Distributions of the LCW-scale per-event median p_{T} density ρ (based on topological clusters with |η| < 2) for four representative values of the reconstructed primary vertex multiplicity N_{PV}. Events with the same number of vertices may have widely varying levels of pile-up activity in the calorimeter, as measured by ρ. The use of ρ instead of N_{PV} in the pile-up correction therefore results in significantly reduced fluctuations, or improved energy resolution.
| [eps] |

RMS width of the distribution of p_{T}^{reco} − p_{T}^{true} for anti-k_{t} R=0.6 jets matched to truth jets (20 < p_{T}^{true} < 30 GeV), with no jet energy scale correction, before and after two pile-up subtraction methods. The RMS is presented as a function of pseudorapidity for 25 ≤ <μ> < 35. Subtraction of ρ⋅Area results in more than 10% improvement in the RMS, as compared to the average pile-up subtraction parameterized by <μ> and N_{PV}. However, a large fraction of the resolution degradation due to pile-up remains.
| [eps] |

RMS width of the distribution of p_{T}^{reco} − p_{T}^{true} for anti-k_{t} R=0.6 jets matched to truth jets (20 < p_{T}^{true} < 30 GeV), with no jet energy scale correction, before and after two pile-up subtraction methods. The RMS is presented as a function of <μ> for |η| < 2.4. Subtraction of ρ⋅Area results in more than 10% improvement in the RMS, as compared to the average pile-up subtraction parameterized by <μ> and N_{PV}. However, a large fraction of the resolution degradation due to pile-up remains.
| [eps] |

RMS width of the distribution of p_{T}^{reco} – p_{T}^{true} for anti-k_{t} R = 0.6 jets matched to truth jets (20 < p_{T}^{true} < 30 GeV), with no jet energy scale correction, before and after two pile-up subtraction methods. The RMS is presented as a function of pseudorapidity for 18 ≤ N_{PV} < 23 (left) and as a function of N_{PV} for |η| < 2.4 (right). While the average pile-up subtraction (parametrized by N_{PV} and <μ>) does not improve the RMS in narrow bins of N_{PV}, subtraction of ρ⋅Area does. However, a large fraction of the resolution degradation due to pile-up remains.
| [eps] |

RMS width of the distribution of p_{T}^{reco} – p_{T}^{true} for anti-k_{t} R = 0.6 jets matched to truth jets (20 < p_{T}^{true} < 30 GeV), with no jet energy scale correction, before and after two pile-up subtraction methods. The RMS is presented as a function of pseudorapidity for 18 ≤ N_{PV} < 23 (left) and as a function of N_{PV} for |η| < 2.4 (right). While the average pile-up subtraction (parametrized by N_{PV} and <μ>) does not improve the RMS in narrow bins of N_{PV}, subtraction of ρ⋅Area does. However, a large fraction of the resolution degradation due to pile-up remains.
| [eps] |

Dependence of the jet p_{T} on in-time pile-up, characterized by N_{PV} for fixed <μ>, for anti-k_{t} R=0.4 LCW jets as a function of |η|. The dependence of in-time pile-up is much reduced by subtraction of ρ⋅Area, but the dependence on out-of-time pile-up is largely unaffected. After the application of a residual correction dependent on N_{PV} and <μ>, the pile-up dependence of the jet p_{T} is consistent with zero. The shaded bands show the 68% confidence interval of a piecewise linear fit which captures the |η| dependence observed in the sensitivity of jets to pile-up.
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Dependence of the jet p_{T} on out-of-time pile-up, characterized by <μ> for fixed N_{PV}, for anti-k_{t} R=0.4 LCW jets as a function of |η|. The dependence of in-time pile-up is much reduced by subtraction of ρ⋅Area, but the dependence on out-of-time pile-up is largely unaffected. After the application of a residual correction dependent on N_{PV} and <μ>, the pile-up dependence of the jet p_{T} is consistent with zero. The shaded bands show the 68% confidence interval of a piecewise linear fit which captures the |η| dependence observed in the sensitivity of jets to pile-up.
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Mean number of pile-up jets (anti-k_{t} R=0.4) per unit pseudorapidity, in central (|η| < 2.1), intermediate (2.1 < |η| < 3.2), and forward (3.2 < |η| < 4.5) regions, as a function of <μ>. Jets were required to have p_{T} > 20 GeV after the full calibration including ρ⋅Area subtraction. The central region contains the highest density of pile-up jets, with 3 to 4 times as many as in the forward region.
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Mean jet multiplicity in Z → μμ events for anti-k_{t} R=0.4 LCW jets with p_{T} > 20 GeV before the JES correction and |η| < 2.1, as a function of the average number of interactions per bunch crossing <μ>. Before pile-up subtraction, the jet multiplicity is overestimated in simulation, due to mis-modeling of pile-up jets. Pile-up subtraction shifts most of the pile-up jets below the 20 GeV p_{T} threshold, which results in improved modeling of the jet multiplicity. The remaining pile-up jets may be rejected by using a discriminant such as the jet vertex fraction (JVF).
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Mean jet multiplicity in Z→μμ events for anti-k_{t} R=0.4 LCW+JES jets with p_{T} > 20 GeV and |η| ≤ 2.1, as a function of the average number of interactions per bunch crossing <μ>. With no cut on the jet vertex fraction (JVF) applied, the jet multiplicity is overestimated in simulation, due to mis-modeling of pile-up jets. By rejecting pile-up jets with a cut of |JVF| > 0.25 or |JVF| > 0.5, this systematic bias is effectively removed.
| [eps] |

Mean jet multiplicity in Z→μμ events for anti-k_{t} R=0.4 LCW+JES jets with p_{T} > 20 GeV and |η| ≤ 2.1, as a function of the average number of interactions per bunch crossing <μ>. With no cut on the jet vertex fraction (JVF) applied, the jet multiplicity is overestimated in simulation, due to mis-modeling of pile-up jets. By rejecting pile-up jets with a cut of |JVF| > 0.25 or |JVF| > 0.5, this systematic bias is effectively removed.
| [eps] |

Mean jet multiplicity in Z → μμ events for anti-k_{t} R=0.4 LCW+JES jets with p_{T} > 50 GeV and |η| < 2.1, as a function of the average number of interactions per bunch crossing <μ>. There is no discernable slope in either data or simulation, which illustrates that a JVF cut is not necessary for jets with p_{T} > 50 GeV.
| [eps] |

Mean jet multiplicity in Z → μμ events for anti-k_{t} R=0.4 LCW+JES jets with p_{T} > 50 GeV and |η| < 2.1, as a function of the average number of interactions per bunch crossing <μ>. JVF cuts at 0.25 and 0.5 are observed to have little effect, further illustrating that pile-up jets are negligible for p_{T} > 50 GeV.
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**Major updates**:

-- MichaelBegel - 07-Mar-2013

Responsible: MichaelBegel

Subject: public

Topic revision: r4 - 2013-04-09 - MichaelBegel

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