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% The rest
\newcommand{\pom}{{I\!\!P}}
\newcommand{\reg}{{I\!\!R}}
\newcommand{\slowpi}{\pi_{\mathit{slow}}}
%\newcommand{\gevsq}{\mathrm{GeV}^2}
\newcommand{\fiidiii}{F_2^{D(3)}}
\newcommand{\fiidiiiarg}{\fiidiii\,(\beta,\,Q^2,\,x)}
\newcommand{\n}{1.19\pm 0.06 (stat.) \pm0.07 (syst.)}
\newcommand{\nz}{1.30\pm 0.08 (stat.)^{+0.08}_{-0.14} (syst.)}
\newcommand{\fiidiiiful}{F_2^{D(4)}\,(\beta,\,Q^2,\,x,\,t)}
\newcommand{\fiipom}{\tilde F_2^D}
\newcommand{\ALPHA}{1.10\pm0.03 (stat.) \pm0.04 (syst.)}
\newcommand{\ALPHAZ}{1.15\pm0.04 (stat.)^{+0.04}_{-0.07} (syst.)}
\newcommand{\fiipomarg}{\fiipom\,(\beta,\,Q^2)}
\newcommand{\pomflux}{f_{\pom / p}}
\newcommand{\nxpom}{1.19\pm 0.06 (stat.) \pm0.07 (syst.)}
\newcommand {\gapprox}
   {\raisebox{-0.7ex}{$\stackrel {\textstyle>}{\sim}$}}
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   {\raisebox{-0.7ex}{$\stackrel {\textstyle<}{\sim}$}}
\def\gsim{\,\lower.25ex\hbox{$\scriptstyle\sim$}\kern-1.30ex%
\raise 0.55ex\hbox{$\scriptstyle >$}\,}
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\newcommand{\tsnm}{$\tilde{\sigma}_{NC}(e^-)$}
\newcommand{\tsnp}{$\tilde{\sigma}_{NC}(e^+)$}
\newcommand{\st}{$\star$}
\newcommand{\sst}{$\star \star$}
\newcommand{\ssst}{$\star \star \star$}
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%\newcommand{\th}{\hat{t}}
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\newcommand{\sigrd}{\sigma_r^D}
\newcommand{\sigrdthree}{\sigma_r^{D(3)}}
\newcommand{\sigrdarg}{\sigma_r^{D(3)}(x,Q^2,\xpom)}


\begin{titlepage}

%\noindent
%\begin{tabular}{p{1.5cm}l}
%Date:  &      15/04/2003, 19:00 \\
%Version: &    0.5          \\
%Editors: & P.~Laycock (\verb=laycock@mail.desy.de=) \\
%         & P.~Newman (\verb=newmanpr@mail.desy.de=) \\
%         & F.-P.~Schilling (\verb=fpschill@mail.desy.de=) \\
%Referees: & M.~Kapishin (\verb=kapishin@mail.desy.de=) \\
%          & Z.~Zhang (\verb=zhang@mail.desy.de=) \\
%\end{tabular}
%Comments by  Deadline       

%\vspace{2cm}

\vspace{1cm}
\begin{center}
{\large \bf H1prelim-03-011 } 
\end{center}
\vspace{1cm}


\begin{center}
\begin{Large}

{\bf  Measurement of the Inclusive Diffractive \\
Cross  Section $\mathbf{\sigrdthree}$ at high $\mathbf{Q^2}$
}

\vspace{2cm}

H1 Collaboration

\end{Large}
\end{center}

\vspace{2cm}

\begin{abstract}
A new measurement of the diffractive reduced cross section
$\sigrdarg$ at high $Q^2$, describing the deep-inelastic
scattering process $ep\rightarrow eXY$ in which the system $Y$ is a proton or a
low-mass proton excitation carrying a fraction $1-\xpom$ of the beam
longitudinal momentum, is presented in the kinematic range $Q^2 > 130
\rm\ GeV^2$, $0.1 < \beta=x/\xpom < 0.9$ and $0.005 < \xpom < 0.05$. 
The measurement is based on $e^+p$ data taken in the years 1999 and 2000
with the H1 detector, corresponding to an integrated luminosity of
$65\rm\ pb^{-1}$.
The data are
used together with other recent measurements at small and intermediate
$Q^2$ values to test various factorisation properties and models of
diffractive DIS. In particular, good agreement is found at high $Q^2$
with the extrapolated NLO QCD fit to lower $Q^2$ $\sigrd$ data.
%The xpom dependence of F_2^D(3) is interpreted in
%terms of the effective pomeron intercept alpha_pom(0)(Q^2). 
%The variation of $\sigma_r^D$ with $\beta$ and $Q^2$ at fixed values 
%of $\xpom$ is compared
%with the (x,Q^2) dependence of F_2(x,Q^2). Diffractive parton
%distributions are extracted from fits to the data based on the NLO
%DGLAP evolution equations and QCD hard scattering factorisation for
%semi-inclusive processes.
\end{abstract}

\vspace{1.5cm}

\begin{center}
Prepared for DIS 2003, St. Petersburg
\end{center}

\end{titlepage}

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% plots 

\begin{figure}
\centering
\epsfig{file=H1prelim-03-011.fig1.eps,width=0.84\linewidth}
\caption{
  Reduced cross section $\sigrdthree$ from this measurement at 
high $Q^2$ (green
  boxes) as well as from recent H1 measurements at low \cite{f2d99mb}
  (blue triangles) and medium \cite{f2d97} (red points) $Q^2$. $\xpom
  \sigrdthree(\xpom,\beta,Q^2)$ is shown as a function of $\xpom$ for
  fixed $\beta$ and $Q^2$.  Here and elsewhere, inner error bars
  represent statistical errors, outer error bars correspond to the
  total error, given by the quadratic sum of statistical and
  systematic errors. Normalization uncertainties, which are of the
  order of $6-8\%$ for each data set, are not shown.  Also shown is
  the prediction for $\xpom \sigrdthree$ for $\sqrt{s}=319 \rm\ GeV$
  from the NLO QCD fit \cite{f2d97} (solid curves) performed to the medium $Q^2$
  data.  The fit is shown for $Q^2>Q_0^2=3\rm\ GeV^2$ and $M_X>2 \rm\ 
  GeV$.  The fit extrapolation to low ($Q^2<6.5 \rm\ GeV^2$) and high
  ($Q^2>120\rm\ GeV^2$) values of $Q^2$ is shown as dotted curves.  }
\label{fig1}
\end{figure}

\begin{figure}
\centering
\epsfig{file=H1prelim-03-011.fig2.eps,width=1.0\linewidth}
\caption{
The measured reduced cross section $\xpom\sigrdthree$, plotted
as a function of $\xpom$ at fixed $(\beta,Q^2)$ (green
data points). The data are compared with the predictions
of the original Soft Colour Interactions (SCI) model \cite{sci} (dashed curves)
and its refinement based on a generalized area law 
(solid curves) \cite{scinew},
both obtained with the LEPTO 6.5 MC generator and using CTEQ5L proton pdf's.
}
\label{fig2}
\end{figure}

\begin{figure}
\centering
\epsfig{file=H1prelim-03-011.fig3.eps,width=1.0\linewidth}
\caption{The measured reduced cross section $\xpom\sigrdthree$, plotted
as a function of $\xpom$ at fixed $(\beta,Q^2)$ from the present measurement
(green
data points), compared with the previous H1 preliminary measurement
based on 1994-1997 data \cite{f2dandy} (released for ICHEP Vancouver 
1998, black
triangles, scaled horizontally by a factor 1.1 for better visibility). 
Also shown is the prediction for $\xpom \sigrdthree$ for $\sqrt{s}=319 \rm\
GeV$ from the NLO QCD fit \cite{f2d97} performed to the medium $Q^2$ data.
The solid curves correspond to the sum of ``Pomeron'' and ``Reggeon''
exchange contributions in the fit, whereas the dotted curves represent
the contribution from ``Pomeron'' exchange alone.
}
\label{fig3}
\end{figure}

% fixed xpom, full 

\begin{figure}
\centering
\epsfig{file=H1prelim-03-011.fig4.eps,width=0.99\linewidth}
\caption{Reduced cross section $\sigrdthree$ from this measurement (green boxes) shown together with recent H1 measurements at lower $Q^2$ (blue triangles and red points). $\xpom \sigrdthree(\xpom,\beta,Q^2)$ is shown as a function of $Q^2$ at fixed $x$ or $\beta$ and $\xpom=0.01$.
Also shown is the prediction for $\xpom \sigrdthree$ for $\sqrt{s}=319 \rm\
GeV$ from the NLO QCD fit performed to the medium $Q^2$ data.
}
\label{fig4}
\end{figure}

\begin{figure}
\centering
\epsfig{file=H1prelim-03-011.fig5.eps,width=0.99\linewidth}
\caption{Reduced cross section $\sigrdthree$ from this measurement (green boxes) shown together with recent H1 measurements at lower $Q^2$ (red points). $\xpom \sigrdthree(\xpom,\beta,Q^2)$ is shown as a function of $Q^2$ at fixed $x$ or $\beta$ and $\xpom=0.03$.
Also shown is the prediction for $\xpom \sigrdthree$ for $\sqrt{s}=319 \rm\
GeV$ from the NLO QCD fit performed to the medium $Q^2$ data.
}
\label{fig5}
\end{figure}

\begin{figure}
\centering
\epsfig{file=H1prelim-03-011.fig6.eps,width=0.99\linewidth}
\caption{Reduced cross section $\sigrdthree$ from this measurement (green boxes) shown together with recent H1 measurements at lower $Q^2$ (blue triangles and red points). $\xpom \sigrdthree(\xpom,\beta,Q^2)$ is shown as a function of $\beta$ at fixed $Q^2$ and $\xpom=0.01$.
Also shown is the prediction for $\xpom \sigrdthree$ for $\sqrt{s}=319 \rm\
GeV$ from the NLO QCD fit performed to the medium $Q^2$ data.
}
\label{fig6}
\end{figure}

\begin{figure}
\centering
\epsfig{file=H1prelim-03-011.fig7.eps,width=0.99\linewidth}
\caption{Reduced cross section $\sigrdthree$ from this measurement (green boxes) shown together with recent H1 measurements at lower $Q^2$ (red points). $\xpom \sigrdthree(\xpom,\beta,Q^2)$ is shown as a function of $\beta$ at fixed $Q^2$ and $\xpom=0.03$.
Also shown is the prediction for $\xpom \sigrdthree$ for $\sqrt{s}=319 \rm\
GeV$ from the NLO QCD fit performed to the medium $Q^2$ data.
}
\label{fig7}
\end{figure}

% fixed xpom, zoomed

\begin{figure}
\centering
\epsfig{file=H1prelim-03-011.fig8.eps,width=0.49\linewidth}
\epsfig{file=H1prelim-03-011.fig10.eps,width=0.49\linewidth}
\caption{
  Reduced cross section $\sigrdthree$ at fixed $\xpom=0.01$ from this
  measurement (green boxes) shown together with recent H1 measurements at
  lower $Q^2$ (red points). $\xpom \sigrdthree(\xpom,\beta,Q^2)$ is
  shown as a function of $Q^2$ at fixed $x$ or $\beta$ (left) and as a
  function of $\beta$ at fixed $Q^2$ (right). Also shown is the
  prediction for $\xpom \sigrdthree$ for $\sqrt{s}=319 \rm\ GeV$ from
  the NLO QCD fit performed to the medium $Q^2$ data.
}
\label{fig8and10}
\end{figure}

\begin{figure}
\centering
\epsfig{file=H1prelim-03-011.fig9.eps,width=0.49\linewidth}
\epsfig{file=H1prelim-03-011.fig11.eps,width=0.49\linewidth}
\caption{  Reduced cross section $\sigrdthree$ at fixed $\xpom=0.03$ from this
  measurement (green boxes) shown together with recent H1 measurements at
  lower $Q^2$ (red points). $\xpom \sigrdthree(\xpom,\beta,Q^2)$ is
  shown as a function of $Q^2$ at fixed $x$ or $\beta$ (left) and as a
  function of $\beta$ at fixed $Q^2$ (right). Also shown is the
  prediction for $\xpom \sigrdthree$ for $\sqrt{s}=319 \rm\ GeV$ from
  the NLO QCD fit performed to the medium $Q^2$ data.
}
\label{fig9and11}
\end{figure}


\clearpage


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

\begin{thebibliography}{99}


\bibitem{f2d99mb}
H1 Collaboration, "Measurement of the Diffractive DIS Cross Section 
at low Q2", paper {\bf 981} 
subm. to ICHEP 2002 (Amsterdam).  \verb=[H1prelim-02-112]=

\bibitem{f2d97}
H1 Collaboration, "Measurement and NLO DGLAP QCD Interpretation of 
Diffractive Deep-Inelastic Scattering at HERA", paper {\bf 980} 
subm. to ICHEP 2002 (Amsterdam). \verb=[H1prelim-02-012]=

\bibitem{sci} A.~Edin, G.~Ingelman, J.~Rathsman,
\Journal{\PLB}{366}{1996}{371}; \\
A.~Edin, G.~Ingelman, J.~Rathsman, \Journal{\ZPC}{75}{1997}{57}.
 
\bibitem{scinew} J.~Rathsman, \Journal{\PLB}{452}{1999}{364}.

\bibitem{f2dandy}
 H1 Collaboration "Measurements of the diffractive structure 
function $F_2^{D(3)}$ at low and high $Q^2$ at HERA, paper 
no. {\bf 571} subm. to ICHEP 1998 (Vancouver). \verb=[H1prelim-98-571]=
 
\end{thebibliography}

\end{document}




