Information Common To All Plots
ρ is calculated using k_{t} R=0.4 jets reconstructed from locally calibrated (LCW) topoclusters within η<2. The density calculation is with respect to the Voronoi area of the jets as defined in JHEP 0804 (2008) 005. Topoclusters are an attempt to reconstruct threedimensional energy deposits in the calorimeter and are built using a nearestneighbor algorithm that clusters calorimeter cells with energy significance (E_{cell}/σ) >4 for the seed, >2 for neighbors, and >0 at the boundary. E_{cell} is calibrated using informaton derived from test beam and detailed GEANT4 simulatons (EM scale) and σ is the sum in quadrature of the electronic and expected pileup noise, as described in Sec. 10.5.2 of JINST 3 (2008) S08003. Topoclusters can be further calibrated using local information (LCW) as described in Nucl. Instrum. Meth. A 531 (2004) 481. The value of the pileup noise (σ_{noise}^{pileup}) used in the topoclustering is optimized for each value of pileup. Pileup is simulated by overlaying GEANT4 simulated events from PYTHIA (v6.4) including nondiffractive and diffractive events.
Trimming is implemented (as in arXiv:1306.4945) by reclustering the jet into subjets of radius R=0.3. The clusters belonging to subjets that carry at least 5% of the original jet p_{T} are kept, and those clusters in subjets with less than 5% of the original jet p_{T} are discarded.
The anti‐k_{t} R=1.0 jet
mass distribution in dijet events where the mean number of
interactions per bunch crossing (<μ>) is 40, 80, 140, and 200.
Four measurements are shown for each value of <μ>. The open
circles represent ungroomed jets with no correction for pileup. The
closed black circles represent ungroomed jets after correcting the jet
4vector using the eventbyevent median p_{T} density (ρ)
and the jet area. The open (closed) squares represent trimmed jets
before (after) pileup correction. When both trimming and the 4vector
pileup correction are applied (closed squares) the pileup correction
is made to the subjets only, before their p_{T} fraction is
calculated. After 4vector jet pileup correction, a fraction of jets
can acquire negative mass; this is understood in terms of local
fluctuations in the p_{T} density that result in an
overcorrection.

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The anti‐k_{t} R=1.0 jet
mass distribution in Z′→ttbar events where the mean number of
interactions per bunch crossing (<μ>) is 40, 80, 140, and 200.
Four measurements are shown for each value of <μ>. The open
circles represent ungroomed jets with no correction for pileup. The
closed black circles represent ungroomed jets after correcting the jet
4vector using the eventbyevent median p_{T} density (ρ)
and the jet area. The open (closed) squares represent trimmed jets
before (after) pileup correction. When both trimming and the 4vector
pileup correction are applied (closed squares) the pileup correction
is made to the subjets only, before their p_{T} fraction is
calculated. After 4vector jet pileup correction, a fraction of jets
can acquire negative mass; this is understood in terms of local
fluctuations in the p_{T} density that result in an
overcorrection.

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The anti‐k_{t} R=1.0 jet mass distribution in dijet events where the mean number of interactions per bunch crossing (<μ>) is 40, 80, 140, and 200. Four measurements are shown: ungroomed jets with no correction for pileup, ungroomed jets after correcting the jet 4vector using the eventbyevent median p_{T} density (ρ) and the jet area, trimmed jets before pileup correction, and jets after both trimming and the 4vector pileup correction are applied. The pileup correction is made to the subjets only, before their p_{T} fraction is calculated. After 4vector jet pileup correction, a fraction of jets can acquire negative mass; this is understood in terms of local fluctuations in the p_{T} density that results in an over correction. The shape of the mass distribution is clearly dependent on <μ>, even after trimming. When both trimming and jet 4vector pileup subtraction are applied, the jet mass distribution is stable even at <μ>=200. 
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The anti‐k_{t} R=1.0 jet mass distribution in Z′→ttbar events where the mean number of interactions per bunch crossing (<μ>) is 40, 80, 140, and 200. Four measurements are shown: ungroomed jets with no correction for pileup, ungroomed jets after correcting the jet 4vector using the eventbyevent median p_{T} density (ρ) and the jet area, trimmed jets before pileup correction, and jets after both trimming and the 4vector pileup correction are applied. The pileup correction is made to the subjets only, before their p_{T} fraction is calculated. After 4vector jet pileup correction, a fraction of jets can acquire negative mass; this is understood in terms of local fluctuations in the p_{T} density that results in an over correction. The shape of the mass distribution is clearly dependent on <μ>, even after trimming. When both trimming and jet 4vector pileup subtraction are applied, the jet mass distribution is stable even at <μ>=200. 
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The anti‐k_{t} As above, but adding the <μ>=0 results. 
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The mean of the antik_{t} R=1.0 jet mass distribution as a function of the number of truth vertices (N_{vtx}) in dijet events where the mean number of interactions per bunch crossing (<μ>) is 40, 80, 140, and 200. Four measurements are shown for each value of <μ>; the open circles represent ungroomed jets with no correction for pileup. The closed black circles represent ungroomed jets after correcting the jet 4vector using the eventbyevent median p_{T} density (ρ) and the jet area. The open (closed) squares represent trimmed jets before (after) pileup correction. When both trimming and the 4vector pileup correction are applied (closed squares) the pileup correction is made to the subjets only, before their p_{T} fraction is calculated. The mean of the jet mass is calculated using only jets with positive mass. Both trimming and the jet 4vector pileup correction remove the <μ>dependence on the mean mass up to <μ>=140. At <μ>=200, trimming alone is not sufficient to remove the <μ>‐dependence entirely.

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The mean of the antik_{t} R=1.0 jet mass distribution as a function of the number of truth vertices (N_{vtx}) in Z′→ttbar events where the mean number of interactions per bunch crossing (<μ>) is 40, 80, 140, and 200. Four measurements are shown for each value of <μ>; the open circles represent ungroomed jets with no correction for pileup. The closed black circles represent ungroomed jets after correcting the jet 4vector using the eventbyevent median p_{T} density (ρ) and the jet area. The open (closed) squares represent trimmed jets before (after) pileup correction. When both trimming and the 4vector pileup correction are applied (closed squares) the pileup correction is made to the subjets only, before their p_{T} fraction is calculated. The mean of the jet mass is calculated using only jets with positive mass. Both trimming and the jet 4vector pileup correction remove the <μ>dependence on the mean mass up to <μ>=140. At <μ>=200, trimming alone is not sufficient to remove the <μ>‐dependence entirely.

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The mean of the antik_{t} R=1.0 jet mass distribution as a function of the number of truth vertices (N_{vtx}) in dijet events for different values of the mean number of interactions per bunch crossing (<μ>). The open (closed) markers represent jets before (after) application of the jet 4vector pileup correction using the eventbyevent median p_{T} density (ρ) and the jet area. Three different values of the pileup noise (σ_{noise}^{pileup}) are considered, with the circles corresponding to the optimized value for each value of <μ>. The mean of the jet mass is calculated using only jets with positive mass. Raising σ_{noise}^{pileup} used in topoclustering reduces the mean vlaue of the jet mass, but does not affect the dependence on N_{vtx}; this dependence is, however, removed entirely with the application of the jet 4vector pileup correction. In the case of trimmed jets, the variation of σ_{noise}^{pileup} has a negligible effect on the mean jet mass; both trimming and increasing σ_{noise}^{pileup} have the effect of excluding soft radiation from the jet.

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The mean of the antik_{t} R=1.0 jet mass distribution as a function of the number of truth vertices (N_{vtx}) in Z′→ttbar events for different values of the mean number of interactions per bunch crossing (<μ>). The open (closed) markers represent jets before (after) application of the jet 4vector pileup correction using the eventbyevent median p_{T} density (ρ) and the jet area. Three different values of the pileup noise (σ_{noise}^{pileup}) are considered, with the circles corresponding to the optimized value for each value of <μ>. The mean of the jet mass is calculated using only jets with positive mass. Raising σ_{noise}^{pileup} used in topoclustering reduces the mean vlaue of the jet mass, but does not affect the dependence on N_{vtx}; this dependence is, however, removed entirely with the application of the jet 4vector pileup correction. In the case of trimmed jets, the variation of σ_{noise}^{pileup} has a negligible effect on the mean jet mass; both trimming and increasing σ_{noise}^{pileup} have the effect of excluding soft radiation from the jet.

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Major updates:
 MichaelBegel  29Jul2013
Responsible: MichaelBegel
Subject: public