Abstract
We analyze the events with two same-flavor, $\mathrm{o}\mathrm{p}\mathrm{p}\mathrm{o}\mathrm{s}\mathrm{i}\mathrm{t}\mathrm{e}\ensuremath{-}\mathrm{s}\mathrm{i}\mathrm{g}\mathrm{n}\mathrm{}\mathrm{leptons}{+E}_{T}^{\mathrm{miss}}+(\mathrm{jets})$ as expected in $\mathrm{pp}$ collisions at the CERN LHC within the framework of the minimal supergravity model. The objective is the determination of the parameters ${m}_{0}$ and ${m}_{1/2}$ of this model (for a given value of $\mathrm{tan}\ensuremath{\beta}$). The signature ${l}^{+}{l}^{\ensuremath{-}}{+E}_{T}^{\mathrm{miss}}+(\mathrm{jets})$ selects the leptonic decays ${\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\chi}}}_{2}^{0}\ensuremath{\rightarrow}{\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\chi}}}_{1}^{0}{l}^{+}{l}^{\ensuremath{-}},$ ${\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\chi}}}_{2}^{0}\ensuremath{\rightarrow}{l}_{L,R}^{\ifmmode\pm\else\textpm\fi{}}{l}^{\ensuremath{\mp}}\ensuremath{\rightarrow}{\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\chi}}}_{1}^{0}{l}^{+}{l}^{\ensuremath{-}}$ of ${\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\chi}}}_{2}^{0},$ produced in $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{g}/\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{q}$ decays. We exploit the fact that the invariant dilepton mass distribution has a pronounced structure with a sharp edge at the kinematical end point even in such an inclusive final state over a significant part of parameter space. We determine the domain of parameter space where the edge is expected to be visible. We show that a measurement of this edge already constrains the model parameters essentially to three lines in the ${(m}_{0}{,m}_{1/2})$ parameter plane. We work out a strategy to discriminate between the three-body leptonic decays of ${\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\chi}}}_{2}^{0}$ and the decays into sleptons ${l}_{L,R}.$ This procedure may make it possible to get information on SUSY particle masses already with low luminosity, ${\mathcal{L}}_{\mathrm{int}}{=10}^{3}{\mathrm{pb}}^{\mathrm{\ensuremath{-}}1}.$
Highlights
If ’low-energy’ supersymmetry (SUSY) is realised in Nature it should show up at theLarge Hadron Collider (LHC)
It was shown within the minimal supergravity [7] model that sleptons in the mass range of ∼ 100 to 400 GeV can be detected at LHC by investigating the signature two leptons + ETmiss + no jets
The charginos and neutralinos, can in turn be produced directly or come from gluinos and/or squarks. This leads to final states with ≥ 2 leptons + ETmiss +. This indirect slepton production through g, qdecays has the largest cross-section in a sizable region of the parameter space accessible at LHC and could allow sleptons to be already revealed at Lint = 103 pb−1, i.e. simultaneously with strongly interacting sparticles
Summary
If ’low-energy’ supersymmetry (SUSY) is realised in Nature it should show up at the. Large Hadron Collider (LHC). In a recent paper [6] It was shown within the minimal supergravity (mSUGRA) [7] model that sleptons in the mass range of ∼ 100 to 400 GeV can be detected at LHC by investigating the signature two leptons + ETmiss + no jets. This final state where direct production (DrellYan) of sleptons predominates requires high luminosity, Lint = 105 pb−1. The charginos and neutralinos, can in turn be produced directly or come from gluinos and/or squarks This leads to final states with ≥ 2 leptons + ETmiss + (jets). We will discuss a method, based on the analysis of the Ml+l− spectrum, to find out whether the observed edge is due to the two-body or three-body decays of χ02
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