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