# Search for New Physics in Events with b-quark Jets and Missing Transverse Energy in Proton-Proton Collisions at 7 TeV

## Abstract

We present a search for physics beyond the standard model (SM) based on events with large missing transverse energy, at least three jets, and b-quark jets. The study is performed using 1.1 of proton-proton collisions collected at TeV with the CMS detector at the LHC. All SM backgrounds are evaluated using data-based techniques. The number of events observed is consistent with the SM expectation. We set 95% confidence level upper limits on the cross sections of simplified models in which new particles decay to two b-quark jets plus an undetected particle. We also present exclusion limits in the context of the constrained minimal supersymmetric extension of the SM.

## Approved Plots from SUS-11-006

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Figure Caption
Schematic diagram indicating the various event samples used for background evaluation. SIG refers to signal regions, SB to the sideband region 150 < MET < 200 GeV, LSB to the low-sideband region 50 < MET < 100 GeV, and LDP to the low ∆φminN region ∆φminN < 4.0. The diagram illustrates the loose selection, which requires HT > 350 GeV for all SB and SIG regions and MET > 200 GeV for the SIG regions. The tight selection is the same except with HT > 500 GeV and MET > 300 GeV, respectively. Beside the standard method to evaluate the top and W+jets background, indicated in the diagram, we have a cross-check method based on different procedures.
Distribution of MET for loose signal selections (see schematic diagram caption for details) in comparison to MC for >= 1 b-jets. The hatched bands show the statistical uncertainty on the total standard model MC prediction. Click here for the .C ROOT macro
Distribution of MET for loose signal selections (see schematic diagram caption for details) in comparison to MC for >= 2 b-jets. The hatched bands show the statistical uncertainty on the total standard model MC prediction. Click here for the .C ROOT macro
Distribution of MET for tight signal selections (see schematic diagram caption for details) in comparison to MC for >= 1 b-jets. The hatched bands show the statistical uncertainty on the total standard model MC prediction. Click here for the .C ROOT macro
Distribution of MET for tight signal selections (see schematic diagram caption for details) in comparison to MC for >= 2 b-jets. The hatched bands show the statistical uncertainty on the total standard model MC prediction. Click here for the .C ROOT macro
Illustration of variables used to calculate ∆φ_N in the case of an event with exactly three jets. The light-shaded (light gray) solid arrows show the true pT values of the three jets i, j, and k. The dark-shaded (black) solid arrows show the reconstructed jet pT values. αj and αk are the angles of jets j and k with respect to jet i. The MET for the event is shown by the dotted (red) arrow. The component of MET perpendicular to jet i, denoted T , is shown by the dotted (red) line. ∆φi is the angle between MET and jet i.
QCD MC results: The distribution of ∆φ_min in intervals of MET, for events with ≥ 1 b-jets selected with the loose criteria (see schematic diagram caption for details) Click here for the .C ROOT macro
QCD MC results: The distribution of ∆φ_N in intervals of MET, for events with ≥ 1 b-jets selected with the loose criteria (see schematic diagram caption for details) except for the requirement on ∆φ_N Click here for the .C ROOT macro
QCD MC results: Ratio of the number of events that pass the criterion ∆φ_min > 0.3 to the number that fail, for events with >=1 b-jets selected with the loose criteria (see schematic diagram caption for details) except for the requirement on ∆φ min_N Click here for the .C ROOT macro
QCD MC results: Ratio of events with ∆φ min_N > 4 to those with ∆φ min_N < 4, for events with >=1 b-jets selected with the loose criteria (see roadmap caption for details) except for the requirement on ∆φ min_N. Click here for the .C ROOT macro
QCD MC results: Ratio of events with ∆φ min_N > 4 to those with ∆φ min_N < 4, for events with zero b-jets selected with the loose criteria (see schematic diagram caption for details) except for the requirement on ∆φ min_N . Click here for the .C ROOT macro
The ratio N (∆φN ≥ 4)/N (∆φN < 4) as a function of MET for the zero b-jet sample. The histograms show the QCD MC and total SM MC predictions. The solid points show the data, collected with a pre-scaled HT trigger. Click here for the .C ROOT macro
Distribution of ∆φN in data and MC for the loose selection (see schematic diagram caption for details) with MET > 150 GeV for ≥ 1 b-jets. The hatched bands show the statistical uncertainty on the total standard model MC prediction. Click here for the .C ROOT macro
Distribution of ∆φN in data and MC for the loose selection (see schematic diagram caption for details) with MET > 150 GeV for ≥ 2 b-jets. The hatched bands show the statistical uncertainty on the total standard model MC prediction. Click here for the .C ROOT macro
HT distribution showing comparison of data and MC for reconstructed Z → e+ e− events, with loosened selection criteria (see schematic diagram caption for details) Click here for the .C ROOT macro
MET distribution showing comparison of data and MC for reconstructed Z → e+ e− events, with loosened selection criteria (see schematic diagram caption for details) Click here for the .C ROOT macro
HT distribution showing comparison of data and MC for reconstructed Z → μ+ μ− events, with loosened selection criteria (see schematic diagram caption for details) Click here for the .C ROOT macro
MET distribution showing comparison of data and MC for reconstructed Z → μ+ μ− events, with loosened selection criteria (see schematic diagram caption for details) Click here for the .C ROOT macro
Distributions of MET in data and MC for the single lepton (SL) control sample for the loose selection (see schematic diagram caption) with ≥ 1 b-jets. The hatched bands show the statistical uncertainty on the total standard model MC prediction. Click here for the .C ROOT macro
Distributions of MET in data and MC for the single lepton (SL) control sample for the loose selection (see schematic diagram caption) with ≥ 2 b-jets. The hatched bands show the statistical uncertainty on the total standard model MC prediction. Click here for the .C ROOT macro
Distributions of MET in data and MC for the single lepton (SL) control sample for the tight selection (see schematic diagram caption) with ≥ 1 b-jets. The hatched bands show the statistical uncertainty on the total standard model MC prediction. Click here for the .C ROOT macro
Distributions of MET in data and MC for the single lepton (SL) control sample for the tight selection (see schematic diagram caption) with ≥ 2 b-jets. The hatched bands show the statistical uncertainty on the total standard model MC prediction. Click here for the .C ROOT macro
Normalized distributions of MET in tt MC for the loose selection with ≥ 1 b-jets. The square (blue) symbols show the results for the signal (SIG) sample. The triangle (red) symbols show those for the single lepton (SL) control sample. The small plots below the main figures show the ratio of the SIG to SL curves. Click here for the .C ROOT macro
Normalized distributions of MET in tt MC for the loose selection with ≥ 2 b-jets. The square (blue) symbols show the results for the signal (SIG) sample. The triangle (red) symbols show those for the single lepton (SL) control sample. The small plots below the main figures show the ratio of the SIG to SL curves. Click here for the .C ROOT macro
Cross-check measurements of single-lepton backgrounds for the tight selection (see schematic diagram caption for details) with ≥ 1 b-tagged jet. Distribution of ∆θT for events in the single-lepton control sample. The points with error bars are the data, and the stacked shaded histograms are the predictions from simulated event samples. The dashed histogram shows the prediction from the simulated event samples, but requires only that the lepton be generated, not reconstructed or satisfy the selection criteria. Click here for the .C ROOT macro
Cross-check measurements of single-lepton backgrounds for the tight selection (see schematic diagram caption for details) with ≥ 1 b-tagged jet. Scale factors for the ∆θ T method. Black points with error bars indicate the nominal scale factor applied in each bin of ∆θ T , with statistical errors. The colored histograms show how the scale factors change with the application of systematic variations. Click here for the .C ROOT macro
Cross-check predictions for single-lepton top and W+jets backgrounds, starting from a single-lepton control sample. Results from applying the polarization method to data. Red histogram: data-driven prediction. Blue points with error bars: expectation from simulated event samples. Click here for the .C ROOT macro
Cross-check predictions for single-lepton top and W+jets backgrounds, starting from a single-lepton control sample. Results from applying the τ →hadrons method to data. Red histogram: data-driven prediction. Blue points with error bars: expectation from simulated event samples. Click here for the .C ROOT macro
Cross-check predictions for the SM backgrounds contributing to the signal region with the tight selection (except for the final MET requirement) and ≥ 1 b-tagged jet. Distributions of MET for the data (points with error bars) and for the predicted backgrounds based on control samples in the data (stacked histograms). The data are largely accounted for by this set of backgrounds, except at low values of MET , where the QCD contribution is significant. (The Z → νν background also contributes across the full ET range.) Click here for the .C ROOT macro
Cross-check predictions for the SM backgrounds contributing to the signal region with the tight selection (except for the final MET requirement) and ≥ 1 b-tagged jet. Distributions of MET for the data (points with error bars), simulated events (stacked histograms), and summed prediction for tt, W+jets, and single top backgrounds (dashed histogram). The summed prediction matches well with the corresponding background contribution from simulation. Click here for the .C ROOT macro
Observed 95% CL upper limits in the CMSSM m1/2 versus m0 mass plane, evaluated with the CLs method. The fixed CMSSM parameters are tan β = 40, A0 = −500, and μ > 0. Note that for the ≥ 2 b tight case, statistical fluctuations in the observed limits, combined with a conservative approach to drawing the exclusion curve, lead to a steep drop in the excluded region for m0 ≈ 800 GeV. Click here for the .C ROOT macro
Observed and expected 95% CL upper limits in the CMSSM m1/2 versus m0 mass plane for the ≥ 1 b tight selection, evaluated with the CLs method. The fixed CMSSM parameters are tan β = 40, A0 = −500, and μ > 0. The 1-standard deviation uncertainties of the expected result are also indicated. Click here for the .C ROOT macro
95% CL cross section upper limits for the T1bbbb simplified model, evaluated with the CLs method. For each point, we choose the selection that yields the best expected cross section limit, as described in the text. The contours indicate the bounds on the regions where the reference cross sections are excluded at 95% CL. Click here for the .C ROOT macro
The efficiency of the selection that provides the best expected cross section limit for the T1bbbb simplified model. Click here for the .C ROOT macro
The corresponding selection to the figure above, where “1T” and “2L” correspond to the ≥ 1 b tight and ≥ 2 b loose selections (see schematic diagram caption for details), respectively. Click here for the .C ROOT macro

## Comparison of this analysis and alpha_T analysis in CMSSM

Figure Caption
Observed and expected 95% CL exclusion contours in the CMSSM (m0,m1/2) plane (tan β = 40, A0 = -500 GeV, μ > 0) using the CLs method. The expected limits are shown with their 1 sigma error bands.
Observed 95% CL exclusion contours in the CMSSM (m0,m1/2) plane (tan β = 40, A0 = -500 GeV, μ > 0) using the CLs method.

## Re-interpretation in terms of simplified models

"Simplified models" is described here and here. The purpose is to link the LHC experiments and the theory communities interested in interpreting LHC data.

Figure Caption
Simplified model topology "T1bbbb".
Simplified model topology "T1tttt".

The above results have been re-interpreted in the context pf the gluino pair production decaying into 4 tops and 2 LSP. The same results are available in electronic formats in this T1tttt_METb.root

 95% CL cross section upper limits for the T1tttt simplified model, evaluated with the CLs method. For each point, we choose the selection that yields the best expected cross section limit, as described in the text. The contours indicate the bounds on the regions where the reference cross sections are excluded at 95% CL. The efficiency of the selection that provides the best expected cross section limit for the T1tttt simplified model. Selection that give the best expected cross section upper limit for the T1ttttt model. observed upper limit on cross section x BR as function of the gluino mass with mass(LSP) =50 GeV. The results have been compared with the results of SS dilepton analysis described in SUS-11-010

Topic attachments
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Topic revision: r13 - 2011-11-18 - MariarosariaDalfonso

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