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4   This section presents the results of a dedicated search for the direct pair production of top squarks, based on an integrated luminosity of 9.7~fb$^{-1}$.
5   The decay of the top squark depends on the difference between its mass and that of the \lsp\ LSP,
6   $\Delta m = m_{\tilde{t}}-m_{\lsp}$. If $\Delta m > m_{t}$, the decay $\tilde{t}\to t\lsp$ is expected
7 < to have a large branching fraction. If there is a light chargino \chip, the decay
7 > to have a large branching fraction. If there is a light chargino \chipm, the decay
8   $\tilde{t}\to b\chip\to b W \lsp$ is expected to be significant, especially in the $\Delta m < m_{t}$ region.
9   The pair production of top squarks decaying to either of these channels leads to events with two b-jets, two W bosons,
10   and two LSPs. Our signal thus resembles SM $t\bar{t}$ production but with larger \met\ from
# Line 44 | Line 44 | M_T = \sqrt{ 2 p_{T}^{\ell} \met ( 1-cos
44   where $p_{T}^{\ell}$ is the lepton transverse momentum and $\Delta\phi$ is the difference in azimuthal angles between the lepton
45   and \met. This requirement strongly suppresses the background from \ttljets\ and \wjets, which have a kinematic endpoint
46   at \mt\ $=$ $M_W$ since the lepton and neutrino (which produces the \met) are produced together in the decay of the W.
47 < For signal events, as well as the \ttll\ background, the presence of more than one invisible
47 > For signal events, as well as for the \ttll\ background, the presence of more than one invisible
48   particle in the final state leads to events with \mt\ $>>$ $M_W$.
49   In addition to the \mt\ requirement, we make several
50   \met\ requirements to achieve sensitivity to signals with different mass spectra.
# Line 57 | Line 57 | is a hadronic $\tau$ decaying to a singl
57   requirements. The latter two categories are suppressed by vetoing events that contain, in addition to the selected lepton,
58   a charged particle with \pt\ $>$ 10 GeV that is isolated in space from other energetic charged particles. Furthermore, additional jets
59   from initial state or final state radiation (ISR/FSR) are required to satisfy the jet multiplicity requirement $n_{jets}\geq4$.
60 < To validate and correct the MC modeling of jets from radiation, the MC is compared to data in a dilepton control region dominated by \ttll. The MC distribution of $n_{jets}$ is reweighted to
61 < match the corresponding data distribution, resulting in corrections of (1--7)\%.
60 > To validate and correct the MC modeling of jets from radiation, the MC is compared to data in a dilepton control region dominated by \ttll.
61 > The MC distribution of $n_{jets}$ is reweighted to match the corresponding data distribution, resulting in small corrections of (1--7)\%.
62  
63   The SM backgrounds are estimated from events simulated with Monte Carlo (MC) techniques, which are validated and
64   (if necessary) corrected using comparisons to data in control regions. The MC expectation is normalized to data in the \mt\ peak region,
# Line 74 | Line 74 | the data control samples used for these
74   %\subsection{Results}
75  
76   The results of the search are summarized in Table~\ref{tab:stop}, which displays the SM background expectations and the observed data yields
77 < in the signal regions. The distribution of \met\ after the requirement \mt\ $>$ 120 GeV for the SM background expectations is compared to
78 < data in Fig.~\ref{fig:stop}. Good agreement between the data and the expected background is observed. We find no evidence
77 > in the signal regions. The distribution of \met\ after the requirement \mt\ $>$ 120 GeV is displayed in Fig.~\ref{fig:stop}.
78 > Good agreement between the data and the expected background is observed. We find no evidence
79   for the pair production of top squarks.
80  
81   \begin{figure}
# Line 98 | Line 98 | Two example signal models are also indic
98   %We consider $x=0.5$ and $x=0.75$ (we do not have sensitivity to the $x=0.25$ scenario).
99  
100   To interpret the results of our search, we consider top squark pair production where both top squarks decay according to
101 < $\tilde{t}\to t\lsp$ as depicted in Fig.~\ref{fig:diagrams}(a).
101 > $\tilde{t}\to t\lsp$, in Fig.~\ref{fig:stop_interpretation}.
102   The model is parameterized by the masses of the top squark and \lsp. We place upper limits on the signal
103   production cross section using, for each model point in the 2-dimensional parameter space, the signal region with the best expected
104   sensitivity. A region of the parameter space is excluded by comparing these cross section upper limits with the theoretical predictions
# Line 109 | Line 109 | for the signal cross section.
109   Our results probe top squarks with masses up to 430 GeV. For comparison, the requirement that SUSY
110   provides a natural solution to the hierarchy problem suggests top squarks with masses not exceeding 500--700 GeV~\cite{ref:naturalsusy}.
111   We also interpret our results assuming the top squark decays according to $\tilde{t}\to b\chip\to b W \lsp$,
112 < as depicted in Fig.~\ref{fig:diagrams}(b)~\cite{ref:stop}.
112 > as depicted in Fig.~\ref{fig:diagrams}(b); see Ref.~\cite{ref:stop}.
113  
114   The ATLAS experiment has presented a similar search for top squark pairs in the single lepton final state~\cite{ref:atlasstop}.
115   The constraints from ATLAS on the top squark mass are more stringent than those presented here. The ATLAS model assumes large

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