This page contains the complete set of figures that can be found on the b-tagging section of the CSC note (see
).
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Tracking efficiency (top plot) and fake rate (bottom plot) versus track pseudo-rapidity, for three levels of track selection: matching (blue triangles), standard quality cuts (red squares) and b-tagging quality cuts (black circles), in ttbar events. |
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Tracking efficiency (top plot) and fake rate (bottom) versus distance to jet axis, for tracks fulfilling the b-tagging quality cuts and associated to low-p_T jets (black symbols) or high-p_T jets (green symbols), in ttbar events. |
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Tracking efficiency (top plots) and fake rate (bottom plots) in ttbar events after the b-tagging quality cuts, for two tracking algorithms: default NewTracking (black symbols) and iPatRec (red symbols). First figure is for several bins of track p_T, second one versus the distance to the jet axis. |
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Fraction of tracks with shared hits versus distance to the jet axis. Tracks fulfilling the b-tagging quality cuts, and with at least one shared hit in the silicon systems are shown. The standard definition of shared hits (see text) is shown as well. |
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Transverse impact parameter significance d_0/sigma _{d_0} for tracks in light jets. Two categories of tracks are used: regular ones (red plain curve) and tracks with shared hits (blue dashed). Both distributions are normalized to unity. |
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Track impact parameter resolution versus track p_T, for several bins in the track pseudo-rapidity. First plot is for transverse impact parameter, second for longitudinal impact parameter. |
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Rejection of light jets and c-jets with and without purification versus b-jet efficiency for WH (m_H=120 GeV) and ttbar events, using the tagging algorithm based on 3D impact parameter and secondary vertex. |
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Signed transverse impact parameter d_0 distribution (left) and signed transverse impact parameter significance d_0/sigma _{d_{0}} distribution (right) for b-jets, c-jets and light jets. |
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Secondary vertex variables: invariant mass of all tracks in vertex (left), energy fraction vertex/jet (center) and number of two-track vertices (right) for b-jets and light jets. |
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Jet b-tagging weight distribution for b-jets, c-jets and purified light jets. The left plot is for the IP2D tagging algorithm. The right plot corresponds to the IP3D+SV1 tagging algorithm. |
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Distributions of the probability of compatibility with the primary vertex for individual tracks (left plot) and for all tracks in the jet (right plot) as defined for JetProb. The cases of b-jets (red plain), c-jets (green dashed) and light jets (blue dotted line) are shown. |
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b-tagging efficiency and purified light jet rejection obtained with the IP3D+SV1 tagging algorithm operating at a fixed cut of 4 on the b-tagging weight, for ttbar events. The first plot is versus jet p_T, the second versus jet eta. |
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Rejection of light jets with purification versus jet pseudo-rapidity for the IP3D+SV1 tagging algorithm and for two different physics channels: jets from ttbar events and from WH (m_H=120 GeV) events, for a fixed 60% tagging efficiency in each bin. The first plot is for all jet p_T, the second for 30 < p_T < 45 GeV, and the last one for 60 < p_T < 100 GeV. |
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p_T and pseudo-rapidity spectra of b (upper plots) and light (lower plots) jets for the various channels considered in this section. |
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Rejection of light jets, pure light jets, c- and tau- jets versus b-jet efficiency for ttbar and ttbarjj events and for all tagging algorithms: JetProb, IP2D, IP3D, IP3D+SV1, IP3D+JetFitter. |
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Fraction of selected tracks which are not from B/D decays versus jet p_T, in b-jets from WH (m_H=400 GeV) events. |
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Algorithmic tracking efficiency for long-lived pions as a function of the jet transverse energy, for prompt tracks or tracks from b/c-hadron decays, and for two reconstruction algorithms: NewTracking and iPatRec. |
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Raw light jet rejection for jets from Z'->qqbar with m_Z'=2 TeV, versus jet transverse energy, for the IP3D+SV1 tagging algorithm (with tracks from iPatRec). and for three b-tagging efficiencies. |
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Rejection of light jets versus b-tagging efficiency for the IP3D+SV1 tagging algorithm applied on jets reconstructed with different algorithms: cone algorithm with size Delta R=0.4,0.7 or k_T algorithm with parameter R=0.4,0.6. See text for the last plot. |
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Left: Number of simulated (black line) and reconstructed vertices per event for different reconstruction algorithms (dotted lines); right: distribution for the InDetAdaptiveMultiPriVxFinder of the primary vertex purity. The WH(m_H=120 GeV) -> mu nu bb event sample has been used for these studies. |
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Some distributions for reconstructed two track vertices: a) the pi+ pi- invariant mass spectrum with a peak of K0 decays; b) the p pi invariant mass spectrum with a peak of Lambda0 decays; c) the distance in the transverse plane between the primary and secondary vertices with the peaks due to interactions in the beam pipe (two walls at approximately 30 mm) walls and pixel layers (R=50.5 mm and R=88.5 mm). |
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Atlas.BTagVrtSec fits all displaced tracks to an inclusive vertex. |
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JetFitter performs a multi-vertex fit using the b-hadron flight direction as constraint. |
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13 different topologies are defined, combining the three discrete variables in such way as to reduce their correlations. For the case of one single vertex with at least two tracks (1), the discrete PDFs for both the other two variables, total tracks at vertices (2) and single additional tracks (3), are used, but they are then considered as uncorrelated, so that their corresponding coefficients are just multiplied. |
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The PDFs for the mass, the energy fraction and the flight length significance are shown, separately for the three different jet-flavours and split according to the decay chain topology found by JetFitter. |
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Residuals of the reconstructed three dimensional (left) and transverse (right) flight length of the inclusive secondary vertex with respect to the true b-hadron position for both vertexing algorithms. |
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Average charged particle decay multiplicity of the b- and/or c-hadrons at generator level (left), compared with the number of charged particles coming from the b- and/or c-hadron vertices reconstructed as tracks in the Inner Detector and passing some standard quality criteria (right). The WH(H to bb) sample has been used. |
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Variables related to the properties of reconstructed secondary vertices as computed by the Atlas.BTagVrtSec algorithm for different jet transverse momenta and pseudorapidities for b-quark jets (solid), c-quark jets (dotted) and light quark jets (dashed). Left: 0 < eta < 0.5 , 15 < p_T < 30 GeV; middle: 0 < eta < 0.5 , 80 < p_T < 120 GeV; right: 2 < eta < 2.5 , 80 < p_T < 120 GeV. The top row shows the invariant mass of charged particle tracks associated to the reconstructed secondary vertices, the middle row the energy of charged particle tracks associated to the reconstructed secondary vertices divided by the energy of all charged particles in the jet, and the bottom row the flight distance significance as defined in the text. |
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Angular resolution of the b-hadron flight direction in the azimuth angle phi as reconstructed with the JetFitter and Atlas.BTagVrtSec algorithms (for the latter, the line joining the primary and secondary vertices has been used in the case where a secondary vertex is present), compared with the corresponding resolution as obtained from calorimeter jets. The WH (H to bb; m_H=120 GeV) sample was used for this study. |
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Left: Light jet rejection versus b-tagging efficiency for Atlas.BTagVrtSec (triangles, green) and JetFitter (full circles, red). The pure impact parameter based algorithm IP3D is also shown for comparison (open circles, blue); right: The ratio with respect to IP3D for Atlas.BTagVrtSec (dashed line, green) and JetFitter (full line, red). These results have been obtained on the tt and ttjj samples. No purification of light quark jets has been applied. |
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Left: Charm jet rejection versus b-tagging efficiency for Atlas.BTagVrtSec (triangles, green) and JetFitter (full circles, red). The pure impact parameter based algorithm IP3D is also shown for comparison (open circles, blue); right: The ratio with respect to IP3D for Atlas.BTagVrtSec (dashed line, green) and JetFitter (full line, red). These results have been obtained on the tt and ttjj samples. |
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Left: Light jet rejection versus b-tagging efficiency for Atlas.BTagVrtSec (triangles, green) and JetFitter (full circles, red) after combination with IP3D. The pure impact parameter based algorithm IP3D is also shown for comparison (open circles, blue); right: The ratio with respect to IP3D for Atlas.BTagVrtSec (dashed line, green) and JetFitter (full line, red) combined. These results have been obtained on the tt and ttjj samples. No purification has been applied. |
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Left: Charm jet rejection versus b-tagging efficiency for Atlas.BTagVrtSec (triangles, green) and JetFitter (full circles, red) after combination with IP3D. The pure impact parameter based algorithm IP3D is also shown for comparison (open circles, blue); right: The ratio with respect to IP3D for Atlas.BTagVrtSec (dashed line, green) and JetFitter (full line, red) combined. These results have been obtained on the tt and ttjj samples. |
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Left: Light jet rejection for a fixed b-tagging efficiency of 50% versus the jet transverse momentum for Atlas.BTagVrtSec (triangles, green) and JetFitter (full circles, red) after combination with IP3D. The pure impact parameter based algorithm IP3D is also shown for comparison (open circles, blue); right: The ratio with respect to IP3D for Atlas.BTagVrtSec (triangles, green) and JetFitter (full circles, red) combined. The plots in the top (bottom) row show the performance without (with) applying the purification procedure. These results have been obtained on the tt and ttjj samples. |
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Left: Light jet rejection for a fixed b-tagging efficiency of 50% versus the jet pseudorapidity for Atlas.BTagVrtSec (triangles, green) and JetFitter (full circles, red) after combination with IP3D. The pure impact parameter based algorithm IP3D is also shown for comparison (open circles, blue); right: The ratio with respect to IP3D for Atlas.BTagVrtSec (triangles, green) and JetFitter (full circles, red) combined. The plots in the top (bottom) row show the performance without (with) applying the purification procedure. These results have been obtained on the tt and ttjj samples. |
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Ratios of the tuned rejections to the default rejection as a function of the jet transverse momentum for a b-tagging efficiency of 60%. The left hand side plot shows this ratio for light quark jet rejection, while the right hand side plot shows the ratio for charm jet rejection. |
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Primary vertex resolution, shown for the x direction (a) and z direction (b) for the various misalignment scenarios. ES denotes error scaling. |
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Light jet rejection versus b-tagging efficiency for the four different alignment sets for IP3D+SV1 for ttbar (left) and WH(120) (right). ES denotes error scaling. |
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Light jet rejections using IP3D+SV1 tagger for the four misalignment scenarios at b-tagging efficiency working points of 50% (left) and 60% (right). Results are shown before and after error scaling (ES). |
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Jet weight distributions for the IP3D+SV1 tagger for the different alignment scenarios with error scaling for ttbar (a) and WH(120) (b). |
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Jet weight distributions for the IP3D+SV1 tagger comparing with and without error scaling (ES) for "Random10'' scenario for ttbar (a) and WH(120) (b). |
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Comparison of light jet rejections using IP3D+SV1 tagger for standard and purified jets in ttbar events. Left plot: 50% b-tag efficiency. Right plot: 60% b-tag efficiency. |
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Comparison of the light jet rejections for the different taggers, IP2D, IP3D, SV1 and the combined tagger IP3D+SV1. Left plot: 50% b-tag efficiency. Right plot: 60% b-tag efficiency. Results are with error scaling using ttbar events. |
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As in Fig. 7 but without error scaling. |
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Ratio of rejections with error scaling to rejections without error scaling. Left plot: 50% b-tag efficiency. Right plot: 60% b-tag efficiency. |
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Comparison of the light jet rejection obtained for the IP3D+SV1 tagger using a fixed calibration or recalibrating for each separate sample. Left plot: 50% b-tag efficiency. Right plot: 60% b-tag efficiency. |
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Ratio of rejections with error scaling to rejections without error scaling. Results are shown for the IP3D+SV1 tagger. Left plot: 50% b-tag efficiency. Right plot: 60% b-tag efficiency. Compares using a fixed calibrations and recalibrating for each separate sample. |
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Distribution of Delta R = sqrt {Delta ensuremath {etaa } xspace ^2 + Delta phi ^2} between closest jet and muons from b hadron decays, c hadron decays, light hadron decays, and fakes, in jets of E_T>15GeV and |ensuremath {etaa } xspace |<2.5 in ttbar events. The red line shows the cut applied for the basic selection described in Sectionnobreakspace {}3hbox {}. All histograms in Fig.nobreakspace {}1hbox {} tonobreakspace {}5hbox {} are normalized to unity. |
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Transverse momentum distribution of muons from b hadron decays, c hadron decays, light hadron decays, and fakes, in jets of E_T>15GeV and |ensuremath {etaa } xspace |<2.5 in ttbar events. The last bin includes overflows. The red line shows the cut applied for the basic selection described in Sectionnobreakspace {}3hbox {}. |
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Impact parameter distribution of muons from b hadron decays, c hadron decays, light hadron decays, and fakes, in jets of E_T>15GeV and |ensuremath {etaa } xspace |<2.5 in ttbar events. The last bin includes overflows. The red line shows the cut applied for the basic selection described in Sectionnobreakspace {}3hbox {}. |
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Distribution of the transverse momentum relative to the jet axis of muons from b hadron decays, c hadron decays, light hadron decays, and fakes, in jets of E_T>15GeV and |ensuremath {etaa } xspace |<2.5 in ttbar events. The last bin includes overflows. |
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Distribution of the transverse momentum relative to the jet axis of muons from b hadron decays and from background sources, in jets of E_T>15GeV and |ensuremath {etaa } xspace |<2.5 for ttbar events and WH events. The last bin includes overflows. |
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Probability density function used in the algorithm likelihood for the p_T^{rel} variable, for the tagged muons. |
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Probability density function used in the algorithm likelihood for the p_T^{rel} variable, for the combined muons. |
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Probability for a b-jet to be tagged by the soft-muon tagger as a function of jet pseudorapidity without and with a requirement on the likelihood ratio corresponding to an average b-tagging efficiency of 10%. |
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Probability for a b-jet to be tagged by the soft-muon tagger as a function of jet transverse energy (the last bin includes overflows) without and with a requirement on the likelihood ratio corresponding to an average b-tagging efficiency of 10%. |
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Probability for a light jet to be tagged by the soft-muon tagger as a function of jet pseudorapidity without and with a requirement on the likelihood ratio corresponding to an average b-tagging efficiency of 10%. |
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Probability for a light jet to be tagged by the soft-muon tagger as a function of jet transverse energy (the last bin includes overflows) without and with a requirement on the likelihood ratio corresponding to an average b-tagging efficiency of 10%. |
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b-tagging efficiency vs light jet rejection estimated in ttbar and WH (without pile-up/cavern background). |
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b-tagging efficiency vs light jet rejection estimated on a ttbar sample with and without pile-up/cavern background. |
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Normalized distributions of true transverse momentum pT (left) and pseudo-rapidity (right) are shown for signal electrons (hatched histograms), electrons from conversions (dotted line histograms) and pions (plain histograms). |
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Track multiplicity in jets (left) and jet transverse momentum (right) for b jets (hatched histograms) and light jets (solid line). Only jets having at least one {it good quality track} with pT >2 GeV are considered. |
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Ratio between reconstructed and true energy as a function of the electron pseudo-rapidity (left) and ratio of the reconstructed to true momentum for electrons (right). |
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Ratio E3(core)/E(core) (see text) for electrons in the H->bb sample (hatched histogram) and for charged pions in the H->uu sample (solid line). The distributions are normalized to unit area. |
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Lateral shower shape Reta (left) and lateral width omegaeta 2 (right) in the second layer of the electromagnetic calorimeter (see text for details). The distributions are shown for electrons in the H->bb sample (hatched histograms) and for charged pions in the H->uu sample (solid lines). The distributions are normalized to unit area. |
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Ratio E1(core)/E(core) (see text) for electrons in the H->bb sample (hatched histogram) and for pions in the H->uu sample (solid line). The distributions are normalized to unit area. |
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Total shower width omegastot (left) and shower width in three strips omegas3 (right) in the first layer of the electromagnetic calorimeter. The distributions are shown for electrons in the H->bb sample (hatched histograms) and pions in the H->uu sample (solid lines). The distributions are normalized to unit area. |
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Angular matching between charged tracks extrapolated to the electromagnetic calorimeter and electromagnetic clusters in pseudo-rapidity (Delta eta). The distributions are shown for electrons in the H->bb sample (hatched histogram) and for pions in the H->uu sample (solid line). The distributions are normalized to unit area. |
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Ratio E/p between the energy of the electromagnetic clusters and the momentum of reconstructed charged tracks (left) and fraction NHTR/Nstraw of high-energy hits in the TRT (right). The distributions are shown for electrons in the H->bb sample (hatched histograms) and for pions in the H->uu sample (solid lines). The distributions are normalized to unit area. |
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Transverse impact parameter for electrons in the H->bb sample (hatched histogram) and for pions in the H->uu sample (solid line). The distributions are normalized to unit area. |
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Distribution of the track transverse momentum pTrel relative to the jet axis for signal electron tracks in b jets (hatched histogram) and for pion tracks in light jets (solid line). |
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Discriminating function Dtrack for electrons in the H->bb sample (hatched histogram) and for pions in the H->uu sample (solid line). The distributions are normalized to unit area. |
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Discriminating function Djet for b-jets in the H->bb sample (hatched histogram) and light jets in the H->uu sample (solid line). The distributions are normalized to unit area. |
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Rejection factor of light jets Rlight jet versus b-tagging efficiency effb. |
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Light jet rejection factor as a function of jet pT (left) and jeteta (right) for a b-tagging efficiency effb=7%. |
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Studies of b-jet resolution: width of (E_{quark}-E_{jet})/E_{quark} and average of Delta R(Quark,Jet) for Cone and k_T with different jet sizes. |
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Yield expected for an integrated luminosity of 100 pb-1 in the lepton+jets channel as a function of the number of tagged jets. The expected background from W/Z+jets, single top, and diboson production is also shown. |
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Yield expected for an integrated luminosity of 100 pb-1 in the dilepton+jets channels (left: ee/mu mu ; right: emu ) as a function of the number of tagged jets. The expected background from Z+jets and single top is also shown. |
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Signal over background ratio vs the number of tagged jets in the lepton+jets channel (left) and in the dilepton ee/mu mu and emu dilepton+jets channels (right). |
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Reconstructed hadronic (left) and leptonic (right) top masses for the selected jet combination, showing the contributions from correctly reconstructed ttbar events, combinatorial and non-ttbar background, normalised to 100 pb-1. The numbers refer to the classes discussed in the text. |
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Reconstructed leptonic top mass distributions for different regions of the leptonic top b-jet E_T, with hadronic top mass in the range 140<m_jjj<190 GeV. The points with error bars show all events, with background contributions indicated by the hatched histograms. The error bars show the full Monte Carlo statistics (948 pb-1) whilst the event counts indicate the number of events expected for 100 pb-1. The lines show fits to the signal and estimated background, and are discussed further in the text. |
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b-tagging efficiency vs. weight cut for different b-jet E_T ranges, as measured by the topological b-jet analysis (upper points with error bars, statistics of full simulation sample), and compared to the true efficiency from unbiased b-jets (histogram). The difference between the two is shown as the lower points with error bars. |
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(a) b-tagging efficiency vs. cut on b-tagging weight w, as measured from the topological b-jet selection (points with error bars), and derived from Monte Carlo truth information in all b-jets in ttbar events (histogram), for 948 pb-1 of simulated ttbar plus background events; (b) Estimated statistical uncertainty on the measured b-tagging efficiency as a function of tagging efficiency, for 200 pb-1. |
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Templates for the likelihood-based selection, using (a) hadronic t-quark mass and (b) hadronic t-quark p_T. |
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Discrimination between correct and incorrect permutations, best permutation chosen for each event, for entire range of D, and for D>0.985. Events are chosen which have at least 1 b-tagged jet. |
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Likelihood selection: b-jet purity vs. number of selected events (discriminant cut value ranging from 0.975 to 1) for each b-jet E_T bin. |
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b-tagging efficiencies for signal (b-jets), and tag rate for light and c-jets (background) for events passing a discriminant cut of 0.9. Each plot was done for a different range of jet E_T. |
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Likelihood method: simulation of b-tagging efficiencies vs. E_T for a 100 pb-1 sample using the best permutation for events selected with a discriminant cut. The solid line shows the true b-tagging efficiencies from the full MC sample using truth information. (b-tag weight=6.0, discriminant cut 0.985) |
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Kinematic selection: Distribution of the chi2 for the permutation with the minimum chi2 showing contributions of the signal and backgrounds with standard selection cuts (left plot), and with additional requirements according to selection S3 described in the text (right plot). |
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Left: The purity (fraction of true b jets) of the jet assigned as the b-jet on the leptonic side as a function of the chi2 cut. Right: The corresponding number of events. The different selection criteria are described in the text. |
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Kinematic selection: (Left): The b-tag weight distribution for the uncorrected sample (unfilled histogram), for the estimated background sample (filled histogram) and the corrected distribution calculated from the difference (data points). Right: The b-tag weight distribution for the corrected sample (data points) compared with the distribution for true b-jets (histogram). Both plots are normalised to 100 pb-1, but use 967 pb-1 of simulated data. |
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Comparison of b tagging weights and performance using default and special top sample reference histograms |
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Background-subtracted b-tagging variable distributions derived from the b-jet sample selected by the topological method, with 948 pb-1 of simulated ttbar plus background data. The derived distributions are shown by the points with error bars, and the Monte Carlo truth for an unbiased sample of b-jets is shown by the solid histograms. |
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The left plot shows the fraction of all muons with reconstructed p_T>4 GeV that are secondary muons vs muon p_T in the QCD samples (filled circles) and in the muon+jet samples (open circles). The difference is caused by the generator-level filtering of the mu samples before ATLAS simulation has a chance to create the secondary muons. The right plot shows the fraction of muon-tagged jets that are due to a b-quark as identified by the default Monte Carlo labeling algorithm. In both plots, the black open circles represent muon-tagged jets found in the muon+jet sample and the red filled circles represent muon-tagged jets found in the QCD jet sample. |
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Tag rates (IP3D+SV1 weight > 4) for jets containing a reconstructed muon. The left plot are jets labeled as b-jets and the right plot are jets labeled as light-jets. In both plots, the open circles represent muon-tagged jets found in the muon+jet sample and the filled circles represent muon-tagged jets found in the QCD jet sample. |
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Jet p_T distribution for trigger L2_mu4_J10 (left plot) and the jet p_T distribution for the sum of triggers L2_mu4_J10, L2_mu4_J18, L2_mu4_J23, L2_mu4_J35, L2_mu4_J42 (right plot). In the case of the sum of triggers, the triggers were relatively prescaled by factors 50/15/12/12/1. In both plots the muon is confirmed at L2 by the muComb algorithm. |
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p_{T,rel} templates obtained at low p_T^{rm jet} (15 < p_T^{rm jet} < 28 GeV) (left) and high p_T^{rm jet} (163 < p_T^{rm jet} < 300 GeV) region. Intermediate p_T^{rm jet} ranges have distributions lying between these extremes. |
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A fit of the p_{T,rel} templates to the test sample. The test sample (black error bars) was fit with the p_{T,rel} templates obtained from QCD jet Monte Carlo samples (green triangle: light-jet, blue square: c-jet, and red dot: b-jet). The red histogram is the result of the fit. The left plot shows the fit results for all muon-tagged jets, and the right shows that obtained after tagging. |
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Efficiency as a function of jet p_T (left) and jet |ensuremath {etaa } xspace | (right) for the tagger IP3D+SV1 as measured using the p_{T,rel} method. The dots are the true value as measured in the Monte Carlo, and the squares (with error bars) are determined from the p_{T,rel} method. The lines are parameterizations to the measured p_{T,rel} points. At high jet p_T the p_{T,rel} measurement technique fails and so we do not attempt to measure b-tagging performance above 80 GeV. The |ensuremath {etaa } xspace | plot (right) includes only jets with p_T<80 GeV. |
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The right hand plot shows the ratio of efficiencies for semi-leptonic jet tagging and hadronic jet tagging in the QCD jet sample. |