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\section{Interpretation} |
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\label{sec:interpretation} |
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The results of this search will be interpreted in the context of simplified model spectra (SMS). |
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For the inclusive analysis, we will use the T5zz model depicted in Fig.~\ref{fig:diagrams} (left). |
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For the targeted analysis, we will use the TChiWZ model depicted in Fig.~\ref{fig:diagrams} (right), |
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and a GMSB model which produces a signature of \zzmet. |
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{\bf All results in this section correspond to 9.2 fb$^{-1}$ results and will be updated later.} |
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In this section, we interpret the results of the targeted search in the context of the \wzmet\ model depicted in Fig.~\ref{fig:diagrams} (right) |
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and a gauge-mediated SUSY breaking (GMSB) model that produces a signature of \zzmet\ will be added. The results of the targeted search presented here |
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will be combined with those of the trilepton ewkino search for the final \wzmet\ interpretation, and with the quadlepton ewkino search |
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for the final GMSB \zzmet\ interpretation. |
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The exclusion is performed using the results of simultaneous counting experiments in the five exclusive \MET\ signal regions defined by \MET\ $>$ 80 GeV, |
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as summarized in Table~\ref{tab:results_targ} (commonly referred to as a ``shape analysis''). |
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The upper limit calculation is performed with the LandS software using the LHC-type CLs criterion. |
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The signal efficiency uncertainties include the luminosity (4.4\%), acceptance for the b-jet veto (4\%), lepton ID and isolation efficiency (2\% per lepton), |
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and trigger efficiency (3\%). The uncertainty from JES is determined following the POG-recommended procedure, by varying the jet energies by the |
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\pt- and $\eta$-dependent uncertainties and propagating this to the jet multiplicity, dijet mass, and \MET. |
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The background uncertainties are quoted in Table~\ref{tab:results_targ}. For each background contribution, the uncertainty is assumed to be 100\% |
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correlated across all signal regions. |
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For the \wzmet\ model, the signal efficiency times acceptance and cross section upper limits are displayed in Fig.~\ref{fig:results_wzmet}, |
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along with the observed and expected exclusion contours, which are compared to the 2011 observed exclusion contour. |
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Figure~\ref{fig:results_wzmetpoints} shows the excluded points used to derive the exclusion contours. We note that the map of exclusion |
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contours appears quite ragged since for many of the points the cross section upper limit is very close to the theory cross section. |
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Therefore we do not expect the ragged exclusion region to be an issue for the final results since |
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we currently have 9.2 fb$^{-1}$ and expect the luminosity to increase significantly. A {\bf VERY APPROXIMATE} projection of the expected excluded region |
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for an integrated luminosity of 15 fb$^{-1}$ (a rough guess at the final HCP data sample) is obtained by scaling the expected cross section limits by |
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$\sqrt{(9.2 \rm{fb}^{-1})/(15 \rm{fb}^{-1})}$, as displayed in Fig.~\ref{fig:results_15fb}. |
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\begin{figure}[!ht] |
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\begin{center} |
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\begin{tabular}{cc} |
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\includegraphics[width=0.45\textwidth]{plots/wzsms_eff.pdf} |
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\includegraphics[width=0.45\textwidth]{plots/wzsms_xsec.pdf} |
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\end{tabular} |
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\caption{ Interpretation of the targeted analysis in the \wzmet\ model. The acceptance times efficiency (left) and cross section |
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upper limit (right) are displayed. The observed and expected exclusion contours are indicated and compared to the observed |
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exclusion from the 2011 analysis. |
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%\newline |
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%Interpretation of the $\rm{Z}+\rm{dijet}$ analysis in the \wzmet\ model of Fig.~2(a). |
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%The shading indicates the cross section upper limit. The observed and expected exclusion contours are indicated and compared to the observed |
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%exclusion from the 2011 analysis. The region below the contours is excluded at 95\% confidence level. |
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\label{fig:results_wzmet}} |
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\end{center} |
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\end{figure} |
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\begin{figure}[!hb] |
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\begin{center} |
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\includegraphics[width=0.75\textwidth]{plots/wzsms_points.pdf} |
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\caption{ Observed (left) and expected (right) excluded points for the \wzmet\ interpretation, with the corresponding exclusion contours overlaid. |
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\label{fig:results_wzmetpoints}} |
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\end{center} |
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\end{figure} |
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|
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\clearpage |
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|
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\begin{figure}[!ht] |
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\begin{center} |
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\includegraphics[width=0.5\textwidth]{plots/wzsms_expected_15fb.pdf} |
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\caption{ A {\bf VERY APPROXIMATE} projection of the expected excluded points for an integrated luminosity of 15$^{-1}$. |
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\label{fig:results_15fb}} |
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\end{center} |
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\end{figure} |
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The results of the interpretation in the GMSB \zzmet\ model are displayed in Fig.~\ref{fig:results_gmsb}, |
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as a function of the chargino and neutralino mass parameter $\mu$. These results exclude the range $196 < \mu < 316$~GeV. |
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\begin{figure}[!hb] |
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\begin{center} |
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\includegraphics[width=0.5\textwidth]{plots/ZDIJET_GMSB.pdf} |
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\caption{ Interpretation of the targeted analysis in the GMSB \zzmet\ model. |
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%\newline |
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%Interpretation of the $\rm{Z}+\rm{dijet}$ analysis in the GMSB model discussed in the text. |
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%The observed and expected cross section upper limits are indicated as a function of the mass parameter $\mu$, and are compared to the theory |
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%cross section. The region $196 < \mu < 316$~GeV is excluded at 95\% confidence level. |
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\label{fig:results_gmsb}} |
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\end{center} |
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\end{figure} |
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\begin{table}[htb] |
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\begin{center} |
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\footnotesize |
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\caption{\label{tab:gmsb} Summary of the parameters for the GMSB model used for the \zzmet\ interpretation. |
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The masses of the lightest and second light neutralino, lightest chargino, and total next-to-leading order |
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cross section, are indicated.} |
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\begin{tabular}{l|cccc} |
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\hline |
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\hline |
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$\mu$ [GeV] & $m_{\chizi}$ [GeV] & $m_{\chizii}$ [GeV] & $m_{\chipm}$ [GeV] & $\sigma_{\mathrm{NLO}}$ [pb] \\ |
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%$\mu$ [GeV] & $m_{\chizi}$ [GeV] & & & \\ |
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\hline |
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%110 & 102 & 111 & 104 & 7.3 \\ |
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130 & 122 & 131 & 124 & 3.8 \\ |
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150 & 141 & 151 & 144 & 2.1 \\ |
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170 & 161 & 171 & 164 & 1.3 \\ |
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190 & 181 & 191 & 184 & 0.84 \\ |
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210 & 201 & 211 & 203 & 0.56 \\ |
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230 & 221 & 231 & 223 & 0.38 \\ |
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250 & 240 & 251 & 243 & 0.27 \\ |
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270 & 260 & 271 & 263 & 0.20 \\ |
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290 & 280 & 291 & 283 & 0.14 \\ |
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310 & 299 & 311 & 302 & 0.11 \\ |
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330 & 319 & 331 & 322 & 0.080 \\ |
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350 & 339 & 351 & 342 & 0.061 \\ |
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370 & 358 & 371 & 362 & 0.047 \\ |
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390 & 378 & 391 & 381 & 0.037 \\ |
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410 & 398 & 411 & 401 & 0.029 \\ |
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\hline |
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\hline |
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\end{tabular} |
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\end{center} |
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\end{table} |
