Study of Pileup Removal Algorithms for Jets

Abstract

One of the main challenges of the upcoming LHC run will be the increase of instantaneous luminosity, which will result in a large number of additional proton-proton collisions in each event (pileup). In such a high pileup environment, the accurate reconstruction of jet properties and shapes will be more and more demanding. In this note, the performances of various advanced pileup mitigation tools such as charged hadron subtraction, grooming techniques, jet cleansing and per particle pileup approaches are studied. The focus is on preparation for LHC Run II for which we expect up to 40 additional pileup events on average and includes comparisons to LHC Run I data which has typically 20 additional pileup events on average.

Approved plots for JME-14-001

Charged Hadron Subtraction

Fig. 1 (left): Transverse momentum distribution of jets from hard scattering enriched and from a pileup enriched area in photon+jets events without (PF) and with (PF+CHS) Charged Hadron Subtraction applied. Jets are considered to be from the pileup enriched area if they are close enough to the photon (∆φ(γ, jet) < 1); on the contrary, if a jet and the photon are back to back (∆φ(γ, jet) > 3) and well balanced (pT(jet) > 0.3 pT(γ), and there is no other jet with ∆φ(γ,jet) > 3, pT > 10GeV and pT >0.2pT(γ) in the event), the jet is seen as coming from the hard scattering.
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Fig. 1 (right): Ratio of reconstructed to true particle level jet pT for PF and PF+CHS jets in the hard scatter and pileup enriched areas. The left-hand-side of an approximately Gaussian distribution is cut off by the pT(reco) > 20 GeV requirement for pT(true) peaking at low pT in the pileup enriched area. For the definition of the hard scattering and pileup enriched areas, please see Fig. 1 above.
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Fig. 2: Ratio of reconstructed jets matched to particle level jets as a function of the jet pseudorapidity (left) and jet transverse momentum (right) for jets from the hard scattering enriched and pileup enriched regions in photon+jets events. For the definition of the hard scattering and pileup enriched areas, please see Fig. 1 above. The matching requires: ∆R(gen, reco) < 0.25 between a particle level jet of pT(gen) > 10 GeV and a reconstructed jet of pT(reco) > 20 GeV. The unmatched jets typically have a high proportion of their energy from pileup and are referred to as pileup jets. This plot demonstrates the reduction in pileup jet rate after applying CHS.
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Fig. 3: Ratio as a function of η of jet rates with PF and PF+CHS for matched jets from hard scatter, matched jets from pileup enriched area and unmatched jets from pileup enriched area. For the definition of the hard scattering and pileup enriched areas, please see Fig. 1 above. The matched jets are associated with good signal jets from hard scatter, while the unmatched ones are associated with pileup. The application of CHS reduces the pileup jet rate by factor three in the tracker-covered region. The hashed areas correspond to the MC statistical uncertainty.
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Fig. 4 (left): Residual shifts ΔR(jetreco,jetgen) between reconstructed and generated jets for jets from the hard scattering enriched and pileup enriched regions in photon+jets events. For the definition of the hard scattering and pileup enriched areas, please see Fig. 1 above. Reconstructed jets are closer to the generated ones when CHS is applied.
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Fig. 4 (right): The RMS of the residual shift ΔR(jetreco,jetgen) versus number of primary vertices, for jets from the hard scattering enriched and pileup enriched regions in photon+jets events, demonstrating the relative improvement from CHS with increasing PU. For the definition of the hard scattering and pileup enriched areas, please see Fig. 1 above.
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Fig 5: (Left) Mean of (ηgen - ηreco) sign(ηgen) with respect to ηgen, showing biases generated by discontinuous pileup energy density at the tracker edge at |η ≈ 2.5 and by changes in detector granularity at |η| ≈ 3.0. (Right) Zoom into the tracker edge region showing the bias versus pT(gen) becoming negligible at high pT. For the definition of the hard scattering and pileup enriched areas, please see Fig. 1 above.
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Fig. 6 (left): Response of PF and PF+CHS jets from the hard scattering enriched region in photon+jets events computed with the Missing-ET Projection Fraction method (MPF) in data and simulation. For the definition of the hard scattering enriched region, please see Fig. 1 above. The hashed areas correspond to the MC statistical uncertainty. In simulation, 'all MC' includes the contribution from photon+jets and QCD multijets events.
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Fig. 6 (right): RMS of the jet response computed with the Missing-ET Projection Fraction method (MPF) as a function of the vertex multiplicity for PF and PF+CHS jets from the hard scattering enriched region in photon+jets events. For the definition of the hard scattering enriched region, please see Fig. 1 above. In simulation, 'all MC' includes the contribution from photon+jets and QCD multijets events.
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Grooming techniques

Fig. 7 (top): Jet mass distributions of QCD jets with pT(gen) > 300 GeV for various groomers (PF jets). The ungroomed mass distribution is shown for comparison.
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Fig. 7 (bottom): Jet mass distributions of QCD jets with pT(gen) > 300 GeV for various groomers (PF+CHS jets). The ungroomed mass distribution is shown for comparison.
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Fig. 8 (top-left and top-right): Average jet mass as a function of the reconstructed vertex multiplicity for PF jets (left) and PF+CHS jets (right) with trimming for various choices of the trimming parameters. The ungroomed average mass is reported for comparison.
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Fig. 8 (middle-left and middle-right): Average jet mass as a function of the reconstructed vertex multiplicity for PF jets (left) and PF+CHS (right) jets with pruning for various choices of the pruning parameters. The ungroomed average mass is reported for comparison.
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Fig. 8 (bottom-left and bottom-right): Average jet mass as a function of the reconstructed vertex multiplicity for PF jets (left) and PF+CHS jets (right) with soft drop for various choices of the soft drop parameters. The ungroomed average mass is reported for comparison.
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Fig. 9 (top left): Jet mass resolution as a function of the reconstructed vertex multiplicity for QCD jets with trimming for various choices of the trimming parameters. The resolution is estimated from the RMS of the mreco - mgen distribution, where mgen is the particle level groomed mass.
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Fig. 9 (middle left): Jet mass resolution as a function of the reconstructed vertex multiplicity for QCD jets with pruning for various choices of the pruning parameters. The resolution is estimated from the RMS of the mreco - mgen distribution, where mgen is the particle level groomed mass.
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Fig. 9 (bottom left): Jet mass resolution as a function of the reconstructed vertex multiplicity for QCD jets with soft drop for various choices of the soft drop parameters. The resolution is estimated from the RMS of the mreco - mgen distribution, where mgen is the particle level groomed mass.
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Fig. 9 (top right): Jet mass resolution as a function of the reconstructed vertex multiplicity for jets matched to generated W bosons from the decay of a RS Graviton to WW (mG = 1 TeV). Trimming is applied for various choices of the trimming parameters. Both the RMS and the σ from a Gaussian fit to the mreco - mgen distribution are reported.
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Fig. 9 (middle right): Jet mass resolution as a function of the reconstructed vertex multiplicity for jets matched to generated W bosons from the decay of a RS Graviton to WW (mG = 1 TeV). Pruning is applied for various choices of the pruning parameters. Both the RMS and the σ from a Gaussian fit to the mreco - mgen distribution are reported.
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Fig. 9 (middle right): Jet mass resolution as a function of the reconstructed vertex multiplicity for jets matched to generated W bosons from the decay of a RS Graviton to WW (mG = 1 TeV). Soft drop is applied for various choices of the soft drop parameters. Both the RMS and the σ from a Gaussian fit to the mreco - mgen distribution are reported.
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Fig. 10 (top): Jet mass response mreco - mgen with trimming for W jets matched to generated W bosons originating from the decay of a RS Graviton (mG = 1 TeV).
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Fig. 10 (middle): Jet mass response mreco - mgen with pruning for W jets matched to generated W bosons originating from the decay of a RS Graviton (mG = 1 TeV).
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Fig. 10 (bottom): Jet mass response mreco - mgen with soft drop for W jets matched to generated W bosons originating from the decay of a RS Graviton (mG = 1 TeV).
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Fig. 11: Comparison of the W mass resolution for W jets originating from the decay of a RS Graviton and reconstructed with PF or PF+CHS using different grooming algorithms and parameters. The resolution is estimated both from the RMS and the Gaussian σ of the mass distribution: the Gaussian σ is derived by fitting the mass distribution in a window ∆m centered on the average mass, where ∆m is equal to the RMS over the full mass range; the RMS estimator for the resolution is taken as a truncated RMS in a mass range of 3σ around the fitted mean. In the first two bins, m is the ungroomed jet mass with four-vector safe subtraction and mraw is the ungroomed and uncorrected jet mass.
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Fig. 12 (top): Jet mass distributions in data and simulation for QCD jets with trimming applied for different choices of the trimming parameters. Dijet events are required to pass the following selections: at least one jet with pT > 400 GeV, dijet invariant mass Mjj > 900 GeV and |Δηjj| < 1.2.
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Fig. 12 (bottom left): Jet mass distributions in data and simulation for QCD jets with pruning applied for different choices of the pruning parameters. Dijet events are required to pass the following selections: at least one jet with pT > 400 GeV, dijet invariant mass Mjj > 900 GeV and Δηjj < 1.2.
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Fig. 12 (bottom right): Jet mass distributions in data and simulation for QCD jets with soft drop applied for different choices of the soft drop parameters. Dijet events are required to pass the following selections: at least one jet with pT > 400 GeV, dijet invariant mass Mjj > 900 GeV and |Δηjj| < 1.2.
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PU mitigation tools

Fig. 13 (left): Leading jet pT distribution of QCD jets with 200 GeV < pT < 600 GeV. The particle level pT distribution and the distribution for jets reconstructed from PF, PF+CHS and PF+PUPPI inputs are shown.
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Fig. 13 (right): Leading jet pT response in QCD jets with 200 GeV < pT < 600 GeV.
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Fig. 14 (top left): Leading jet mass distribution in QCD multijet events for jets with 200 GeV < pT < 600 GeV.
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Fig. 14 (top right): Leading jet mass distribution for W jets originating from the decay of a RS graviton with mass = 1 TeV.
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Fig. 14 (bottom left): Leading jet mass response mreco - mgen for QCD jets with 200 GeV < pT < 600 GeV.
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Fig. 14 (bottom right): Leading jet mass response mreco - mgen for W jets originating from the decay of a RS graviton with mass = 1 TeV.
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Fig. 15: Jet mass resolution comparison for W jets originating from the decay of a RS graviton with mass = 1 TeV using different pileup mitigation algorithms; both the RMS and the σ from a gaussian fit to the distribution of the difference between reconstructed and particle level mass are reported.
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Fig. 16 (left): Mass response mreco - mgen for W jets originating from the decay of a RS graviton with mass = 1 TeV as a function of the number reconstructed vertices for different pileup mitigation techniques.
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Fig. 16 (right): Mass resolution for W jets originating from the decay of a RS graviton with mass = 1 TeV as a function of the number reconstructed vertices for different pileup mitigation techniques. The mass resolution is quoted as the RMS of the mreco - mgen distribution.
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Fig. 17 (left): Leading jet N-subjettiness τ21 distribution for QCD jets at the particle level and for various pileup mitigation techniques. The dashed histograms show the τ21 distribution after requiring the pruned jet mass to be in the range 60-100 GeV.
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Fig. 17 (right): Leading jet N-subjettiness τ21 distribution for W jets originating from the decay of a RS graviton with mass = 1 TeV at the particle level and for various pileup mitigation techniques. The dashed histograms show the τ21 distribution after requiring the pruned jet mass to be in the range 60-100 GeV. This requirement removes the contribution from unmerged W jets.
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Fig. 18: Average τ21 as a function of the number of reconstructed vertices for QCD jets.
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png pdf Fig. 19: Comparison of PF, PF+CHS and PUPPI jet mass resolution for W jets reconstructed using different grooming parameters. The resolution is evaluated from the RMS (squares) and σ (triangles) from a Gaussian fit of the mreco - mgen distribution, where for grooming results mgen is the groomed mass at the particle level. The first two bins report the resolution of the ungroomed mass and of the raw mass (i.e. ungroomed and without safe four vector subtraction).
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Fig. 20 (left): Data/MC comparison of the leading jet transverse momentum distribution in QCD high pT multijet events for PF, PF+CHS and PUPPI jets. Dijet events are required to pass the following selections: at least one jet with pT > 400 GeV, dijet invariant mass Mjj > 900 GeV and |Δηjj| < 1.2.
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Fig 20 (right): Data/MC comparison of the leading jet pseudorapidity distribution in QCD high pT multijet events for PF, PF+CHS and PUPPI jets. Dijet events are required to pass the following selections: at least one jet with pT > 400 GeV, dijet invariant mass Mjj > 900 GeV and |Δηjj| < 1.2.
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Fig. 21 (left): Data/MC comparison of the transverse momentum distribution for jets in the central pseudorapidity region in QCD multijet events for PF, PF+CHS and PUPPI jets. Only jets which are not the leading or subleading jet in the event are considered. The dashed histogram denotes the subset of jets which do not have a matching jet at particle level in the simulation and thus are categorized as pileup jets. Dijet events are required to pass the following selections: at least one jet with pT > 400 GeV, dijet invariant mass Mjj > 900 GeV and |Δηjj| < 1.2.
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Fig. 21 (right): Data/MC comparison of the transverse momentum distribution for jets in the forward pseudorapidity region in QCD multijet events for PF, PF+CHS and PUPPI jets. Only jets which are not the leading or subleading jet in the event are considered. The dashed histogram denotes the subset of jets which do not have a matching jet at particle level in the simulation and thus are categorized as pileup jets. Dijet events are required to pass the following selections: at least one jet with pT > 400 GeV, dijet invariant mass Mjj > 900 GeV and |Δηjj| < 1.2.
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Fig. 22 (left): Leading jet mass distribution in QCD multijet events for PF, PF+CHS and PUPPI jets in data and simulation. Dijet events are required to pass the following selections: at least one jet with pT > 400 GeV, dijet invariant mass Mjj > 900 GeV and |Δηjj| < 1.2.
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Fig. 22 (right): Leading jet τ2/τ1 distribution in QCD multijet events for PF, PF+CHS and PUPPI jets in data and simulation. Dijet events are required to pass the following selections: at least one jet with pT > 400 GeV, dijet invariant mass Mjj > 900 GeV and |Δηjj| < 1.2.
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Fig. 23 (left): Leading jet average mass as a function of the number of reconstructed vertices in QCD multijet events for PF, PF+CHS and PUPPI jets in data and simulation. Dijet events are required to pass the following selections: at least one jet with pT > 400 GeV, dijet invariant mass Mjj > 900 GeV and |Δηjj| < 1.2.
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Fig. 23 (right): Leading jet average τ2/τ1 as a function of the number of reconstructed vertices in QCD multijet events for PF, PF+CHS and PUPPI jets in data and simulation. Dijet events are required to pass the following selections: at least one jet with pT > 400 GeV, dijet invariant mass Mjj > 900 GeV and |Δηjj| < 1.2.
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Additional plots

Comparison of the ungroomed mass distributions with and without safe four vector subtraction for particle level jets, PF, PF+CHS and PUPPI jets. The mass is shown for W jets originating from the decay of a RS graviton to WW.
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Comparison of the groomed (soft drop with β = 2) mass distributions with and without safe four vector subtraction for particle level jets, PF, PF+CHS and PUPPI jets. The mass is shown for W jets originating from the decay of a RS graviton to WW.
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Comparison of the groomed (trimming with rsub = 0.2, pT,frac=0.05) mass response mreco - mgen for W jets originating from the decay of a RS graviton to WW reconstructed with PF, PF+CHS and PUPPI. mgen is the groomed mass at the particle level.
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Comparison of the groomed (soft drop with β=2) mass response mreco - mgen for W jets originating from the decay of a RS graviton to WW reconstructed with PF, PF+CHS and PUPPI. mgen is the groomed mass at the particle level.
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-- MartinaMalberti - 12 Aug 2014

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PDFpdf data53x_mass_sd.pdf r2 r1 manage 21.0 K 2014-08-15 - 22:37 NhanTran  
PNGpng data53x_mass_sd.png r2 r1 manage 45.3 K 2014-08-15 - 22:37 NhanTran  
PDFpdf data53x_mass_tr.pdf r2 r1 manage 22.5 K 2014-08-15 - 22:37 NhanTran  
PNGpng data53x_mass_tr.png r2 r1 manage 55.9 K 2014-08-15 - 22:37 NhanTran  
PDFpdf m_leadjet_qcd.pdf r2 r1 manage 19.2 K 2014-08-21 - 11:03 MartinaMalberti  
PNGpng m_leadjet_qcd.png r2 r1 manage 28.9 K 2014-08-21 - 11:03 MartinaMalberti  
PDFpdf m_leadjet_ww.pdf r2 r1 manage 18.7 K 2014-08-21 - 10:41 MartinaMalberti  
PNGpng m_leadjet_ww.png r2 r1 manage 27.5 K 2014-08-21 - 10:41 MartinaMalberti  
PDFpdf m_resolution_summary_leadjet.pdf r1 manage 14.2 K 2014-08-12 - 18:26 MartinaMalberti  
PNGpng m_resolution_summary_leadjet.png r1 manage 30.7 K 2014-08-12 - 18:26 MartinaMalberti  
PDFpdf m_resolution_vs_npu.pdf r1 manage 16.0 K 2014-08-12 - 18:26 MartinaMalberti  
PNGpng m_resolution_vs_npu.png r1 manage 35.3 K 2014-08-12 - 18:26 MartinaMalberti  
PDFpdf m_response_leadjet_qcd.pdf r2 r1 manage 21.9 K 2014-08-21 - 11:03 MartinaMalberti  
PNGpng m_response_leadjet_qcd.png r2 r1 manage 40.6 K 2014-08-21 - 11:03 MartinaMalberti  
PDFpdf m_response_leadjet_ww.pdf r2 r1 manage 21.2 K 2014-08-21 - 10:58 MartinaMalberti  
PNGpng m_response_leadjet_ww.png r2 r1 manage 41.6 K 2014-08-21 - 10:58 MartinaMalberti  
PDFpdf m_response_vs_npu.pdf r1 manage 15.9 K 2014-08-12 - 18:26 MartinaMalberti  
PNGpng m_response_vs_npu.png r1 manage 33.5 K 2014-08-12 - 18:26 MartinaMalberti  
PDFpdf mass_response_chs_pruned.pdf r3 r2 r1 manage 17.9 K 2014-08-21 - 14:49 MartinaMalberti  
PNGpng mass_response_chs_pruned.png r3 r2 r1 manage 35.3 K 2014-08-21 - 14:49 MartinaMalberti  
PDFpdf mass_response_chs_softdrop.pdf r3 r2 r1 manage 17.1 K 2014-08-21 - 14:49 MartinaMalberti  
PNGpng mass_response_chs_softdrop.png r3 r2 r1 manage 31.2 K 2014-08-21 - 14:49 MartinaMalberti  
PDFpdf mass_response_chs_trimmed.pdf r4 r3 r2 r1 manage 17.7 K 2014-08-21 - 14:49 MartinaMalberti  
PNGpng mass_response_chs_trimmed.png r4 r3 r2 r1 manage 36.4 K 2014-08-21 - 14:49 MartinaMalberti  
PDFpdf msoftdropsafe_response_leadjet.pdf r2 r1 manage 18.5 K 2014-08-22 - 10:12 MartinaMalberti  
PNGpng msoftdropsafe_response_leadjet.png r1 manage 31.9 K 2014-08-22 - 10:06 MartinaMalberti  
PDFpdf mtrimsafe_response_leadjet.pdf r2 r1 manage 18.6 K 2014-08-22 - 10:12 MartinaMalberti  
PNGpng mtrimsafe_response_leadjet.png r2 r1 manage 32.4 K 2014-08-22 - 10:12 MartinaMalberti  
PDFpdf ptcorrphil.pdf r1 manage 20.2 K 2014-08-21 - 11:08 MartinaMalberti  
PNGpng ptcorrphil.png r1 manage 26.2 K 2014-08-21 - 11:08 MartinaMalberti  
PDFpdf ptcorrphil_leadjet.pdf r2 r1 manage 20.2 K 2014-08-21 - 11:10 MartinaMalberti  
PNGpng ptcorrphil_leadjet.png r2 r1 manage 26.2 K 2014-08-21 - 11:10 MartinaMalberti  
PDFpdf ptcorrphil_response.pdf r1 manage 19.5 K 2014-08-21 - 11:08 MartinaMalberti  
PNGpng ptcorrphil_response.png r1 manage 33.0 K 2014-08-21 - 11:08 MartinaMalberti  
PDFpdf ptcorrphil_response_leadjet.pdf r2 r1 manage 19.5 K 2014-08-21 - 11:10 MartinaMalberti  
PNGpng ptcorrphil_response_leadjet.png r2 r1 manage 33.0 K 2014-08-21 - 11:10 MartinaMalberti  
PDFpdf summary_plot_PF_CHS.pdf r2 r1 manage 15.0 K 2014-08-18 - 09:57 MartinaMalberti  
PNGpng summary_plot_PF_CHS.png r2 r1 manage 27.1 K 2014-08-18 - 09:57 MartinaMalberti  
PDFpdf summary_plot_response.pdf r2 r1 manage 15.5 K 2014-08-18 - 09:57 MartinaMalberti  
PNGpng summary_plot_response.png r2 r1 manage 28.3 K 2014-08-18 - 09:57 MartinaMalberti  
PDFpdf tau21_leadjet_qcd.pdf r3 r2 r1 manage 21.2 K 2014-08-21 - 11:06 MartinaMalberti  
PNGpng tau21_leadjet_qcd.png r3 r2 r1 manage 29.0 K 2014-08-21 - 11:06 MartinaMalberti  
PDFpdf tau21_leadjet_ww.pdf r3 r2 r1 manage 21.3 K 2014-08-21 - 11:00 MartinaMalberti  
PNGpng tau21_leadjet_ww.png r3 r2 r1 manage 34.8 K 2014-08-21 - 11:00 MartinaMalberti  
PDFpdf tau21_vs_npu_leadjet_qcd.pdf r1 manage 15.6 K 2014-08-15 - 18:10 MartinaMalberti tau21 leading jet
PNGpng tau21_vs_npu_leadjet_qcd.png r1 manage 24.7 K 2014-08-15 - 18:10 MartinaMalberti tau21 leading jet
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Topic revision: r25 - 2014-08-22 - MartinaMalberti
 
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