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root/cvsroot/UserCode/benhoob/cmsnotes/StopSearch/introduction.tex
Revision: 1.3
Committed: Wed Jun 27 15:40:20 2012 UTC (12 years, 10 months ago) by vimartin
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add section on single lepton background estimate

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# Content
1
2 This note presents a search for the production of supersymmetric (SUSY) stop quark pairs in events with a
3 single isolated lepton, several jets, missing transverse energy, and large transverse mass. We use the full
4 2011 data sample, corresponding to an integrated luminosity of \lumi.
5 This search is of theoretical interest because of the critical role played
6 by the stop quark in solving the hierarchy problem in SUSY models. This solution requires that the stop quark
7 be light, less than a few hundred GeV and hence within reach for direct pair production. We focus on two decay modes
8 $\tilde{t}\rightarrow t\chi^0_1$ and $\tilde{t}\rightarrow b \chi^+_1$ which are expected
9 to have large branching fractions if they are kinematically accessible, leading to:
10
11 \begin{itemize}
12 \item $pp\rightarrow\tilde{t}\bar{\tilde{t}}\rightarrow t\bar{t}\chi^0_1\chi^0_1$, and
13 \item $pp\rightarrow\tilde{t}\bar{\tilde{t}}\rightarrow b\bar{b}\chi^+_1\chi^-_1 \rightarrow b\bar{b}W^+W^-\chi^0_1\chi^0_1$.
14 \end{itemize}
15
16 Both of these signatures contain high transverse momentum (\pt) jets including two b-jets, and missing transverse
17 energy (\met) due to the invisible $\chi^0_1$ lightest SUSY particles (LSP's). In addition, the presence of
18 two W bosons leads to a large branching fraction to the single lepton final state. Hence we require the presence
19 of exactly one isolated, high \pt electron or muon, which provides significant suppression of several backgrounds
20 that are present in the all-hadronic channel. The largest backgrounds for this signature are semi-leptonic \ttbar\
21 and \wjets. These backgrounds contain a single leptonically-decaying W boson, and the transverse mass (\mt)
22 of the lepton-neutrino system has a kinematic endpoint requiring \mt $<$ $M_W$. For signal stop quark events,
23 the presence additional LSP's in the final states allows the \mt to exceed $M_W$. Hence we search for an excess
24 of events with large \mt. The dominant background in this kinematic region is dilepton \ttbar\ where one of the
25 leptons is not identified, since the presence of two neutrinos from leptonically-decaying W bosons allows the
26 \mt\ to exceed $M_W$. Backgrounds are estimated from Monte Carlo (MC) simulation, with careful validation
27 and determination of scale factors and corresponding uncertainties based on data control samples.
28
29 The expected stop quark pair production cross section (see Fig.~\ref{fig:stopxsec}) varies between O(10) pb
30 for $m_{\tilde{t}}=200$~GeV and O(0.01) pb for $m_{\tilde{t}}=500$~GeV. The critical challenge of this analysis
31 is due to the fact that for light stop quarks with a mass close to the top quark, the production cross section is
32 large but the kinematic distributions, in particular \mt, are very similar to SM \ttbar\ production, such that it becomes very
33 difficult to distinguish the signal and background. For large stop quark mass the kinematic distributions differ
34 from those in SM \ttbar\ production, but the cross section decreases rapidly, reducing the signal-to-background
35 ratio.
36
37 \begin{figure}[hbt]
38 \begin{center}
39 \includegraphics[width=0.5\linewidth]{plots/total_scale_pdf_LHC.eps}
40 \caption{
41 \label{fig:stopxsec}\protect
42 The stop quark pair production cross section in pb, as a function of the stop quark mass.}
43 \end{center}
44 \end{figure}
45