The isolation of the lepton is
quantified using the distances in $\eta-\phi$ space to the nearest jet
$D_{jet}$ and the nearest track $D_{track}$. The event should contain a
large transverse momentum imbalance, both measured in the calorimeter,
$P_{T}^{calo}$ and over the complete event, $P_{T}^{miss}$. In order
to reduce background contributions, further cuts are applied
using variables sensitive to the presence of high energy undetected
particles in the event: the azimuthal balance of the event
$\frac{V_{ap}}{V_p}$, the difference in azimuthal angle between the
lepton and the hadronic system, $\Delta\phi_{l-X}$, and the
longitudinal momentum imbalance $\delta_{miss}$. Further details on
these variables and the event selection can be found in
\cite{isolAndreev:2003pm}.


\begin{table}[h]
\begin{center}
\begin{tabular}{|c||c|c|} \hline
 Variable  & Electron  & Muon \\ \hline
\hline
$\theta_l$ &  \multicolumn{2}{c|}{$5^\circ<\theta_l<140^\circ$}\\
\hline
$P_T^l$ & \multicolumn{2}{c|}{$ >10$ GeV}\\
\hline
$P_T^{\rm calo}$ & \multicolumn{2}{c|}{$> 12$ GeV}\\
\hline                                                   
$P_T^{\rm miss}$ & \multicolumn{2}{c|}{$> 12$ GeV}\\
\hline
$P_T^X$ &  --  &$> 12$ GeV\\ 
\hline
$D_{jet}$ & \multicolumn{2}{c|}{$>$ $1.0$}\\
\hline
$D_{track}$ & $> 0.5$ for $\theta_e \ge 45^\circ$ &  $> 0.5$ \\
\hline
$\zeta^2_l$ & $>5000$ GeV$^2$ for $P_T^{\rm calo} < 25$ GeV & --\\
\hline
$\frac{V_{ap}}{V_p}$ & $< 0.5$ ($< 0.15$ for $P_T^e < 25$ GeV) & $< 0.5$ ($<$ $0.15$ for $P_T^{\rm calo} < 25$ GeV)\\
\hline
$\Delta\phi_{l-X}$ & $< 160^\circ$ & $< 170^\circ$ \\
\hline
\# isolated $\mu$ & $0$ & $1$\\
\hline
$\delta_{\rm miss}$ & $ > 5$ GeV $^\dagger$ & -- \\
\hline
\end{tabular}
\begin{flushright}
  $^\dagger$ {\it if only one $e$ candidate is detected, which has the
    same charge as the beam lepton.}
\end{flushright}
\end{center}
\caption{Selection requirements for the electron and muon channels in the search for events with isolated leptons and missing transverse momentum.}
\label{cutsb}
\end{table}


The analysis of the HERA II data yields seven electron events and one
muon event for an expectation of 4.1~$\pm$~0.6 and 1.2~$\pm$~0.2
respectively. The SM prediction is dominated by signal processes,
mainly real $W$ production.
Table~\ref{tab:hera2details} summarises the results obtained from the
analysis of the HERA II data sample. The $P_{T}^{X}$ distribution for
the electron and muon channels combined for the HERA~II data is displayed in
figure \ref{fig:ptxhera2}. In the electron channel a slight excess of
events is observed in the data compared to the SM expectation for
$P_T^X>25$~GeV. The isolated electron charge is negative in one event
and positive in the other six events, including all three candidates at
large $P_T^X>25~\gev$. The observation of one muon event in the data
is in agreement with the SM predicted event yield. The muon charge is 
 positive in this event. The signal is expected to produce
similar yields for both lepton charges. The same is true for all
background processes except  neutral current DIS, which represents
about a half of the background in the electron channel, and which
produces mainly positively charged  candidates.


Figure \ref{fig:elasticevent} displays one of the HERA~II electron
events. It shows a high $P_{T}$ electron and large missing transverse
momentum. The absence of any reconstructed hadronic system $X$ makes
this event a candidate for elastic $W$ production. Figure
\ref{fig:highptxevent} shows a HERA~II electron event with high
$P_{T}^{X}$. Similar features are visible to those in figure
\ref{fig:elasticevent}: a high $P_{T}$ electron and large missing
transverse momentum. However, also present in this event is a
prominent hadronic jet, giving rise to the large $P_T^X$.


The increase of the data sample with respect to the published HERA I
analysis is, at the present time, modest at about 40\%. Nevertheless,
events with $\ell+P_T^{\rm miss}$ topology have also been observed in
the HERA II data sample, including events containing prominent
hadronic system. Table \ref{tab:hera1+2isolep} shows the combined
results for the HERA~I and HERA~II searches for events containing
isolated electrons or muons and large missing transverse momentum,
corresponding to an integrated luminosity of 163~pb$^{-1}$. In both
channels the SM expectation is dominated by signal processes, the main
contribution arising from real $W$ production. Combining the electron
and muon channels, 27 events are observed in the full data sample, for an
expectation from SM processes of 19.5$\pm$2.8. At large hadronic
momentum $P_T^X>25~\gev$, 14 events are observed in the data for an
expectation of 5.1$\pm$1.0. The probability for the SM expectation to
fluctuate to the observed number of events or more is 0.0022 for
$P_{T}^{X} > 25$ GeV, compared to 0.0015 reported for the same region
in the HERA I data. The $P_{T}^{X}$ distribution in the electron and
muon channels combined for the combined HERA~I and HERA~II data is
displayed in figure \ref{fig:ptxhera1+2}.


%The increase in luminosity expected from the HERA II programme in the
%coming years will improve the precision of the measurement of events
%with isolated leptons and missing transverse energy and will clarify
%the excess observed at large hadronic transverse momentum.


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{thebibliography}{99}

%\cite{Andreev:2003pm}
\bibitem{isolAndreev:2003pm}
V.~Andreev {\it et al.}  [H1 Collaboration],
%``Isolated electrons and muons in events with missing transverse momentum  at HERA,''
Phys.\ Lett.\ B {\bf 561} (2003) 241
[hep-ex/0301030].
%%CITATION = HEP-EX 0301030;%%

\end{thebibliography}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newpage
\begin{table}%%%%%[htb]
  \renewcommand{\arraystretch}{2.1}
  \begin{center}
    \begin{tabular}{|r||c|c||c|} 
    \multicolumn{4}{l}{\LARGE H1 Preliminary, HERA II data ${\cal L}=45$~pb$^{-1}$}\\
     \hline
     {  Electron }&{ H1 Data }&{ SM expectation }&{ SM Signal } \\ \hline
      \hline  
    {   Total                    }&{ 7}&{    4.08 $\pm$ 0.58  }&{ 2.69 $\pm$ 0.40 } \\
      \hline  
     {   $P_T^X>25$ GeV             }&{ 3}&{ 0.74  $\pm$ 0.16 }&{ 0.52 $\pm$ 0.08 } \\
     \hline  
     \multicolumn{4}{c}{} \\ [-0.7cm]
     \hline      
     {   Muon }&{ H1 Data }&{ SM expectation }&{ SM Signal } \\ \hline
      \hline  
    {    Total                    }&{ 1  }&{ 1.20 $\pm$ 0.16  }&{ 0.94 $\pm$ 0.14 } \\
      \hline  
    {    $P_T^X>25$ GeV             }&{ 0   }&{ 0.76  $\pm$ 0.11 }&{ 0.57 $\pm$ 0.09  } \\
      \hline      \multicolumn{4}{c}{} \\ [-0.7cm]
\hline
      {  Combined }&{ H1 Data }&{ SM expectation }&{ SM Signal } \\ \hline
      \hline  
     {   Total                    }&{ 8}&{ 5.28 $\pm$ 0.68  }&{ 3.63 $\pm$ 0.55 } \\
      \hline  
     {   $P_T^X>25$ GeV             }&{ 3}&{ 1.50  $\pm$ 0.24 }&{ 1.09 $\pm$ 0.17  } \\
    \hline
    \end{tabular}
  \end{center}
  \caption{The results of the search for events with isolated electrons or muons and missing transverse momentum in the HERA II data ($\cal L$=45 pb$^{-1}$):
    observed and predicted numbers of events in the electron channel, the muon channel and the sum of electron
    and muon channels. The signal component of the SM expectation, dominated by real $W$ production, is also given.
    The quoted errors contain statistical and systematic uncertainties added in quadrature.}
\label{tab:hera2details}
\end{table}


\begin{figure}[hhh] 
  \begin{center}
      \includegraphics[width=15cm]{H1prelim-04-063.ichep.fig1.eps}
  \end{center}
  \caption{The hadronic transverse momentum distribution in the electron and muon channels combined:
    data (HERA~II, ${\cal L}=45$~pb$^{-1}$) are compared to the SM
    expectation (open histogram).  The signal component of the SM
    expectation, dominated by real $W$ production, is given by the
    hatched histogram. $\rm N_{Data}$ is the total number of data
    events observed, $\rm N_{SM}$ is the total SM expectation. The
    total error on the SM expectation is given by the shaded band.}
  \label{fig:ptxhera2}
\end{figure} 



\begin{figure}[p] 
  \begin{center}
      \includegraphics[width=16cm]{H1prelim-04-063.ichep.fig2.eps}
  \end{center}
\begin{picture} (0.,0.)
\setlength{\unitlength}{1.0cm}
\put (0.2,9.05){\bf\Large Event with $e+P_T^{miss}$ in HERA II data }
\put (0.2,8.05){\bf\large $\mathbf P_T^e=47$~GeV, $\mathbf P_T^{miss}=47$~GeV}
\put (10.22,2.75){\bf\Large $e^+$} 
\end{picture}
\caption{Display of an event with an isolated electron and missing transverse momentum: a candidate for elastic $W$ production (HERA II data).}
\label{fig:elasticevent}
\end{figure} 
%
%
%
%
\begin{figure}[p] 
  \begin{center}
      \includegraphics[width=16cm]{H1prelim-04-063.ichep.fig3.eps}
  \end{center}
\begin{picture} (0.,0.)
\setlength{\unitlength}{1.0cm}
\put (0.2,9.05){\bf\Large Event with $e+P_T^{miss}$ in HERA II data }
\put (0.2,8.05){\bf\large $\mathbf P_T^e=37$~GeV, $\mathbf P_T^{miss}=44$~GeV, $\mathbf P_T^{X}=29$~GeV}
\put (10.66,2.45){\bf\Large $e^+$} 
\put (14.04,3.40){\bf\Large $X$} 
\end{picture}
\caption{Display of an event with an isolated electron, missing transverse momentum and a prominent hadronic jet (HERA II data).}
\label{fig:highptxevent}
\end{figure} 



\begin{table}
 \renewcommand{\arraystretch}{1.8}
\begin{center}
\begin{tabular}{|c|c|c|c|}     
\multicolumn{4}{l}{\LARGE H1 Preliminary }\\
\hline
   & Electron & Muon &  Combined  \\
{\large 1994-2004 $e^\pm p$} & obs./exp. & obs./exp.  & obs./exp.  \\
{\large ${\cal L}=163$~pb$^{-1}$}& {\footnotesize(signal contribution)} & {\footnotesize (signal contribution) } & {\footnotesize (signal contribution) } \\ \hline
 Full sample 
 & {  18 / 15.4$\pm$2.1 (71\%)  } 
 & {  9 / 4.1$\pm$0.7(86\%) }  
 & { 27 / 19.5$\pm$2.8(74\%) } \\ \hline
 $P_{T}^{X}>25$~GeV 
 & {  8 / 2.6$\pm$0.5(82\%) } 
 & { 6 / 2.5$\pm$0.5 (88\%)  } 
 & { 14 / 5.1$\pm$1.0 (85\%)  } \\ 
\hline
\end{tabular}
\end{center}
\caption{Summary of the H1 results of searches for events with isolated electrons or muons and missing transverse momentum in the full HERA data set
        ($\cal L$=163 pb$^{-1}$). The results are shown for the full selected sample and for the subsample at large $P_{T}^{X}>25$~GeV.
        The number of observed events is compared to the SM prediction.
        The signal component of the SM expectation, dominated by real $W$ production, is given as a percentage in parentheses. 
        The quoted errors contain statistical and systematic uncertainties added in quadrature.}
\label{tab:hera1+2isolep}
\end{table}


\begin{figure}[hhh] 
  \begin{center}
      \includegraphics[width=15cm]{H1prelim-04-063.ichep.fig4.eps}
  \end{center}
  \caption{The hadronic transverse momentum distribution in the electron and muon channels combined:
    data (full HERA data set, ${\cal L}=163$~pb$^{-1}$) arecompared to
    the SM expectation (open histogram).  The signal component of the
    SM expectation, dominated by real $W$ production, is given by the
    hatched histogram. $\rm N_{Data}$ is the total number of data
    events observed, $\rm N_{SM}$ is the total SM expectation. The
    total error on the SM expectation is given by the shaded band.}
  \label{fig:ptxhera1+2}
\end{figure} 


\clearpage

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Multi-lepton Analysis}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


Multi-lepton (electron or muon) production is measured at high
transverse momentum using the full HERA data sample. In addition to an
update of the published HERA I multi-electron and multi-muon analyses, new topologies with high $P_T$ electrons and muons are investigated here for the
first time. Yields of di-lepton and tri-lepton events are measured and
a general good agreement is found with the Standard Model predictions.
However, combining all channels, four events are observed with a scalar sum of lepton transverse momenta greater than 100 GeV, compared to a Standard Model expectation
of 0.61 $\pm$ 0.11.


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Introduction}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


Within the Standard Model (SM) the production of multi-lepton events
in $ep$ collisions mainly proceeds via photon-photon
interactions\cite{Vermaseren:1982cz}. Precise cross-section
measurements of both electron (e) and muon ($\mu$) pair production at
high transverse momentum ($P_T$) have already been performed by the H1
collaboration \cite{Aktas:2003jg,Aktas:2003sz}. At large di-electron
masses, an excess of events is observed in both the di-electron and
tri-electron samples \cite{Aktas:2003jg}.


The present analysis extends our previous measurements to the e$\mu$
and e$\mu\mu$ topologies and to a higher luminosity, combining new
HERA~II data taken in 2003--2004 (${\cal L} =$ 45 pb$^{-1}$) with the
previous HERA~I data sample from 1994--2000 (${\cal L} =$ 118
pb$^{-1}$).


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Standard Model Processes and their Simulation}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


Multi-lepton events are generated with the GRAPE ~\cite{Abe:2000cv}
program, which includes all electroweak matrix elements at tree level.
Multi-lepton production via $\gamma \gamma$, $\gamma Z$, $ZZ$
collisions, internal photon conversion and the decay of virtual or
real $Z$ bosons is considered. Initial and final state QED radiation
is included.  The complete hadronic final state is simulated via
interfaces to PYTHIA and SOPHIA~\cite{Mucke:1999yb} for the inelastic
and quasi-elastic regimes, respectively.  Consequently, GRAPE predicts
$ep \rightarrow \mu \mu X$ and $ep \rightarrow e e X$, as well as $ep
\rightarrow e \mu \mu X$ and $ep \rightarrow e e e X$ if the scattered
electron is detected. 
%Processes with an additional radiated photon are
%also modelled. 
The $ep \rightarrow \tau \tau X$ process is also simulated with GRAPE and its 
contribution was found to be negligible.

The dominant background contributions arise from neutral current
deep-inelastic scattering (DIS) events ($ep \rightarrow e X$)
\cite{Aktas:2003jg}. QED Compton scattering $ep \rightarrow e \gamma
X$ can also contribute. The DIS and elastic Compton processes are
simulated using the RAPGAP~\cite{Jung:1993gf} (for HERA I) or
DJANGO~\cite{Schuler:yg} (HERA II) and WABGEN~\cite{Berger:kp}
generators, respectively.

All generated events are passed through the full GEANT
\cite{Brun:1987ma} based simulation of the H1 apparatus, which takes
into account the running conditions of the different data taking
periods.

%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%\subsection{The H1 Detector}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%
%%%
%%%The H1 detector \cite{Abt:1996xv,Abt:h1} components relevant to the
%%%present analysis are briefly described here. Jets and electrons are
%%%measured with the Liquid Argon (LAr) calorimeter~\cite{Andrieu:1993kh}
%%%which covers the polar angle\footnote{ The origin of the H1 coordinate
%%%  system is the nominal $ep$ interaction point, with the direction of
%%%  the proton beam defining the positive $z$-axis (forward region). The
%%%  transverse momenta are measured in the $xy$ plane.  The
%%%  pseudorapidity $\eta$ is related to the polar angle $\theta$ by
%%%  $\eta = -\ln \, \tan (\theta/2)$.} range $4^\circ < \theta <
%%%154^\circ$ with full azimuthal acceptance.  Electromagnetic shower
%%%energies are measured with a precision of $\sigma (E)/E = 12\%/
%%%\sqrt{E/\mbox{GeV}} \oplus 1\%$ and hadronic energies with $\sigma
%%%(E)/E = 50\%/\sqrt{E/\mbox{GeV}} \oplus 2\%$, as measured in test
%%%beams \cite{Andrieu:1993xn}.  In the backward region, energy
%%%measurements are provided by a lead/scintillating-fibre calorimeter
%%%\cite{Appuhn:1996na} covering the range 155$^\circ$ $< \theta <$
%%%178$^\circ$.  The inner tracking system contains the central
%%%($25^\circ < \theta < 155^\circ$) and forward ($7^\circ < \theta <
%%%25^\circ$) drift chambers.  They are used to measure charged particle
%%%trajectories, to reconstruct the interaction vertex and to supplement
%%%the measurement of the hadronic energy. The LAr and inner tracking
%%%detectors are enclosed in a super-conducting magnetic coil with a
%%%strength of 1.15~T.  The iron return yoke of the coil is the outermost
%%%part of the detector and is equipped with streamer tubes forming the
%%%central muon detector ($4^\circ < \theta < 171^\circ$). It is also
%%%used to supplement the measurement of hadrons.  The luminosity
%%%measurement is based on the Bethe-Heitler process $ep \rightarrow ep
%%%\gamma$, where the photon is detected in a calorimeter located
%%%downstream of the interaction point.
%%%
%%%
%%%The main trigger for events is provided by the LAr calorimeter. The
%%%trigger efficiency is close to 100 \% for events having an
%%%electromagnetic deposit (electron) in the LAr with an energy larger
%%%than 10~GeV~\cite{Adloff:2003uh}.  The muon trigger is based on single
%%%muon signatures from the central muon detector, which are combined
%%%with signals from the central tracking detector.  The trigger
%%%efficiency for di-muon events is about $70\%$~\cite{Aktas:2003sz}.
%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Multi-lepton Event Selection}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


The electron identification procedure follows the criteria described in
\cite{Aktas:2003jg}.  Electron candidates with energies above 5 GeV
are identified in the liquid argon and backward calorimeters, in the
range $5^\circ < \theta < 175^\circ$.  Electron candidates are
required to be isolated by demanding that they are separated from
other leptons or jets by at least 0.5 units in the
pseudorapidity-azimuth ($\eta-\phi$) plane.  In addition, the total
hadronic energy within 0.75 units in $\eta-\phi$ of the electron
direction is required to be below 2.5 \% of the electron energy.  In
the region of angular overlap between the liquid argon calorimeter and
the central drift chambers ($20^\circ < \theta < 150^\circ$), the
calorimetric electron identification is complemented by tracking
conditions.  In this region it is required that a high quality track
geometrically matches the electromagnetic cluster within a distance of
closest approach to the cluster centre-of-gravity of $12$~cm.  No
other good track is allowed within  $0.5$ units in $\eta-\phi$ around the electron direction.  In the central region ($20^\circ < \theta < 150^\circ$)
the distance between the first measured point in the central drift
chambers and the beam axis is required to be below $30$~cm in order to
reject photons that convert late in the central tracker material. In
addition, in this central region, the transverse momentum measured
from the associated track $P_T^{e_{tk}}$ is required to match the
calorimetric measurement $P_T^e$ with $1/P_T^{e_{tk}} - 1/P_T^e <
0.02$~GeV$^{-1}$. This criteria is relaxed to 0.04 for the new HERA II
data 
%to match the changes of calibrations.  
since a final calibration and alignment have not been performed.
Due to the higher material
density in the forward region ($5^\circ < \theta < 20^\circ$) the
electrons are more likely to shower and therefore no track conditions
are required. The same applies in the backward region ($150^\circ <
\theta < 175^\circ$). The electron energy threshold is raised
to 10~GeV in the forward region.


Muon candidates are identified with a $P_T$ $>$ 2 GeV in the range
$20^\circ < \theta < 160^\circ$, with a similar procedure to that described
in \cite{Aktas:2003sz}.  The muon identification is based on a track
in the forward muon system or the inner tracking systems associated
with a track segment or an energy deposit in the instrumented
iron~\cite{Andreev:2003pm}. The momentum of the muons detected in the forward muon detector is measured from the curvature in a toroidal magnetic field. The muon momentum is measured in the central region from the track curvature in the solenoidal magnetic field. 
A muon candidate should have no more than 5~GeV deposited in the LAr calorimeter in a
cylinder of radius 25 cm and 50 cm in the electromagnetic and hadronic
sections of the LAr calorimeter, respectively, centred on the muon track direction.
In di-muon events, the requirement of an opening angle between the two
muons smaller than $160^\circ$ discards cosmic rays background. Beam halo events are rejected by requiring that the muons
originate from the event vertex.  Finally, misidentified hadrons are
strongly suppressed by requiring that the muon candidate is separated
from the closest jet and from any good quality track by 1 unit in the
$\eta-\phi$ plane.  Muon canditates are also required to be isolated
from other leptons by at least 0.5 units in the $\eta-\phi$ plane.



The final multi-lepton selection requires that there be at least two
central ($20^\circ < \theta < 150^\circ$) lepton (electron or muon)
candidates, of which one must have $P_T^l > 10$ GeV and the other
$P_T^{l} > 5$ GeV. Additional lepton candidates are identified in the
detector according to the above criteria without any additional
explicit $P_T$ or angular requirements. The lepton candidates are
ordered according to decreasing $P_T$, $P_T^{l_i} > P_T^{l_{i+1}}$.
The selected events are classified as belonging to the two lepton sample if only two
central leptons are identified, and to the  three lepton sample if exactly one
additional lepton candidate is identified. According to the flavours of the
identified leptons, these samples are further classified into ee,
$\mu\mu$, e$\mu$, eee and e$\mu\mu$.


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%\subsection{Systematic Uncertainties}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%
%%%
%%%The electromagnetic energy scale uncertainty varies between 0.7 \% and
%%%3 \% depending on the particle's impact on the LAr calorimeter
%%%surface~\cite{Adloff:2003uh} for HERA I data.  For new HERA II data
%%%this uncertainty is determined to be 1.5 \% and 3 \% in the central
%%%($z\,<\,100$~cm) and forward regions ($z\,>\,100$~cm), respectively.
%%%The angular uncertainty of electromagnetic clusters are 3 and 5 mrad
%%%in HERA I and HERA II data, respectively.  The identification of
%%%central electrons depends on the tracking efficiency which is known
%%%with a precision ranging from 3 \% for polar angles around 90$^\circ$
%%%to 15 \% at the forward edge of the angular acceptance of the central
%%%tracker ($\theta =$ 20 $^\circ$) \cite{Aktas:2003jg}.  The uncertainty
%%%on the transverse momentum measurement for muons is 5~\%. The
%%%uncertainty on the muon polar angle is $3$~mrad.  The muon
%%%identification efficiency is known with a precision of 5\%.  The
%%%hadronic energy scale of the LAr calorimeter is known to 2 \%.  The
%%%uncertainty on the trigger efficiency is estimated to be 5 \%. It is
%%%10 \% for di-muon only events in HERA II data.  The uncertainty in the
%%%integrated luminosity results in an overall normalisation error of
%%%1.5~\% for HERA I data and 3 \% for HERA II data.  The theoretical
%%%uncertainty on the pair production process cross section, calculated
%%%with GRAPE, is 3~\% \cite{Aktas:2003jg}. The uncertainty on the
%%%Compton and DIS background contributions is 20~\%.
%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Results}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


The event yields observed in all channels are summarised in table
\ref{tab:mlepyields}. The observed event yields are in good agreement
with SM expectations, which are dominated by pair production. 
%One
%e$\mu$ data event with an additional radiated low $P_T$ photon enters
%in the ee$\mu$ class for 0.92 $\pm$ 0.56 expected. 
In addition to the events in the classes listed, one event is classified as $ee\mu$. Upon closer inspection, this event is consistent with an $e\mu$ topology with an additional radiated low $P_T$ photon. 0.92 $\pm$ 0.56 such events are expected.
One event is
identified as a four lepton event, compared to a SM expectation of
0.56 $\pm$ 0.14, which is domintated by three lepton events containing
a radiated photon. The data event is consistent with this explanation. Such
events enter the sample because no tracks are required to be
associated with the electron cluster at the  most backward angles ($\theta
>$ 150$^\circ$). No event with three muons is observed.

The distributions of the invariant mass of the two leptons in the
di-lepton event classes are presented in figure \ref{fig:M2lep}. The
agreement with the SM prediction is good, except in the ee invariant
mass distribution for $M_{12}$~$>$~100~GeV, where the three events
already described in \cite{Aktas:2003jg} are present, compared to an
expectation of 0.44 $\pm$ 0.10 (see table \ref{tab:mlepyieldsM100}).
The distribution of the invariant mass $M_{12}$ of the two highest
$P_T$ electrons for the eee sample is shown in figure \ref{figM3lep},
as well as the invariant mass combinations of the electron with the higest
$P_T$ muon ($M_{e\mu}$) and of both muons ($M_{\mu\mu}$) in the
e$\mu\mu$ sample.  The event yields in the tails of invariant mass
distributions ($M >$ 100 GeV) of all channels are summarised in table
\ref{tab:mlepyieldsM100}.  The three "ee" events with $M_{12} >$ 100 GeV
are observed in HERA I data and are discussed in \cite{Aktas:2003jg},
as well as the three "eee" with $M_{12} >$ 100 GeV. Two 
e$\mu\mu$ events are observed in the new HERA II data, of which one has a high muon-muon  
and the other a high electron-muon invariant mass. The e$\mu\mu$ event
with the high $M_{e\mu}$ invariant mass is shown in figure
\ref{fig:emumu_evtdisp}.


The distributions of the scalar sum of $P_T$ of all identified leptons
for the di and tri--lepton samples and the combination of both is shown in
figure \ref{fig:SumEt_All_lep}. For $\sum P_T >$ 100 GeV 4 events are
observed in all channels combined while 0.61 $\pm$ 0.11 are expected. These four data events
correspond to the three ee events observed in HERA I data
\cite{Aktas:2003jg} and one new e$\mu\mu$ event observed in HERA II
data.


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Summary}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


The production of multi-leptons (electrons and muons) at high transverse momenta in $ep$ scattering has been studied.
The measurement extends previous analyses
\cite{Aktas:2003jg,Aktas:2003sz} by including the new HERA II data corresponding
to a luminosity of 45 pb$^-1$.  The event yields in the di-lepton (ee,
$\mu\mu$ and e$\mu$) and tri-lepton (eee and e$\mu\mu$) sub-samples
are in good agreement with the SM predictions. The distribution of the
scalar sum of transverse momenta of the leptons is studied for the
combination of all di- and tri-lepton sub-samples. For $\sum P_T >$
100 GeV 4 events are observed and 0.61 $\pm$ 0.11 are expected.


\newpage

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{thebibliography}{99}

%\cite{Vermaseren:1982cz}
\bibitem{Vermaseren:1982cz}
J.~A.~M.~Vermaseren,
%``Two Photon Processes At Very High-Energies,''
Nucl.\ Phys.\ B {\bf 229} (1983) 347.
%%CITATION = NUPHA,B229,347;%%

%\cite{Aktas:2003jg}
\bibitem{Aktas:2003jg}
A.~Aktas {\it et al.}  [H1 Collaboration],
%``Multi-electron production at high transverse momenta in e p collisions at HERA,''
Eur.\ Phys.\ J.\ C {\bf 31} (2003) 17
[hep-ex/0307015].
%%CITATION = HEP-EX 0307015;%%


%\cite{Aktas:2003sz}
\bibitem{Aktas:2003sz}
  A.~Aktas {\it et al.}  [H1 Collaboration],
%``Muon pair production in e p collisions at HERA,''
Phys.\ Lett.\ B {\bf 583} (2004) 28
[hep-ex/0311015].
%%CITATION = HEP-EX 0311015;%%


%\cite{Abe:2000cv}
\bibitem{Abe:2000cv}
T.~Abe,
%``GRAPE-Dilepton (Version 1.1): A generator for dilepton production in e  p collisions,''
Comput.\ Phys.\ Commun.\  {\bf 136} (2001) 126
[hep-ph/0012029].
%%CITATION = HEP-PH 0012029;%%

%\cite{Mucke:1999yb}
\bibitem{Mucke:1999yb}
A.~Mucke, R.~Engel, J.~P.~Rachen, R.~J.~Protheroe and T.~Stanev,
%``Monte Carlo simulations of photohadronic processes in astrophysics,''
Comput.\ Phys.\ Commun.\  {\bf 124} (2000) 290
[astro-ph/9903478].
%%CITATION = ASTRO-PH 9903478;%%

%\cite{Jung:1993gf}
\bibitem{Jung:1993gf}
H.~Jung,
%``Hard diffractive scattering in high-energy e p collisions and the Monte Carlo generation RAPGAP,''
Comput.\ Phys.\ Commun.\  {\bf 86} (1995) 147.
%%CITATION = CPHCB,86,147;%%

%\cite{Schuler:yg}
\bibitem{Schuler:yg}
G.~A.~Schuler and H.~Spiesberger,
``Django: The Interface for The Event Generators Heracles and Lepto.''
%href{http://www.slac.stanford.edu/spires/find/hep/www?irn=2712555}{SPIRES entry}


%\cite{Berger:kp}
\bibitem{Berger:kp}
C.~Berger and P.~Kandel,
%``A New Generator For Wide Angle Bremsstrahlung,''
%\href{http://www.slac.stanford.edu/spires/find/hep/www?irn=4270703}{SPIRES entry}
Prepared for Workshop on Monte Carlo Generators for HERA Physics Hamburg, Germany, 27-30 Apr 1998.

%\cite{Brun:1987ma}
\bibitem{Brun:1987ma}
R.~Brun, F.~Bruyant, M.~Maire, A.~C.~McPherson and P.~Zanarini,
%``Geant3,''
CERN-DD/EE/84-1.


%\cite{Andreev:2003pm}
\bibitem{Andreev:2003pm}
V.~Andreev {\it et al.}  [H1 Collaboration],
%``Isolated electrons and muons in events with missing transverse momentum  at HERA,''
Phys.\ Lett.\ B {\bf 561} (2003) 241
[hep-ex/0301030].
%%CITATION = HEP-EX 0301030;%%


%\cite{Adloff:2003uh}
%\bibitem{Adloff:2003uh}
%C.~Adloff {\it et al.}  [H1 Collaboration],
 %``Measurement and QCD analysis of neutral and charged current cross  sections
%at HERA,''
%Eur.\ Phys.\ J.\ C {\bf 30}, 1 (2003)
%[hep-ex/0304003].
%%CITATION = HEP-EX 0304003;%%

\end{thebibliography}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\newpage

\begin{table}[]
\begin{center}
\begin{tabular}{|c|c|c|c|c|}
\multicolumn{5}{c}{H1 Preliminary 163 pb$^{-1}$ (HERA I+II)}\\
\hline
Selection & Data & SM & Pair Production (GRAPE) & NC-DIS + Compton \\
\hline                                        
ee & 147 & 149.8 $\pm$ 24.8 & 125.5 $\pm$ 13.0  & 24.3 $\pm$ 18.7 \\ 
$\mu\mu$ & 66   & 63.7 $\pm$ 12.7 & 63.7 $\pm$ 12.3 &  --- \\ 
e$\mu$ & 86   & 78.4 $\pm$ 12.0 & 46.4 $\pm$ 3.8 & 31.9 $\pm$ 9.9 \\ 
\hline
eee & 24 & 30.4 $\pm$ 3.9 & 30.41 $\pm$ 3.9 &  0.04 $\pm$ 0.06  \\    
e$\mu\mu$ & 41 & 39.5 $\pm$ 6.5  & 39.5 $\pm$ 6.5  &  ---   \\    
\hline
\end{tabular}
\end{center}
\caption{Observed and predicted event yields for the ee, $\mu\mu$, e$\mu$, eee and e$\mu\mu$ event classes.
  The analysed data sample corresponds to an integrated luminosity of 163 pb$^{-1}$  of HERA I and II data.
  The errors on the prediction include model uncertainties and experimental systematic errors added in quadrature.}
\label{tab:mlepyields}
\end{table}


\begin{table}[]
\begin{center}
\begin{tabular}{|c|c|c|c|c|}
\multicolumn{5}{c}{H1 Preliminary 163 pb$^{-1}$ (HERA I+II)}\\
\hline
Selection & Data & SM & Pair Production (GRAPE) & NC-DIS + Compton \\
\hline                                        
ee $M_{12}>$100 GeV & 3 & 0.44 $\pm$ 0.10 & 0.32 $\pm$ 0.10  & 0.12 $\pm$ 0.03 \\ 
$\mu\mu$ $M_{\mu\mu}>$100 GeV & 0  & 0.04 $\pm$ 0.02 & 0.04 $\pm$ 0.02 &  --- \\ 
e$\mu$ $M_{e\mu}>$100 GeV & 0   & 0.31 $\pm$ 0.03 & 0.31 $\pm$ 0.03 & --- \\ 
\hline
eee $M_{12}>$100 GeV  & 3 & 0.31 $\pm$ 0.08 & 0.31 $\pm$ 0.08 &  ---   \\    
e$\mu\mu$ $M_{e\mu}>$100 GeV  & 1 & 0.04 $\pm$ 0.01 & 0.04 $\pm$ 0.01 &  ---   \\
e$\mu\mu$ $M_{\mu\mu}>$100 GeV  & 1 & 0.02 $\pm$ 0.01  & 0.02 $\pm$ 0.01 &  ---   \\    
\hline
\end{tabular}
\end{center}
\caption{Yields for high di-lepton masses, $M >$ 100 GeV in all analysed samples. For the eee sample, the mass of the two highest $P_T$ electrons is shown.
  The analysed data sample corresponds to an integrated luminosity of 163 pb$^{-1}$  of HERA I and II data.
  The errors on the prediction include model uncertainties and experimental systematic errors added in quadrature.}
\label{tab:mlepyieldsM100}
\end{table}



\begin{figure}[htbp] 
  \begin{center}
    \includegraphics[width=16cm]{H1prelim-04-063.ichep.fig5.eps}
  \end{center}
  \caption{Distibution of the invariant mass $M$ of the two leptons compared to
    expectations for events classified as ee, $\mu\mu$ and e$\mu$.
    The analysed data sample corresponds to an integrated luminosity
    of 163 pb$^{-1}$ of HERA I and II data.}
\label{fig:M2lep}  
\end{figure} 

\begin{figure}[htbp] 
  \begin{center}
  \includegraphics[width=16cm]{H1prelim-04-063.ichep.fig6.eps}
  \end{center}
  \caption{Distribution of the invariant mass $M_{12}$ of the two highest $P_T$ electrons for the eee sample (top left).
    For the e$\mu\mu$ sample, invariant mass combinations of the
    electron with the higest $P_T$ muon ($M_{e\mu}$, bottom left) and of both muons
    ($M_{\mu\mu}$, top right) are presented. The analysed data sample corresponds
    to an integrated luminosity of 163 pb$^{-1}$ of HERA I and II
    data.}
\label{figM3lep}  
\end{figure} 


\begin{figure}[htbp] 
  \begin{center}
  \includegraphics[width=20cm,angle=90]{H1prelim-04-063.ichep.fig7.eps}
  \end{center}
  \caption{Display of the e$\mu\mu$ event with a scalar sum of transverse momenta of the leptons $\sum P_T >$ 100 GeV, observed in the new HERA II data.}
\label{fig:emumu_evtdisp}
\end{figure} 


\begin{figure}[htbp] 
  \begin{center}
  \includegraphics[width=16cm]{H1prelim-04-063.ichep.fig8.eps}
  \end{center}
  \caption{Distributions of the scalar sum of the transverse momenta of leptons compared to expectations in all two-lepton and three-lepton event classes
    and for the combination of both samples. The analysed data sample
    corresponds to an integrated luminosity of 163 pb$^{-1}$ of HERA I
    and II data.}
\label{fig:SumEt_All_lep}
\end{figure}

\clearpage

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{General Search Analysis}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Introduction}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

The general search for new physics involving high $P_T$ particle production consists of a comprehensive
and generic search for deviations from the SM prediction using all high $P_T$ final state configurations
involving electrons ($e$), muons ($\mu$), jets ($j$), photons
($\gamma$) or neutrinos ($\nu$). The
analysis covers phase space regions where the SM prediction is
sufficiently precise to detect anomalies and does not rely on
assumptions concerning the characteristics of any SM extension. Such a
model-independent approach may discover unexpected manifestations of
new physics.

Results obtained with HERA~I data (${\cal L} =$ 115
pb$^{-1}$) have previously been published~\cite{prelimgen}. The results from the HERA~II data sample (${\cal L} =$ 45
pb$^{-1}$) are presented here.

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Analysis of HERA~II Data}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

As in the HERA~I analysis, all final states containing at least two
objects ($e$, $\mu$, $j$, $\gamma$, $\nu$) with $P_T >$~$20$~GeV in
the polar angle range $10^\circ < \theta < 140^\circ$ are
investigated. All selected events are classified into exclusive event
classes according to the number and types of objects detected in the
final state, for example $ej$, $\mu j \nu$, $jjjj$.

Figure~\ref{fig:Nb_tot_gen} shows the yields obtained in the various
event classes. Good agreement with the SM expectation is observed in
all event classes, indicating the good understanding of the SM predictions for HERA and of the H1 detector in the HERA II configuration. The majority of the events observed in the dedicated 
multi--lepton and isolated lepton analyses are also selected in this
general analysis.

% The general search at high $P_T$ gives a global view of the physics
% rates as a function of the final state topology. The future increase
% in luminosity at HERA will benefit all searches for new phenomena at
% high transverse momentum.


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{thebibliography}{99}

\bibitem{prelimgen}
H1Colaboration, ``General search for new phenomena in $ep$ scattering at HERA''\\
DESY 04-140, submitted to Phys.Lett. [h1p-ex 0408044]
%http://www-h1.desy.de/h1/www/publications/htmlsplit/H1prelim-03-063.long.html

\end{thebibliography}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


\begin{figure}[htbp] 
  \begin{center}
  \includegraphics[width=19cm,angle=-90]{H1prelim-04-063.ichep.fig9.eps}
  \end{center}
  \caption{Results of the H1 general search using the new HERA II data (2003-2004). The analysed data sample corresponds to an integrated luminosity of 45 pb$^{-1}$.
    The errors on the prediction include model uncertainties and experimental errors added in quadrature. 
% The event classes with more than 3 jets are placed in a grey area since their SM prediction suffers from larger theoretical uncertainties.
}
\label{fig:Nb_tot_gen}
\end{figure}

\end{document}

