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\begin{titlepage}

\begin{center}
%%%%%{\it {\large version 0.1 of \today}} \\[.3em]
\begin{small}
\begin{tabular}{llrr}
Submitted to & & &
\epsfig{file=H1logo_bw_small.epsi,width=2.cm} \\[.2em]
\hline
\multicolumn{4}{l}{{\bf
                XXII International Symposium on Lepton-Photon Interactions at High Energy},
                June~30,~2005,~Uppsala} \\
                 & Abstract:        & {\bf 421}    &\\
                 & Session: & {\bf Electroweak physics and beyond}   &\\ \hline
 & \multicolumn{3}{r}{\footnotesize {\it
    www-h1.desy.de/h1/www/publications/conf/conf\_list.html}} \\[.2em]
\end{tabular}
\end{small}
\end{center}

% \noindent
% Date:               \\
% Version:            \\
% Editors:            \\
% Referees:           \\
% Comments by         
%\begin{flushright}
%H1prelim-04-063\\
%July 28, 2004
%\end{flushright}
\vspace{2cm}

\begin{center}
\begin{Large}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf \boldmath Search for Events with Isolated Leptons And Missing Transverse Momentum at HERA}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\vspace{2cm}

H1 Collaboration

\end{Large}
\end{center}

\vspace{1cm}

\begin{abstract}
\noindent


The search for isolated leptons (electrons or muons) and missing
transverse momentum is performed in $e^\pm p$ collisions with the H1
detector at HERA in the period 1994--2005. The analysed data sample
corresponds to an integrated luminosity of 192 pb$^{-1}$, which
includes 53 pb$^{-1}$ of $e^{+}p$ data and 21 pb$^{-1}$ of $e^{-}p$
data recently taken in the new HERA~II phase.

Nine events in the electron channel and one event in the muon channel
are observed in the 2003-04 HERA II $e^{+}p$ data sample, compared to
Standard Model (SM) predictions of 4.8~$\pm$~0.8 and 1.3~$\pm$~0.2
repectively. Five events in the electron channel and no events in the
muon channel are observed in the new 2004-05 HERA II $e^{-}p$ data
sample compared to SM predictions of 2.2~$\pm$~0.3 and 0.6~$\pm$~0.1
respectively.

In the combined electron and muon channel of the complete HERA data
set 34 events are observed, compared to a SM prediction of
23.3~$\pm$~3.2. At large hadronic transverse momentum 17 events are
observed, compared to a SM prediction of 5.8~$\pm$~1.1. Events with
large transverse momentum are observed in both the HERA I and II
samples. Further details of the analysis may be found in
\cite{isolAndreev:2003pm}.


\end{abstract}


\vspace{1.5cm}

\end{titlepage}

\newpage

\pagestyle{plain}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{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 $e^{\pm}p$ data sample accumulated at
HERA~II from October 2003 to April 2005, corresponding to an
integrated luminosity of 74~pb$^{-1}$.


Standard Model (SM) ``signal'' processes are defined as those events
which contain a prominent 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.


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. 


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section {Event Selection}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


The HERA~II 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 $P_{T}^{l}$, be observed in the central region of the
detector, defined by the polar angle $\theta_{l}$ and 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 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 then 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}

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


The analysis of the HERA II $e^{+}p$ data yields nine electron events
and one muon event for an expectation of 4.8~$\pm$~0.8 and
1.3~$\pm$~0.2 respectively. The SM prediction is dominated by signal
processes, where the majority is due to real $W$
production. Table~\ref{tab:hera2e+details} summarises the results
obtained from the analysis of the HERA II $e^{+}p$ data sample. The
$P_{T}^{X}$ distribution in the electron and muon channel for this
data sample is displayed in figure \ref{fig:ptxhera2e+}. In the
electron channel an 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 two events and positive in
%the other seven events, including the candidates at large
%$P_T^X>25~\gev$.
The observation of one muon event in the data is in agreement with the
SM event yield.
%The muon charge is measured to be 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 the neutral current
%DIS which represent about a half of the background in the electron
%channel and which produces mainly positively charged isolated lepton
%candidates.

Figure \ref{fig:elasticevent} displays one of the HERA~II $e^{+}p$
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 $e^{+}p$ electron event with high
$P_{T}^{X}$. The same features are visible as 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 analysis of the HERA II $e^{-}p$ data yields five electron events
and no muon events for an expectation of 2.2~$\pm$~0.3 and
0.6~$\pm$~0.1 respectively. As for the HERA II $e^{+}p$ data the SM
prediction is dominated by signal processes, where the majority is due
to real $W$ production. However, as expected from the SM, the charged
current background is observed to be
higher. Table~\ref{tab:hera2e-details} summarises the results obtained
from the analysis of the HERA II $e^{-}p$ data sample. The $P_{T}^{X}$
distribution in the electron and muon channel for this data sample is
displayed in figure \ref{fig:ptxhera2e-}. The data excess observed at
high $P_{T}^{X}$ in the HERA II $e^{+}p$ electron channel is not
present in the $e^{-}p$ data, although a similar level of agreement is
seen across the whole phase space.
%The isolated electron charge is negative in two events, positive in
%two events and unmeasured in the remaining event.
The observation of no muon events in the data is in agreement with the
SM event yield.

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section {Summary}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%% from Proba_Fluctu.x: PtX > 25: 17 / 5.8 +/- 1.1 = 0.0005 (corresponds to 3.29512 sigma)


%The increase of the data sample with respect to the published HERA I
%analysis is at the present time about 63\%. 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 192~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, 34 events are observed in the data sample, for an
expectation from SM processes of 23.3~$\pm$~3.2. At large hadronic
momentum $P_T^X>25~\gev$, 17 events are observed in the data for an
expectation of 5.8~$\pm$~1.1. The probability for the SM expectation
to fluctuate to the observed number of events or more is 0.0005 for
$P_{T}^{X} > 25$ GeV, compared to 0.0015 for the HERA I data. The
$P_{T}^{X}$ distribution in the electron and muon channels combined
for the HERA~I and HERA~II searches is displayed in figure
\ref{fig:ptxhera1+2}.


The continued 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 hopefully 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}
  \renewcommand{\arraystretch}{2.1}
  \begin{center}
    \begin{tabular}{|r||c|c||c|} 
    \multicolumn{4}{l}{\LARGE H1 Preliminary, HERA II e$^{+}$p data ${\cal L}=53$~pb$^{-1}$}\\
     \hline
     { Electron }&
     { H1 Data }&
     { SM Expectation }&
     { SM Signal }\\
     \hline
     \hline  
     { Total }&\
     { 9}&
     { 4.75 $\pm$ 0.76 }&
     { 3.11 $\pm$ 0.47 } \\
     \hline  
     { $P_{T}^{X}>$25 GeV }&
     { 5}&
     { 0.84 $\pm$ 0.19 }&
     { 0.58 $\pm$ 0.09 } \\
     \hline  
     \multicolumn{4}{c}{} \\ [-0.7cm]
     \hline      
     { Muon }&
     { H1 Data }&
     { SM Expectation }&
     { SM Signal } \\
     \hline
     \hline  
     { Total }&
     { 1 }&
     { 1.33 $\pm$ 0.19 }&
     { 1.03 $\pm$ 0.16 } \\
     \hline  
     { $P_T^X>$25 GeV }&
     { 0 }&
     { 0.85 $\pm$ 0.13 }&
     { 0.63 $\pm$ 0.10  } \\
     \hline
     \multicolumn{4}{c}{} \\ [-0.7cm] 
     \hline
     { Combined }&
     { H1 Data }&
     { SM Expectation }&
     { SM Signal } \\
     \hline
     \hline  
     { Total }&
     { 10 }&
     { 6.08 $\pm$ 0.92 }&
     { 4.14 $\pm$ 0.62 } \\
     \hline  
     { $P_T^X>$25 GeV }&
     { 5 }&
     { 1.69 $\pm$ 0.28 }&
     { 1.21 $\pm$ 0.18 } \\
    \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 $e^{+}p$ data ($\cal L$=53 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:hera2e+details}
\end{table}

\newpage

\begin{figure}[hhh] 
  \begin{center}
      \includegraphics[width=15cm]{H1prelim-05-164.fig1.eps}
  \end{center}
  \caption{The hadronic transverse momentum distribution in the electron and muon channels combined:
    data (HERA~II $e^{+}p$, ${\cal L}=53$~pb$^{-1}$) is 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:ptxhera2e+}
\end{figure} 

\begin{figure}[p] 
  \begin{center}
      \includegraphics[width=16cm]{H1prelim-05-164.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 $e^{+}p$ 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.}
\label{fig:elasticevent}
\end{figure} 
%
%
%
%
\begin{figure}[p] 
  \begin{center}
      \includegraphics[width=16cm]{H1prelim-05-164.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 $e^{+}p$ 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.}
\label{fig:highptxevent}
\end{figure} 




\begin{table}[htb]
  \renewcommand{\arraystretch}{2.1}
  \begin{center}
    \begin{tabular}{|r||c|c||c|c|}
    \multicolumn{5}{c}{\LARGE H1 Preliminary, HERA II e$^{-}$p data ${\cal L}=21$~pb$^{-1}$}\\
     \hline
      { Electron }&
      { H1 Data }&
      { SM Expectation }&
      { SM Signal }&
      { SM Background } \\
      \hline
      \hline  
      { Total }&
      { 5}&
      { 2.15 $\pm$ 0.33}&
      { 1.36 $\pm$ 0.22}&
      { 0.79 $\pm$ 0.25} \\
      \hline
      { $P_{T}^{X}>$25 GeV}&
      { 1}&
      { 0.30 $\pm$ 0.05}&
      { 0.23 $\pm$ 0.04}&
      { 0.07 $\pm$ 0.03} \\
      \hline
      \multicolumn{4}{c}{} \\ [-0.7cm]
      \hline
      { Muon }&
      { H1 Data }&
      { SM Expectation }&
      { SM Signal }&
      { SM Background } \\
      \hline
      \hline  
      { Total }&
      { 0}&
      { 0.59 $\pm$ 0.09}&
      { 0.45 $\pm$ 0.07}&
      { 0.14 $\pm$ 0.05} \\
      \hline  
      { $P_{T}^{X}>$25 GeV}&
      { 0}&
      { 0.36 $\pm$ 0.06}&
      { 0.26 $\pm$ 0.04}&
      { 0.10 $\pm$ 0.04} \\
      \hline
      \multicolumn{4}{c}{} \\ [-0.7cm]
      \hline
      { Combined }&
      { H1 Data }&
      { SM Expectation }&
      { SM Signal }&
      { SM Background } \\
      \hline
      \hline  
      { Total }&
      { 5}&
      { 2.75 $\pm$ 0.40}&
      { 1.81 $\pm$ 0.27}&
      { 0.94 $\pm$ 0.30} \\
      \hline  
      { $P_{T}^{X}>$25 GeV }&
      { 1}&
      { 0.66 $\pm$ 0.10}&
      { 0.50 $\pm$ 0.08}&
      { 0.17 $\pm$ 0.06} \\
      \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 $e^{-}p$ data ($\cal L$=21 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 (dominated by real $W$ production) and background components of the SM expectation are also given.
    The quoted errors contain statistical and systematic uncertainties added in quadrature.}
\label{tab:hera2e-details}
\end{table}

\newpage

\begin{figure}[hhh] 
  \begin{center}
      \includegraphics[width=15cm]{H1prelim-05-164.fig4.eps}
  \end{center}
  \caption{The hadronic transverse momentum distribution in the electron and muon channels combined:
    data (HERA~II $e^{-}p$, ${\cal L}=21$~pb$^{-1}$) is 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:ptxhera2e-}
\end{figure} 



\begin{table}
 \renewcommand{\arraystretch}{1.6}
    \begin{center}
      \begin{tabular}{|c|c|c|c|c|}
      \hline
      \multicolumn{2}{|c|}{\large H1 Preliminary} &
      Electron &
      Muon &
      Combined \\
      \multicolumn{2}{|c|}{\large 1994-2005 $e^\pm p$} &
      obs./exp. &
      obs./exp. &
      obs./exp. \\
      \multicolumn{2}{|c|}{\large 192 pb$^{-1}$} &
      {\footnotesize (Signal contribution)} &
      {\footnotesize (Signal contribution)} &
      {\footnotesize (Signal contribution)} \\
      \hline
      \multicolumn{2}{|c|}{Total} &
      25 / 18.4 $\pm$ 2.5 (70\%)&
       9 /  4.9 $\pm$ 0.8 (85\%)&
      34 / 23.3 $\pm$ 3.2 (73\%)\\
      \cline{1-5}
      \multicolumn{2}{|c|}{$P_{T}^{X}~>25$~GeV} &
      11 / 2.9 $\pm$ 0.6 (81\%)&
       6 / 2.9 $\pm$ 0.6 (86\%)& 
      17 / 5.8 $\pm$ 1.1 (84\%)\\
      \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
        ($\cal L$=192 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-05-164.fig5.eps}
  \end{center}
  \caption{The hadronic transverse momentum distribution in the electron and muon channels combined:
    data (full HERA data set, ${\cal L}=192$~pb$^{-1}$) is 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:ptxhera1+2}
\end{figure} 







\end{document}

