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\citation{Frixione:2002ik}
\citation{Nason:2004rx,Frixione:2007vw}
\citation{Collins:2002ey}
\citation{Campbell:2006wx}
\citation{Campbell:2006wx}
\citation{ThorneSh}
\newlabel{sec:intro}{{1}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction }{1}}
\citation{Campbell:2006wx}
\citation{Campbell:2006wx,ThorneSh}
\newlabel{sec:GaPdf}{{2}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Global Analysis of PDFs For LO Event Generators }{2}}
\citation{ThorneSh}
\citation{pdf4mc}
\citation{ThorneSh}
\citation{Campbell:2000bg}
\citation{Pumplin:2009nk}
\citation{ThorneSh}
\citation{Campbell:2000bg}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces A comparison of the NLO pseudo-data boson rapidity predictions at the LHC (14 TeV) to LO predictions using CTEQ6.6 and CTEQ6L1 PDFs. }}{7}}
\newlabel{fig:Pseudo-Data-Distribution}{{1}{7}}
\newlabel{sec:PS}{{3}{8}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Impact of Parton Showering }{8}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Leading order predictions for the production of a 10 GeV Higgs boson (left) and a 120 GeV Higgs boson (right) at the LHC with and without the influence of parton showering. CTEQ6L1 PDFs are used for both predictions. }}{9}}
\newlabel{fig:higgs_ps}{{2}{9}}
\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Leading order predictions for the production of a $W^+$ boson at the LHC using CTEQ6L1 PDFs (left) and CT09MC2 PDFs (right), with and without the influence of parton showering. }}{9}}
\newlabel{fig:wp_ps}{{3}{9}}
\newlabel{sec:considerations}{{4}{10}}
\@writefile{toc}{\contentsline {section}{\numberline {4}General Considerations }{10}}
\newlabel{sec:Results}{{5}{10}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Results from the Modified Framework }{10}}
\@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces The fitted $K_{i}$ and $\mu _{i}$ for each pseudo data set. }}{11}}
\newlabel{tab:fitted-Norm-scale}{{1}{11}}
\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Comparisons of the NLO pseudo-data cross sections for $W$, $Z$ and Higgs production at the LHC (14 TeV) with the LO predictions using the modified LO PDF CT09MCS. The scale choices and normalizations are as in Table\nobreakspace  {}1\hbox {}. }}{11}}
\newlabel{fig:WZ_cp}{{4}{11}}
\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Comparisons of the NLO pseudo-data cross sections for $b'\overline  {b'}$ and $t\mathaccentV {bar}016{t}$ production at the LHC (14 TeV) with the LO predictions using the modified LO PDF CT09MCS. The scale choices and normalizations are as in Table\nobreakspace  {}1\hbox {}. }}{12}}
\newlabel{fig:bb_cp}{{5}{12}}
\@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces Fitted $K_{i}$ for each pseudo-data set at the LHC (14 TeV) along with the parton momentum sum in the proton. }}{12}}
\newlabel{tab:fitted-LHC-norm}{{2}{12}}
\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Predictions for the $W^+$ rapidity distribution, in 0.4 $\Delta y$ bins, at 7, 10 and 14 TeV, as given by NLO predictions using the CTEQ6.6 PDFs, and LO predictions using the CT09MC2 and MRST2007lomod PDFs. The absolute normalizations are used for the predictions. }}{13}}
\newlabel{fig:W+}{{6}{13}}
\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces  Predictions for the $W^-$ rapidity distribution, in 0.4 $\Delta y$ bins, at 7, 10 and 14 TeV, as given by NLO predictions using the CTEQ6.6 PDFs, and LO predictions using the CT09MC2 and MRST2007lomod PDFs. The absolute normalizations are used for the predictions. }}{14}}
\newlabel{fig:W-}{{7}{14}}
\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Predictions for the $Z$ rapidity distribution, in 0.4 $\Delta y$ bins, at 7, 10 and 14 TeV, as given by NLO predictions using the CTEQ6.6 PDFs, and LO predictions using the CT09MC2 and MRST2007lomod PDFs. The absolute normalizations are used for the predictions. }}{15}}
\newlabel{fig:Z}{{8}{15}}
\@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces Predictions for the {\it  Higgs} rapidity distribution, in 0.4 $\Delta y$ bins, at 10 and 14 TeV, as given by NLO predictions using the CTEQ6.6 PDFs, and LO predictions using the CT09MC2 and MRST2007lomod PDFs. The absolute normalizations are used for the predictions. To maintain legibility, the distribution for 7 TeV is not shown. }}{16}}
\newlabel{fig:higgs}{{9}{16}}
\@writefile{lof}{\contentsline {figure}{\numberline {10}{\ignorespaces  Predictions for the $t\mathaccentV {bar}016{t}$ mass distribution, in 0.4 $\Delta y$ bins, at 10 and 14 TeV, as given by NLO predictions using the CTEQ6.6 PDFs, and LO predictions using the CT09MC2 and MRST2007lomod PDFs. The absolute normalizations are used for the predictions. To maintain legibility, the distribution for 7 TeV is not shown. }}{17}}
\newlabel{fig:tT}{{10}{17}}
\@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces Predictions for the $t\mathaccentV {bar}016{t}$ mass distribution, using a semi-log scale, in 0.4 $\Delta y$ bins, at 10 and 14 TeV, as given by NLO predictions using the CTEQ6.6 PDFs, and LO predictions using the CT09MC2 and MRST2007lomod PDFs. The absolute normalizations are used for the predictions. To maintain legibility, the distribution for 7 TeV is not shown. }}{18}}
\newlabel{fig:tT_log}{{11}{18}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Comparisons of PDFs}{19}}
\@writefile{toc}{\contentsline {section}{\numberline {7}Predictions for Other LHC Cross Sections}{19}}
\@writefile{lof}{\contentsline {figure}{\numberline {12}{\ignorespaces The ratio of the gluon distributions from various LO PDFs to the gluon distribution from CTEQ6.6 at Q values of 8 and 85 GeV. }}{20}}
\newlabel{fig:gluon_28}{{12}{20}}
\@writefile{lof}{\contentsline {figure}{\numberline {13}{\ignorespaces The ratio of the up quark distributions from various LO PDFs to the up quark distribution from CTEQ6.6 at Q values of 8 and 85 GeV. }}{20}}
\newlabel{fig:up_8}{{13}{20}}
\@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces The ratio of the down quark distributions from various LO PDFs to the down quark distribution from CTEQ6.6 at Q values of 8 and 85 GeV. }}{21}}
\newlabel{fig:down_8}{{14}{21}}
\@writefile{lof}{\contentsline {figure}{\numberline {15}{\ignorespaces The ratio of the $\mathaccentV {bar}016{u}$ quark distributions from various LO PDFs to the $\mathaccentV {bar}016{u}$ quark distribution from CTEQ6.6 at Q values of 8 and 85 GeV. }}{21}}
\newlabel{fig:ubar_8}{{15}{21}}
\@writefile{lof}{\contentsline {figure}{\numberline {16}{\ignorespaces The rapidity distribution for the production of a 120 GeV Higgs through vector boson fusion at 14 TeV. Also shown is the rapidity distribution of the leading jet. }}{22}}
\newlabel{fig:vbf}{{16}{22}}
\citation{Campbell:2006wx}
\citation{Campbell:2006wx}
\citation{markus}
\@writefile{toc}{\contentsline {section}{\numberline {8}K-factors}{23}}
\@writefile{toc}{\contentsline {section}{\numberline {9}Impact on the Underlying Event at the LHC}{23}}
\newlabel{sec:summ}{{10}{23}}
\@writefile{toc}{\contentsline {section}{\numberline {10}Summary and Conclusion}{23}}
\@writefile{lot}{\contentsline {table}{\numberline {3}{\ignorespaces  $K$-factors for various processes at the LHC calculated using a selection of input parameters. In all cases, the CTEQ6 PDF set is used at NLO. ${\cal  K}$ uses the CTEQ6L1 set at leading order, whilst ${\cal  K}^\prime $ uses the same set, CTEQ6, as at NLO and ${\cal  K}^{\prime \prime }$ uses the modified LO (2-loop) PDF set CT09MC2. For Higgs+1 or 2jets, a jet cut of $40\ \@mathrm {GeV}/c$ and $|\eta |<4.5$ has been applied. A cut of $p_{T}^{\@mathrm {jet}}>20\ \@mathrm {GeV}/c$ has been applied for the $t\mathaccentV {bar}016{t}$+jet process, and a cut of $p_{T}^{\@mathrm {jet}}>50\ \@mathrm {GeV}/c$ for $WW$+jet. In the $W$(Higgs)+2jets process the jets are separated by $\Delta R>0.52$, whilst the VBF calculations are performed for a Higgs boson of mass $120$\nobreakspace  {}GeV. In each case the value of the $K$-factor is compared at two often-used scale choices, where the scale indicated is used for both renormalization and factorization scales.}}{24}}
\newlabel{tab:K-fact}{{3}{24}}
\@writefile{toc}{\contentsline {section}{\numberline {11}In Memoriam}{24}}
\@writefile{toc}{\contentsline {paragraph}{Acknowledgements}{25}}
\bibcite{Frixione:2002ik}{1}
\bibcite{Nason:2004rx}{2}
\bibcite{Frixione:2007vw}{3}
\bibcite{Collins:2002ey}{4}
\bibcite{Thorne:2007jc}{5}
\bibcite{Campbell:2006wx}{6}
\bibcite{Albrow:2006rt}{7}
\bibcite{ThorneSh}{8}
\bibcite{Sherstnev:2008dm}{9}
\bibcite{pdf4mc}{10}
\bibcite{Campbell:2000bg}{11}
\bibcite{Pumplin:2009nk}{12}
\bibcite{markus}{13}