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\@writefile{lof}{\contentsline {figure}{\numberline {4.4}{\ignorespaces Distribution of \ensuremath  {E_{\mathrm  {T}}^{\mathrm  {miss}}}\xspace  in dijet events in 2012 data. The open data points show all events, while the black points show the data after application of \ensuremath  {E_{\mathrm  {T}}^{\mathrm  {miss}}}\xspace  filters. Simulated SM processes are shown as filled histograms~\cite  {1748-0221-10-02-P02006}.\relax }}{45}{figure.caption.53}}
\newlabel{fig:METFilters}{{4.4}{45}{Distribution of \MET in dijet events in 2012 data. The open data points show all events, while the black points show the data after application of \MET filters. Simulated SM processes are shown as filled histograms~\cite {1748-0221-10-02-P02006}.\relax }{figure.caption.53}{}}
\citation{CMS}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.2}Inclusive dilepton selection}{46}{subsection.4.3.2}}
\newlabel{sec:inclusiveSelection}{{4.3.2}{46}{Inclusive dilepton selection}{subsection.4.3.2}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {4.5}{\ignorespaces On the left, the distribution of the pileup corrected relative isolation of the trailing lepton for prompt leptons, leptons from heavy flavour decays, and misidentified jets in \ensuremath  {t\mathaccentV {bar}016{t}}\xspace  simulation is shown. On the right side, the efficiency for a prompt lepton to pass the isolation requirement is shown as a function of the reconstructed number of vertices for both \ensuremath  {t\mathaccentV {bar}016{t}}\xspace  and \ensuremath  {\ensuremath  {\mathrm  {Z}}\xspace  +\text  {jets}}\xspace  simulation. In both cases, the inclusive dilepton selection is applied.\relax }}{47}{figure.caption.54}}
\newlabel{fig:isolation}{{4.5}{47}{On the left, the distribution of the pileup corrected relative isolation of the trailing lepton for prompt leptons, leptons from heavy flavour decays, and misidentified jets in \ttbar simulation is shown. On the right side, the efficiency for a prompt lepton to pass the isolation requirement is shown as a function of the reconstructed number of vertices for both \ttbar and \Zjets simulation. In both cases, the inclusive dilepton selection is applied.\relax }{figure.caption.54}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {4.6}{\ignorespaces Distributions of $|\eta |$ (left) and $\Delta R(\ell \ell )$ (right) for the leading lepton for \ensuremath  {\mu ^\pm \mu ^\mp }\xspace  (black line) and \ensuremath  {e^\pm e^\mp }\xspace  (red dashed line) events in a simulation of $t\mathaccentV {bar}016{t}$ events. Both histograms have been normalised to an area of 1.\relax }}{48}{figure.caption.55}}
\newlabel{fig:cutJustification}{{4.6}{48}{Distributions of $|\eta |$ (left) and $\Delta R(\ell \ell )$ (right) for the leading lepton for \MM (black line) and \EE (red dashed line) events in a simulation of $t\bar {t}$ events. Both histograms have been normalised to an area of 1.\relax }{figure.caption.55}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.3}Selections in \ensuremath  {E_{\mathrm  {T}}^{\mathrm  {miss}}}\xspace  and jet multiplicity}{48}{subsection.4.3.3}}
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\@writefile{lof}{\contentsline {figure}{\numberline {4.7}{\ignorespaces Distribution of backgrounds events with SF leptons in the \ensuremath  {E_{\mathrm  {T}}^{\mathrm  {miss}}}\xspace  -\ensuremath  {N_\text  {Jets}}\xspace  plane for $t\mathaccentV {bar}016{t}$ (left) and Drell-Yan (right) events from simulation. The events are weighted according to the cross section of the process and the size of the generated event sample, assuming an integrated luminosity of $19.5\tmspace  +\thinmuskip {.1667em}\ensuremath  {\mathrm  {fb}^{-1}\xspace  }$. The three regions defined in the plane are indicated by lines. The central and forward dilepton selections are combined.\relax }}{49}{figure.caption.56}}
\newlabel{fig:sigRegionBG}{{4.7}{49}{Distribution of backgrounds events with SF leptons in the \MET -\njets plane for $t\bar {t}$ (left) and Drell-Yan (right) events from simulation. The events are weighted according to the cross section of the process and the size of the generated event sample, assuming an integrated luminosity of \lumi . The three regions defined in the plane are indicated by lines. The central and forward dilepton selections are combined.\relax }{figure.caption.56}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3.4}Selections in \ensuremath  {m_{\ell \ell }}\xspace  }{49}{subsection.4.3.4}}
\@writefile{lof}{\contentsline {figure}{\numberline {4.8}{\ignorespaces Distribution of signal events with SF leptons in the \ensuremath  {E_{\mathrm  {T}}^{\mathrm  {miss}}}\xspace  -\ensuremath  {N_\text  {Jets}}\xspace  plane. Shown is one point from the fixed-edge model with $m_{\ensuremath  {\mathaccentV {tilde}07E{b}}\xspace  } = \unit  {550}{\ensuremath  {\SI@fstyle  {G}}\ensuremath  {\SI@fstyle  {e\kern -0.05ex\ensuremath  {\SI@fstyle  {V}}}}}$ and $m_{\ensuremath  {{\mathaccentV {tilde}07E{\chi }^0_2}}\xspace  } = \unit  {275}{\ensuremath  {\SI@fstyle  {G}}\ensuremath  {\SI@fstyle  {e\kern -0.05ex\ensuremath  {\SI@fstyle  {V}}}}}$ (left) and one from the slepton-edge model with $m_{\ensuremath  {\mathaccentV {tilde}07E{b}}\xspace  } = \unit  {500}{\ensuremath  {\SI@fstyle  {G}}\ensuremath  {\SI@fstyle  {e\kern -0.05ex\ensuremath  {\SI@fstyle  {V}}}}}$ and $m_{\ensuremath  {{\mathaccentV {tilde}07E{\chi }^0_2}}\xspace  } = \unit  {175}{\ensuremath  {\SI@fstyle  {G}}\ensuremath  {\SI@fstyle  {e\kern -0.05ex\ensuremath  {\SI@fstyle  {V}}}}}$ (right). The events are weighted according to their cross section and the size of the generated event sample, assuming an integrated luminosity of $19.5\tmspace  +\thinmuskip {.1667em}\ensuremath  {\mathrm  {fb}^{-1}\xspace  }$. The three regions defined in the plane are indicated by lines. The central and forward dilepton selections are combined.\relax }}{50}{figure.caption.57}}
\newlabel{fig:sigRegionSignal}{{4.8}{50}{Distribution of signal events with SF leptons in the \MET -\njets plane. Shown is one point from the fixed-edge model with $m_{\sbottom } = \unit {550}{\giga \electronvolt }$ and $m_{\secondchi } = \unit {275}{\giga \electronvolt }$ (left) and one from the slepton-edge model with $m_{\sbottom } = \unit {500}{\giga \electronvolt }$ and $m_{\secondchi } = \unit {175}{\giga \electronvolt }$ (right). The events are weighted according to their cross section and the size of the generated event sample, assuming an integrated luminosity of \lumi . The three regions defined in the plane are indicated by lines. The central and forward dilepton selections are combined.\relax }{figure.caption.57}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {4.9}{\ignorespaces Distribution of \ensuremath  {m_{\ell \ell }}\xspace  in SM simulation in the signal regions. The different background contributions are shown as stacked histograms. The distribution is normalised to $19.5\tmspace  +\thinmuskip {.1667em}\ensuremath  {\mathrm  {fb}^{-1}\xspace  }$. The red lines indicate the on-\ensuremath  {\mathrm  {Z}}\xspace  region while the black lines show the boundaries of the low-mass and high-mass regions.\relax }}{50}{figure.caption.58}}
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\@writefile{lot}{\contentsline {table}{\numberline {4.5}{\ignorespaces Summary of event selections applied in the analysis. Each of the selections in \ensuremath  {N_\text  {Jets}}\xspace  and \ensuremath  {E_{\mathrm  {T}}^{\mathrm  {miss}}}\xspace  (Drell--Yan control region, flavour-symmetric control region, and signal region) are applied on top of the inclusive dilepton selection. Selections in \ensuremath  {m_{\ell \ell }}\xspace  and lepton $|\eta |$ are applied to select subsets of these regions.\relax }}{51}{table.caption.59}}
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\@writefile{toc}{\contentsline {chapter}{\numberline {5}Estimation of Standard Model backgrounds}{53}{chapter.5}}
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\@writefile{lof}{\contentsline {figure}{\numberline {5.1}{\ignorespaces Ratio of SF to OF events as a function of \ensuremath  {m_{\ell \ell }}\xspace  in the flavour-symmetric control region in simulation. All contributing background processes have been considered. Shown are the results for the central (top) and forward (bottom) lepton selection. The black vertical lines indicate the upper boundary of the low-mass region and the lower boundary of the high-mass region.\relax }}{54}{figure.caption.60}}
\newlabel{fig:controlRatioMC}{{5.1}{54}{Ratio of SF to OF events as a function of \mll in the flavour-symmetric control region in simulation. All contributing background processes have been considered. Shown are the results for the central (top) and forward (bottom) lepton selection. The black vertical lines indicate the upper boundary of the low-mass region and the lower boundary of the high-mass region.\relax }{figure.caption.60}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.1}Direct measurement of \ensuremath  {R_{\text  {SF/OF}}}\xspace  }{54}{subsection.5.1.1}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.2}{\ignorespaces Ratio of SF to OF events as a function of \ensuremath  {m_{\ell \ell }}\xspace  in the flavour-symmetric control region in data. Shown are the results for the central (top) and forward (bottom) lepton selection. The black vertical lines indicate the upper boundary of the low-mass region and the lower boundary of the high-mass region.\relax }}{55}{figure.caption.61}}
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\@writefile{toc}{\contentsline {subsection}{\numberline {5.1.2}Determination of \ensuremath  {R_{\text  {SF/OF}}}\xspace  with the factorisation method}{55}{subsection.5.1.2}}
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\@writefile{lot}{\contentsline {table}{\numberline {5.1}{\ignorespaces Observed event yields in the control region and the resulting values of \ensuremath  {R_{\text  {SF/OF}}}\xspace  , \ensuremath  {R_\text  {$ee$/OF}}\xspace  , and \ensuremath  {R_\text  {$\mu \mu $/OF}}\xspace  . The results are shown separately for the central and forward lepton selection and the same quantities derived on simulation are shown for comparison. For the simulation, the ratio between the values of \ensuremath  {R_{\text  {SF/OF}}}\xspace  , \ensuremath  {R_\text  {$ee$/OF}}\xspace  , and \ensuremath  {R_\text  {$\mu \mu $/OF}}\xspace  measured in the signal and control region is shown.\relax }}{56}{table.caption.62}}
\newlabel{tab:rSFOF}{{5.1}{56}{Observed event yields in the control region and the resulting values of \Rsfof , \Reeof , and \Rmmof . The results are shown separately for the central and forward lepton selection and the same quantities derived on simulation are shown for comparison. For the simulation, the ratio between the values of \Rsfof , \Reeof , and \Rmmof measured in the signal and control region is shown.\relax }{table.caption.62}{}}
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\@writefile{toc}{\contentsline {subsubsection}{\nonumberline Measurement of $\mathbf  {r_{\mu e}}$}{57}{section*.63}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.3}{\ignorespaces Distribution of \ensuremath  {m_{\ell \ell }}\xspace  in the Drell-Yan control region for \ensuremath  {\mu ^\pm \mu ^\mp }\xspace  events (left) and \ensuremath  {e^\pm e^\mp }\xspace  events (right). The data is shown as the black dots, while the contributions from SM processes, estimated from simulation, are shown as the stacked histograms. The black lines indicate the region in \ensuremath  {m_{\ell \ell }}\xspace  used in the measurement of \ensuremath  {r_{\mu e}}\xspace  .\relax }}{58}{figure.caption.64}}
\newlabel{fig:rmueMll}{{5.3}{58}{Distribution of \mll in the Drell-Yan control region for \MM events (left) and \EE events (right). The data is shown as the black dots, while the contributions from SM processes, estimated from simulation, are shown as the stacked histograms. The black lines indicate the region in \mll used in the measurement of \rmue .\relax }{figure.caption.64}{}}
\@writefile{lot}{\contentsline {table}{\numberline {5.2}{\ignorespaces Result of the measurement of \ensuremath  {r_{\mu e}}\xspace  . Shown are the observed event yields in the Drell--Yan control region for the central and forward lepton selection in the \ensuremath  {e^\pm e^\mp }\xspace  and \ensuremath  {\mu ^\pm \mu ^\mp }\xspace  channels and the resulting values of \ensuremath  {r_{\mu e}}\xspace  . The same quantaties derived from simulation are shown for comparison.\relax }}{58}{table.caption.65}}
\newlabel{tab:rMuE}{{5.2}{58}{Result of the measurement of \rmue . Shown are the observed event yields in the Drell--Yan control region for the central and forward lepton selection in the \EE and \MM channels and the resulting values of \rmue . The same quantaties derived from simulation are shown for comparison.\relax }{table.caption.65}{}}
\@writefile{toc}{\contentsline {subsubsection}{\nonumberline Measurement of \ensuremath  {R_\mathrm  {T}}\xspace  }{59}{section*.67}}
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\@writefile{lof}{\contentsline {figure}{\numberline {5.4}{\ignorespaces Dependencies of \ensuremath  {r_{\mu e}}\xspace  on \ensuremath  {m_{\ell \ell }}\xspace  (top), \ensuremath  {E_{\mathrm  {T}}^{\mathrm  {miss}}}\xspace  (middle), and \ensuremath  {N_\text  {Jets}}\xspace  (bottom) for the central (left) and forward (right) lepton selection. The results on data are shown in black while $t\mathaccentV {bar}016{t}$ simulation is shown in green. The central value is shown as a brown dashed line while the assigned systematic uncertainty of 10\% for the central and 20\% for the forward lepton selection is shown as an orange band.\relax }}{60}{figure.caption.66}}
\newlabel{fig:rmueDependencies}{{5.4}{60}{Dependencies of \rmue on \mll (top), \MET (middle), and \njets (bottom) for the central (left) and forward (right) lepton selection. The results on data are shown in black while $t\bar {t}$ simulation is shown in green. The central value is shown as a brown dashed line while the assigned systematic uncertainty of 10\% for the central and 20\% for the forward lepton selection is shown as an orange band.\relax }{figure.caption.66}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.5}{\ignorespaces The ratio of trigger efficiencies calculated using the \ensuremath  {H_\mathrm  {T}}\xspace  ($\alpha _{\mathrm  {T}}$) triggers to the true efficiencies is shown on the left (right) side, separately for SF and OF events.\relax }}{61}{figure.caption.69}}
\newlabel{fig:triggerEffBias}{{5.5}{61}{The ratio of trigger efficiencies calculated using the \HT ($\alpha _{\mathrm {T}}$) triggers to the true efficiencies is shown on the left (right) side, separately for SF and OF events.\relax }{figure.caption.69}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.6}{\ignorespaces Efficiency of the trailing lepton legs of the dilepton trigger measured on a sample of data events selected with single lepton triggers as a function of the \ensuremath  {p_{\mathrm  {T}}}\xspace  of the trailing lepton. The asymptotic efficiency with its statistical uncertainties are determined by fitting a constant in the range $\unit  {\ensuremath  {p_{\mathrm  {T}}}\xspace  > 40}{\ensuremath  {\SI@fstyle  {G}}\ensuremath  {\SI@fstyle  {e\kern -0.05ex\ensuremath  {\SI@fstyle  {V}}}}}$.\relax }}{62}{figure.caption.70}}
\newlabel{fig:triggerEffTrailing}{{5.6}{62}{Efficiency of the trailing lepton legs of the dilepton trigger measured on a sample of data events selected with single lepton triggers as a function of the \pt of the trailing lepton. The asymptotic efficiency with its statistical uncertainties are determined by fitting a constant in the range $\unit {\pt > 40}{\giga \electronvolt }$.\relax }{figure.caption.70}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.7}{\ignorespaces Dependencies of \ensuremath  {R_\mathrm  {T}}\xspace  on \ensuremath  {m_{\ell \ell }}\xspace  (top), \ensuremath  {E_{\mathrm  {T}}^{\mathrm  {miss}}}\xspace  (middle), and \ensuremath  {N_\text  {Jets}}\xspace  (bottom) for the central (left) and forward (right) lepton selection. The $\alpha _{\mathrm  {T}}$ triggers are used as baseline trigger to select the events. The results on data are shown in black. The central value is shown as a black dashed line while the systematic uncertainty is shown as an orange band.\relax }}{63}{figure.caption.71}}
\newlabel{fig:RTDependencies}{{5.7}{63}{Dependencies of \RT on \mll (top), \MET (middle), and \njets (bottom) for the central (left) and forward (right) lepton selection. The $\alpha _{\mathrm {T}}$ triggers are used as baseline trigger to select the events. The results on data are shown in black. The central value is shown as a black dashed line while the systematic uncertainty is shown as an orange band.\relax }{figure.caption.71}{}}
\@writefile{toc}{\contentsline {subsubsection}{\nonumberline Results of the factorisation method}{64}{section*.72}}
\@writefile{lof}{\contentsline {figure}{\numberline {5.8}{\ignorespaces Dependency of \ensuremath  {R_{\text  {SF/OF}}}\xspace  on \ensuremath  {r_{\mu e}}\xspace  in the factorisation method. The measured central values of \ensuremath  {R_{\text  {SF/OF}}}\xspace  and \ensuremath  {r_{\mu e}}\xspace  and their uncertainty are shown as the blue and green lines and bands. The red line illustrates the value of \ensuremath  {R_{\text  {SF/OF}}}\xspace  for a given \ensuremath  {r_{\mu e}}\xspace  if \ensuremath  {R_\mathrm  {T}}\xspace  is kept constant. The impact of a variation of \ensuremath  {R_\mathrm  {T}}\xspace  within its uncertainties on \ensuremath  {R_{\text  {SF/OF}}}\xspace  is shown by the dashed black lines.\relax }}{64}{figure.caption.74}}
\newlabel{fig:rmuePropaganda}{{5.8}{64}{Dependency of \Rsfof on \rmue in the factorisation method. The measured central values of \Rsfof and \rmue and their uncertainty are shown as the blue and green lines and bands. The red line illustrates the value of \Rsfof for a given \rmue if \RT is kept constant. The impact of a variation of \RT within its uncertainties on \Rsfof is shown by the dashed black lines.\relax }{figure.caption.74}{}}
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\@writefile{lot}{\contentsline {table}{\numberline {5.4}{\ignorespaces Result of the determination of \ensuremath  {R_{\text  {SF/OF}}}\xspace  , \ensuremath  {R_\text  {$ee$/OF}}\xspace  , and \ensuremath  {R_\text  {$\mu \mu $/OF}}\xspace  using the factorisation method.\relax }}{65}{table.caption.73}}
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\@writefile{lot}{\contentsline {table}{\numberline {5.6}{\ignorespaces Resulting estimates for flavour-symmetric backgrounds in data. Given is the observed event yield in \ensuremath  {e^\pm \mu ^\mp }\xspace  events and the resulting estimate after applying the correction, seperately for the SF, \ensuremath  {e^\pm e^\mp }\xspace  , and \ensuremath  {\mu ^\pm \mu ^\mp }\xspace  channels. Statistical and systematic uncertainties are given separately. Low-mass refers to $20\ensuremath  {\tmspace  +\thinmuskip {.1667em}\mathrm  {Ge\hspace  {-.08em}V}}\xspace  < \ensuremath  {m_{\ell \ell }}\xspace  < 70$\ensuremath  {\tmspace  +\thinmuskip {.1667em}\mathrm  {Ge\hspace  {-.08em}V}}\xspace  , on-\ensuremath  {\mathrm  {Z}}\xspace  to $81\ensuremath  {\tmspace  +\thinmuskip {.1667em}\mathrm  {Ge\hspace  {-.08em}V}}\xspace  < \ensuremath  {m_{\ell \ell }}\xspace  < 101$\ensuremath  {\tmspace  +\thinmuskip {.1667em}\mathrm  {Ge\hspace  {-.08em}V}}\xspace  and high-mass to $\ensuremath  {m_{\ell \ell }}\xspace  > 120$\ensuremath  {\tmspace  +\thinmuskip {.1667em}\mathrm  {Ge\hspace  {-.08em}V}}\xspace  . \relax }}{67}{table.caption.76}}
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\@writefile{lot}{\contentsline {table}{\numberline {5.9}{\ignorespaces Results of the estimation of backgrounds with non-prompt leptons in the signal region using the tight-to-loose ratios for prompt and non-prompt leptons. The total non-prompt estimate is given by the sum of the contributions for events with one or two non-prompt leptons $N_{pp}$, $N_{np}$, and $N_{pn}$.\relax }}{73}{table.caption.85}}
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\@writefile{toc}{\contentsline {section}{\numberline {5.2}Drell--Yan backgrounds}{73}{section.5.2}}
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