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LHeC-Note-2012-005 GEN ~~~~~~~~~~\\
Geneva, October 15, 2012
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\begin{LARGE}
\bf{On the Relation of the LHeC and the LHC} \\
\end{LARGE}
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\begin{LARGE}
% Report on the Physics and Design \\
%Concepts for Machine and Detector \\
 \end{LARGE}
 \vspace{1cm}
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%several experts
\begin{Large}
\bf{LHeC Study Group
\footnote{For the current author list
see the end of this note. Contacts: 
oliver.bruning@cern.ch and max.klein@cern.ch}
%\footnote{
%The study group includes basically the authors of the
%deign report recently published  and a number of
%colleagues, who recently joined the project. 
%have recently expressed an interest to join the LHeC
%development. 
%The authorlist is available in the web version of this note.}} 
}\\ 
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$\bf{Abstract}$ \\
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The present note relies on the recently published 
conceptual design report of the LHeC and extends
the first contribution to the European strategy
debate in emphasizing the role of the LHeC to complement
and complete the high luminosity LHC programme.
The brief discussion therefore focusses on the importance
of high precision PDF and $\alpha_s$ determinations
for the physics beyond the Standard Model (GUTs,
SUSY, Higgs).  Emphasis is also given to the importance  
of high parton density phenomena in nuclei and their relevance
to the heavy ion physics programme at the LHC.
\\
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Submitted to the European Strategy for Particle Physics, \\
October 2012.
%THIS IS A DRAFT VERSION OF THE LHeC CONTRIBUTION WHICH WILL BE REPLACED BY THE FINAL %VERSION ON AUGUST 8$^{th}$, 2012
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\section{Introduction}
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\label{intro}
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\section{The LHeC Linac-Ring Collider}
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\label{linac}
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\section{Parton Distributions}
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\subsection{PDFs in pp and ep}
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\label{pdfs}
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\label{pdftheory}
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\subsection{NC and CC Cross Section Measurements}
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\label{crosec}
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\subsection{Valence and Sea Quarks}
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\label{heavyQ}
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\subsection{Gluon Distribution}
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\label{gluon}
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\section{PDFs for BSM Searches}
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\subsection{Strong Coupling and Grand Unification}
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\label{alfas}
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\subsection{Supersymmetry}
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\label{susy}
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\section{Higgs Measurements}
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\label{higgs}
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\section{Heavy Ion Physics}
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\label{heavyions}
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\section{Summary}
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\begin{footnotesize}
\begin{thebibliography}{99}
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%\bibitem{chavannes12}
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  %%CITATION = ARXIV:1206.2913;%%
%\bibitem{sbchavannes}
%S.\,Bertolucci, Talk at the CERN-ECFA-NuPECC Workshop at Chavannes,
%Switzerland, see~\cite{chavannes12}.
%\bibitem{icfa}
%ICFA Beam Dynamics Newsletter No.~58, August 2012
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  %%CITATION = ARXIV:1207.7214;%%
%
\bibitem{:2012gu}
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  %%CITATION = ARXIV:1207.7235;%%
%
\bibitem{ATLAS-LHLHC}
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%%%%%%%%%%%%%%%%%%% STEFANO'S REFERENCES

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%\cite{Lai:2010vv}
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%\cite{Martin:2009iq}
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%\cite{Ball:2011uy}
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  %%CITATION = ARXIV:1107.2652;%%
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%%%%%%%%%%%%%%%%%%% END STEFANO'S REFERENCES
%
%\bibitem{job1012}
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%\bibitem{Alekhin:2012ig}
\bibitem{job1012}
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  %%CITATION = ARXIV:1202.2281;%%
%
\bibitem{wobi}
M.~Wobisch, private communication, see also \\
D.~Bandurin, Plenary Talk on QCD at ICHEP2012, Melbourne (2012).
%
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  %%CITATION = ARXIV:1109.3859;%%
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B.~C.~Allanach,
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  %%CITATION = HEP-PH/0104145;%
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Prospino, $http://www.thphys.uni-heidelberg.de/~plehn/...$ see tools; \\
R.\,Kleiss, Master thesis, University of Heidelberg (unpublished).  
%
\bibitem{Dreiner:2010gv}
  H.~K.~Dreiner, M.~Kraemer, J.~M.~Lindert and B.~O'Leary,
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  %%CITATION = ARXIV:1003.2648;%%
%
\bibitem{Baglio:2012et}
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  %%CITATION = ARXIV:1207.1451;%%
%  
\bibitem{juan}
J.\,Rojo, Talk at the PDF4LHC Workshop, 8th of October, 2012, CERN.  
%
\bibitem{Baglio:2010ae}
  J.~Baglio and A.~Djouadi,
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  %%CITATION = ARXIV:1012.0530;%%
\bibitem{Denner:2011mq}
  A.~Denner, S.~Heinemeyer, I.~Puljak, D.~Rebuzzi and M.~Spira,
  %``Standard Model Higgs-Boson Branching Ratios with Uncertainties,''
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  %%CITATION = ARXIV:1107.5909;%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%Nestors references%%%%%%%%%%%%%
  %\cite{Abelev:2012rv}
\bibitem{Abelev:2012rv}
  B.~Abelev {\it et al.}  [ALICE Collaboration],
  %``J/psi suppression at forward rapidity in Pb-Pb collisions at sqrt(sNN) = 2.76 TeV,''
  Phys.\ Rev.\ Lett.\  {\bf 109} (2012) 072301
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  %%CITATION = ARXIV:1202.1383;%%
    
% \bibitem{lheccrac} LHeC Study Group,
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  %\cite{Shen:2011zc}
\bibitem{Shen:2011zc}
  C.~Shen, S.~A.~Bass, T.~Hirano, P.~Huovinen, Z.~Qiu, H.~Song and U.~Heinz,
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  %%CITATION = ARXIV:1106.6350;%%
  
\bibitem{alicehndeta}
  B.~Abelev {\it et al.}  [ ALICE Collaboration],
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  %%CITATION = ARXIV:1210.3615;%%
   
% \bibitem{alicerpa} ALICE pPb RpA
    
\bibitem{jowettcrac} J.~M.~Jowett,
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  %\cite{Salgado:2011wc,Eskola:2012rg,alicehndeta,alicerpa}
\bibitem{Salgado:2011wc}
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  %%CITATION = ARXIV:1105.3919;%%
  
  %\cite{Eskola:2012rg}
\bibitem{Eskola:2012rg}
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  arXiv:1209.1546 [hep-ph].
  %%CITATION = ARXIV:1209.1546;%%

\end{thebibliography}
%\end{footnotesize}
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\section*{LHeC Study Group}
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