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1 benhoob 1.1 \section{Introduction}
2     \label{sec:intro}
3    
4     In this paper we describe a search for physics beyond the standard model (BSM)
5     in a sample of proton-proton collisions at a centre-of-mass energy of 7~TeV.
6     The data sample was collected with the Compact Muon Solenoid (CMS) detector~\cite{JINST} at
7     the Large Hadron Collider (LHC) in 2011
8     and corresponds to an integrated luminosity of \lumifinal.
9     This is an update of a previous analysis performed with a data sample of 34~pb$^{-1}$
10     collected in 2010~\cite{ref:ospaper}.
11    
12     The BSM signature in this search is motivated by three general considerations.
13     First, new particles predicted by BSM
14     physics scenarios are expected to be heavy, since they have so far eluded detection.
15     Second, BSM physics signals with high
16     enough cross sections to be observed in our current dataset are expected to be
17     produced strongly, resulting in significant hadronic activity.
18     Third, astrophysical evidence for
19     dark matter suggests~\cite{ref:DM,ref:DM2} that the mass of weakly-interacting
20     massive particles is of the order of the electroweak symmetry breaking
21     scale. Such particles, if produced in pp collisions, could escape detection and give rise to
22     an apparent imbalance in the event transverse energy. We therefore focus on the
23     region of high missing transverse energy (\MET). An example of a specific BSM scenario is
24     provided by R-parity conserving supersymmetric (SUSY) models in which
25     new, heavy particles are pair-produced and subsequently undergo
26     cascade decays, producing hadronic jets and
27     leptons~\cite{Martin:fk,susy1,susy2,susy3,susy4,susy5,susy6}.
28     These cascade decays may terminate in the
29     production of weakly-interacting massive particles, resulting in large \MET.
30    
31     The results reported in this paper are part of a broad program of BSM searches
32     in events with jets and \MET, characterized by the number and
33     type of leptons in the final state.
34     Here we describe a search for events containing opposite-sign isolated
35     lepton pairs ($e^+e^-$, $e^{\pm}\mu^{\mp}$, $\mu^+\mu^-$) in addition to the jets
36     and \MET. Results from complementary searches with different final states have
37     already been reported in Ref.~\cite{ref:RA1} {\bf ADD MORE REFS HERE}.
38    
39     Our analysis strategy is as follows. In order to select dilepton events, we
40 benhoob 1.2 use high \pt\ dilepton triggers and a preselection based
41 benhoob 1.1 on that of the $t\bar{t}$ cross section measurement in the dilepton channel~\cite{ref:top}.
42     %, which used a data sample corresponding to an integrated luminosity of 3.1\pbinv.
43     Good agreement is found between this
44     data sample and predictions from SM Monte Carlo (MC) simulations in terms of the event yields
45     and shapes of various kinematic distributions.
46     We search for a kinematic edge in the dilepton mass distribution, which is a characteristic
47     feature of SUSY models in which the opposite-sign leptons are produced via the decay
48     $\chi_2^0 \to \chi_1^0 \ell^+\ell^-$.
49     Because BSM physics is expected to have large hadronic activity and \MET\ as discussed
50     above, we proceed to define 2 signal regions
51     with requirements on these quantities to select about 0.1\%
52     of dilepton $t\bar{t}$ events, as predicted by MC.
53     The observed event yields in the signal regions are compared with the predictions from two
54     independent background estimation techniques based on data control samples,
55     as well as with SM and BSM MC expectations.
56    
57     %The search is not optimized in the context of any particular BSM physics, e.g. specific SUSY model.
58     No specific BSM physics scenario, e.g.\ a particular SUSY model, has been used to optimize the search.
59     In order to illustrate the sensitivity of the search, a simplified and practical model of
60     SUSY breaking, the constrained minimal supersymmetric
61     extension of the standard model (CMSSM)~\cite{CMSSM,CMSSM2}, is used. The CMSSM is described by
62     five parameters: the universal scalar and gaugino mass parameters ($m_0$ and $m_{1/2}$, respectively),
63     the universal trilinear soft SUSY breaking parameter $A_0$, the
64     ratio of the vacuum expectation values of the two Higgs doublets ($\tan\beta$), and the sign of the
65     Higgs mixing parameter $\mu$.
66     Throughout the paper, two CMSSM parameter sets, referred
67     to as LM1 and LM3~\cite{TDR}, are used to illustrate possible CMSSM yields. The parameter values
68     defining LM1 (LM3) are $m_0 = 60~(330) \GeVcc$, $m_{1/2} = 250~(240) \GeVcc$, $\tan\beta = 10~(20)\GeV$;
69     both LM1 and LM3 have $A_0 = 0$ and $\mu > 0$. These two scenarios are beyond the exclusion reach
70     of previous searches performed at the Tevatron and LEP. The LM1 scenario was recently excluded
71     by a search performed at CMS in events with jets and \MET~\cite{ref:RA1}.
72     In this analysis, the LM1 and LM3 scenarios serve as benchmarks which
73     may be used to allow comparison of the sensitivity with other analyses.
74    
75    
76     %In the Standard Model (SM), the main sources of isolated dileptons are Drell-Yan production
77     %($q\bar q$ annihilation into a virtual photon or a $Z$) and $t\bar{t}$ production.
78     %In this search we exclude lepton pairs with invariant mass consistent with a $Z$ boson,
79     %leaving $t\bar{t}$ as the dominant SM background. A separate search for BSM physics in the
80     %$Z+\textrm{jets}$ sample will be described in a forthcoming paper.