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1
Measurement of the Top Quark
Pair Production Cross Section
with the ATLAS Detector
Andrea Bangert
University of California at Santa Cruz
October 29th, 2008
2
Overview
• Large Hadron Collider• ATLAS Experiment• Standard Model Top Quark
• Pair production mediated by strong interaction • Top decay mediated by weak interaction
• Theoretical cross section• Cross Section Measurement
• Luminosity • Event Selection and efficiencies• Reconstructing top• Backgrounds
• Summary
4
Large Hadron Collider
Large Hadron Collider
• 27 km circumference, 150 m depth
• Proton-proton collisions, ECM = 14 TeV
• Design luminosity L = 1034 cm-2 s-1
• Experiments: ATLAS, ALICE, CMS, LHCb
6
The ATLAS Experiment
• Lead / liquid argon electromagnetic calorimeter
• Electron, photon identification
• Hadronic calorimeter• Scintillator-tile barrel
calorimeter • Copper / liquid argon
hadronic end-cap calorimeter
• Tungsten / liquid argon forward calorimeter
• Air-core toroid magnet• Instrumented with muon
chambers• Muon spectrometer
• Muon momentum
• Inner Detector, superconducting solenoid magnet..
• Pixel detector, semiconductor tracker, transition radiation tracker• Momentum and vertex measurements, electron, tau and heavy flavor identification
7
ATLAS Goals
• Electroweak symmetry breaking
• Higgs boson
• Supersymmetry
• Gauge bosons
• Compositeness
• mt and mW
• QCD
mH = 129 +74-29 GeV
mW = 80.399 ± 0.025 GeV
mt = 172.4 ± 1.2 GeV
mH > 114 GeV (95% CL)
8
• Discovered at Tevatron in 1995• Completed 3rd generation of fermions
• Extremely massive:• mt = 172.4 ± 1.2 GeV• mt ≈ 185 amu • mAg < mt < mAu
• Top-antitop pairs produced via strong interaction
• Top decays via weak interaction, t → W b
Standard Model Top Quark
9
Top Quark Pair Production
• Mediated by strong interaction
• Rate is proportional to cross section tt and luminosity L
• L = 1034 cm-2 s-1
L ≈ 36 pb-1 / hour• Theoretical cross section is
σtt = 919 +76-55 pb
• 9 top–antitop pairs / second• 2.7 million pairs / week• 76 million pairs / year
10
Parton Distributions
• Partonic cross sections
• Short-distance hard scattering
• Calculated to NLO in perturbative QCD
• Parton distribution functions
• Non-perturbative, universal
• Determined from data
• CTEQ6.6M
Parton Distribution Functions
g, u, d, ubar
11
Factorization Theorem• ij are partonic
cross sections• f(x) are parton
distributions• i, j are incoming
partons
• N. Kidonakis and R. Vogt, 2008
• ECM = 14 TeV• CTEQ6.6M PDFs
• mt = 172 GeV• tt = 919 +76
-55 pb
Measurement of σtt serves as experimental test of pQCD
tt(mt) at the LHC
12
Top Decay
• W decay: • W → l v Γ ≈ 1/3 • W → j j Γ ≈ 2/3
• Top-antitop decays:• “dileptonic”• “semileptonic”• “hadronic”
• Cross section can be measured in dileptonic, semileptonic and hadronic decay channels.
tt → W+b W-b → (l+ vl b) (l- vl b)tt → Wb Wb → (l vl b) (j j b) tt → Wb Wb → (j j b) (j j b)
Γ ≈ 1/9Γ ≈ 4/9Γ ≈ 4/9
• Top decay: • Γ(t→W+b) = |Vtb|2 = 0.998• t ~ 5 10-25 s• No top hadrons
13
Why measure the cross section?
• Test perturbative QCD
• Top production is a “standard candle”
• Measurements involving known top properties will allow us to calibrate the ATLAS detector
• Top pair production will be a significant background for other measurements
• Physics not predicted by the Standard Model could increase the cross section significantly
• Could affect the branching ratios for the various top decay channels (t → H+b)
14
Cross Section Measurement
• Estimate background rates• QCD multijets • Electroweak W+N jet production• Single top production
• Estimate εtt
• Use Monte Carlo samples• Include trigger efficiencies from data
• Luminosity • Relative luminosity measured by LUCID• Absolute calibration from LHC machine parameters
• Uncertainty of 20% to 30% expected initially
15
Luminosity
Necessary input for cross section measurement.
f = 11 kHz
F = 0.9
Np = 1011 protons / bunch
Nb = 2808 bunches / beam
σ* = 16 m
Initial uncertainty is 20% to 30%
Limit on precision is L ~ 10%
Calculate L using beam parameters.
16
Trigger • tt lb jjb allows use of single lepton trigger
• Electron trigger e25i• Isolated electron
• pT > 18 GeV
• For pT > 25 GeV, trigger= 99%• tt → evb jjb
• After event selection• pTe > 10 GeV
• εtrigger = 84%
• Muon trigger mu20• Muon with pT > 17.5 GeV• tt → μvb jjb
• After event selection• pTm > 10 GeV
• εtrigger = 78%
• Efficiencies must be estimated from dataTrigger Efficiency in tt→lvb jjb
Level 1 Trigger
Event Filter
17
Backgrounds• W + jets• QCD multijets• top pair production with
dileptonic, hadronic decay• single top production• diboson production• Drell-Yan Z → ll
tt → lvb jjb signal
W + 4 jets
diboson production (WW)
single top production
σ ≈ 100 pb
σ ≈ 250 pb
σ ≈ 24 pb
18
Event Selection
• Selection Cuts• Exactly one e or μ
• Isolated • E∆R=0.20 < 6 GeV • Energetic
• pT > 20 GeV• Central, |η| < 2.5
• At least four jets• Energetic• pTj > 40 GeV• pT j4 > 20 GeV• Central, || < 2.5• No b-tagging
• MET > 20 GeV
• Before cuts S/B = 0.16• After cuts S/B = 1.56
Number of events, L = 100 pb-1
19
Invariant Masses• tt → Wb Wb → lvb jjb
• Reconstruct t → Wb → jjb• Each event contains N jets• Create all possible trijet
combinations• Choose combination with
highest pT to represent t → jjb
• Reconstruct W → jj• t → jjb contains three jets• Three dijet combinations are
possible• Choose dijet combination with
highest pT to represent W → jj
• Possible to cut on mjjb, mjj
L = 100 pb-1, tt → evb jjb
t jjb
W jj
21
Small selection efficiencies: dileptonic ttbar hadronic ttbar single top W→τv
Large selection efficiencies: W→ev plus 5
partons W→μv plus 4
partonsA first estimate of δε due to Jet Energy Scale was performed by varying cuts on jet pT by 5%.
For ttlb jjb, / ~ 8% which implies / ~ 8%.
Selection Efficiencies
22
W + N Jets Background
is large σ is large N is large• Significant source of
uncertainty for tt
Systematic Uncertainty on σ(W+)+Njets
CERN-PH-TH/2007-066
• Most dangerous background.
23
W + N Jets
Low and high estimates of W+N jets contribution in 100 pb-1
tt / tt 8%
Alpgen: • W+2j = 2032 pb
• W+3j = 771 pb
• W+4j = 273 pb
• W+5j = 91 pb
Assign uncertainties: • W+2j = 20%• W+3j = 30%• W+4j = 40%• W+5j = 50%
Events in 100 pb-1:• NW+2j = 53 ± 10 • NW+3j = 271 ± 81• NW+4j = 775 ± 310• NW+5j = 800 ± 400
24
QCD Multijet Background
• Reducible background • MET is due to
• b→Wc→lνc• Mismeasurement
• Leptons are • Non-prompt• b→Wc→lνc• “Fake”• Not isolated
• Fake Rate • R~10-5 (ATLAS TDR)• R = R(pT, η)
• Difficult to model QCD multijet background adequately using Monte Carlo samples, detector simulation
• Contribution will be measured from data
Hard cuts placed on jets. No cuts on leptons.
MET
Electron Isolation
Distributions normalized to contain 10,000
events.
10,000 events
∆R = 0.2
25
Consistency Check• Sample contains ttlbjjb, ttlblb
• ~10% of sample used as “data”
• ~90% of sample used as model
• Ldata = 97 pb-1, Ndata ~ 45,000
• LMC = 970 pb-1, NMC ~ 450,000
• Efficiencies calculated using model
• Assume εdata = εMC
• Number of background events in “data” predicted by model
σ·Γ = 246.0 ± 3.5 (stat) pbFrom Monte Carlo: σ·Γ = 248.5 pb
tjjb
26
Next Steps• Implement analysis in
Athena 14.2.23• Run over signal Monte Carlo• Perform “consistency check”• W+Jets Monte Carlo• Implement trigger decision• Optimize selection cuts
• Consider a cut on invariant or transverse masses
• Compare different methods of reconstructing tjjb and Wjj
• Jet Energy Scale
• Prepare analysis for data
10,000 events
tt lb jjb, W l, QCD
27
Conclusion• Measurement of tt
• Test of perturbative QCD• Use to calibrate detector performance • Prerequisite to observation of new signatures
• Observation of tt lb jjb will utilize all components of the detector
• Counting experiment using L=100 pb-1 • W+N jets will be most significant background• QCD multijet contribution determined from data
• Uncertainty tt determined by L ~ 20% - 30%
• Looking ahead to data
29
References• “The Large Hadron Collider”, Lyndon Evans, New Journal of Physics 9 (2007)
• “LHC Machine”, L. Evans, P. Bryant, JINST (2008)
• “Collider Physics”, Dieter Zeppenfeld (1998), hep-ph/9902307
• “The ATLAS Experiment at the CERN LHC”, JINST (2008)
• ATLAS Technical Design Report (1999)
• “ATLAS Forward Detectors for Measurement of Elastic Scattering and Luminosity”, ATLAS TDR 18 (2008)
• “The theoretical top quark cross section at the Tevatron and the LHC”, N. Kidonakis and R. Vogt (2008), hep-ph/08053844
• “Top Quark Physics at the LHC”, W. Bernreuther (2008), hep-ph/08051333
• “The Top Priority at the LHC”, Tao Han (2008), hep-ph/08043178
• “Top Studies for the ATLAS Detector Commissioning”, S. Bentvelsen, M. Cobal, ATL-PHYS-PUB-2005-024 (2005)
• Particle Data Group, http://pdg.lbl.gov/
• “Precision Electroweak Measurements on the Z Resonance”, LEP and SLD (2006), hep-ex/0509008
• “Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions”, CERN-PH-TH/2007-066
32
Electroweak Precision Measurements
32
EM, GF, mZ → sin2θW 1 - (mW / mZ)2
mW2 ~ 1 / GF sin2 θW (1-▲r)
▲r contains all one-loop corrections to mW.
(▲r)top ~ GFmt2 / tan2 θW
(▲r)Higgs ~ GF mW2 ln (mH
2 / mZ2)
33
CKM Matrix
Vtb ≈ 0.999100 Γ(t→Wb) = |Vtb|2 = 0.998
The charged current W± couples to quarks q and q’ with coupling given by CKM matrix element Vqq’.
Branching ratios for decays which do not mix generations are thus close to unity.
The diagonal elements are close to unity, = |Vus| = 0.2212 ± 0.0025
34
Branching Ratios
(W e) = (10.80 ± 0.09)% (W ) = (10.75 ± 0.13)% (W ) = (10.57 ± 0.15)% (W jj) = (67.60 ± 0.27)%
(tt → Wb Wb → lvb lvb) = 10.3%(tt → Wb Wb → lvb jjb) = 43.5% (tt → Wb Wb → jjb jjb) = 46.2%
[Particle Data Group, C. Amsler et al; T. Liss and A. Quadt, 2008]
35
Single Top Production
• t channel exchange of W boson
• s channel exchange of W boson
• associated production of real W and top
37
LHC Machine
Parameters
• Circumference: 26.7 km• Operating temperature: 1.9 K• Dipole field at 7 TeV: 8.33 Tesla• Stored energy in magnets: 600 MJ• Proton energy during injection: 0.45 TeV• Proton energy during collisions: 7 TeV• Protons per bunch: 1.15 1011
• Number of bunches: 2808• Bunch crossing rate: 40 MHz• Orbit frequency: 11.245 kHz• Beam current: 0.58 A• Nominal bunch spacing: 24.95 ns• Design luminosity: 1034 cm-2s-1
• Kinetic energy per beam: 362 MJ• Power radiated per beam: 3.8 kW• Inelastic events per crossing: 23• Nominal bunch width at interaction point: 16 m• Total bunch length: 1.0 ns• Normalized transverse emittance: 3.75 m• Total longitudinal emittance: 2.5 eV s at interaction point: 0.5m• Crossing angle at interaction point: 320 rad
38
ATLAS Forward Detectors
• LUCID• “Luminosity measurement Using Cherenkov Integrating Detector”• Array of Cherenkov tubes located 17 m from interaction point• Detects inelastic p-p scattering in forward region • Measures integrated luminosity• Provides online monitoring of instantaneous luminosity • Initial calibration based on machine parameters, L ~ 20% - 30%• Later calibration provided by ALFA, L ~ 5%
• ALFA• “Absolute Luminosity for ATLAS”• Scintillating fibre trackers inside Roman pots • Located 240 meters from interaction point • Measures elastic Coulomb scattering at small angles• Measurements performed under special beam conditions• Final installation and first measurements in 2009
39
Measuring Luminosity• Methods of measuring luminosity:
• Measure rate of process with large, well-known cross section .
• R = dN / dt = L σ• More applicable to e+e- colliders than to hadron colliders. • Example: QED Babha scattering.
• Calculate luminosity using beam parameters. • Typical precision is 5% - 10%.
• Use the optical theorem (ALFA, 2009).• Measure total rate of pp interactions Rtotal. • Measure rate of forward elastic scattering dRelastic/dt |t=0.
• Protons scatter with very small momentum transfer t.• L dRelastic / dt |t=0 = Rtotal
2 (1 + ρ2) / 16 π• ρ is ratio of real to imaginary part of elastic forward
amplitude. • Typical precision is 5% - 10%
42
Selection Cuts• Inclusive kT algorithm, E scheme, D=0.4. • Hard Jet Cuts
• No cuts are applied to lepton quantities• Require at least four jets:
• |η| < 5.0 • Lead jet must have pT(j1)>80 GeV• Three subsequent jets must have pT(j)>40
GeV• Selection Cuts
• Exactly one isolated, high-pT e or • E∆R=0.20 < 6 GeV • pT(l) > 20 GeV, |η| < 2.5
• Muons are reconstructed by Staco • Electron candidates must:
• Be reconstructed by eGamma• Fulfill (isEM==0)• Exclude crack region in liquid argon
calorimeter, 1.37<|η|<1.52 • At least four jets
• |η| < 2.5• First three jets have pT(j) > 40 GeV• Fourth jet has pT(j4) > 20 GeV• Jets are removed if ∆R(j,e)<0.4
• MET > 20 GeV.
44
Missing Transverse Energy
• Neutrinos do not interact with the detector.• Initial pT of colliding proton-proton system is zero. • Conservation of momentum requires net pT of all decay
products to be zero.• Assumption: ET and pT of any object except are measured
perfectly.• Then Σi ET + ET = 0 where sum is over all visible particles. • Conclusion: “Missing Transverse Energy” (MET) is ETn
• ET = MET = -Σi ET
• Events which produced an energetic have significant MET.• Events which did not produce a have little MET.
• Caveat: If two were present, information is lost. • Caveat: no measurement is perfect. Instrumental effects can
result in energy imbalance and can ‘fake’ the signature. • Use known mass of W boson and W → l data to calibrate and
test performance of MET reconstruction.
45
• Flag designed to identify electrons and reject jets • Represents combinations of cuts imposed on reconstructed
quantities• Electromagnetic and hadronic calorimeters:
• Very little hadronic leakage (1st bit).• Energy deposit in electromagnetic calorimeter is narrow in width
(2nd bit).• Energy deposit in electromagnetic calorimeter has one narrow
maximum, no substructure (3rd bit).• Inner detector:
• At least nine precision hits from pixel detector and semiconductor tracker; small transverse impact parameter.
• η and φ of track are extrapolated to calorimeter cluster; extrapolated and measured values are required to match.
• Energy measured in electromagnetic calorimeter is required to match momentum measured in inner detector.
• isEM == 0 demands that each electron candidate pass all cuts.
isEM: Quality Control for Electrons
46
Fake Leptons
• Electrons• QCD multijet event is
background if jet fakes electron
• Require isolated electrons• ET (∆R < 0.2) < 6 GeV
• Muons• QCD multijet event is
background if b-jet produces μ
• Distinguish between:• Hard process:
t → Wb → μvb • b decay:
b → Wc → μvc • Require separation between
μ and jet• ∆R(μ, j) > 0.2
50
mT(W) and HT at CDF
• QCD multijets tend to have very low mTW
• Cut at mTW > 20 GeV helps to eliminate QCD
• Top-antitop decays tend to have large HT
• Cut at HT > 200 GeV helps to select top pairs
CDF: hep-ex/0607035
51
b-tagging• Purpose
• Identification of heavy flavor jets (b)• Suppression of light flavor jets (u, d, s)
• Importance• Top quark events produce b quarks
• Most W + jets, QCD multijet events
produce only light quark jets• Use b-tagging to suppress
significant sources of background • Caveat
• Requires precise alignment of inner detector
• Several months of data-taking necessary
• Interplay between tt sample, b-tagging:• In a pure sample of tt events, every
event contains two b jets • Use to test b-tagging performance
Nb-jets > 1
Top-antitop
Single top
W + jets
tt → evb jjb
L = 100 pb-1
W > 7.05
t → jjb
Top-antitop
Single top
W + jets
52
Trigger• L1 trigger
• 4x4 matrix of calorimeter towers• 2x2 central core is
“Region of Interest”• 12 surrounding towers
measure isolation
• L1_em25i requires• ET>18 GeV in ROI in EM calorimeter • ET<2 GeV in ROI in hadron calorimeter• Isolation:
• ET<3 GeV in EM calorimeter• ET<2 GeV in hadron calorimeter
• Event Filter requires ET>18 GeV• εtrigger = 99% for electrons with pT>25 GeV.• L1_mu20 requires ET>17.5 GeV.
Sample 5200, tt→evbjjb events
Event selection with pT(e) > 10 GeV
55
Uncertainty on σW+Njets
Systematic Variation at Tevatron Systematic Variation at LHC
Proton-antiproton collisions, 1.96 TeV, W±,
Cone7 jets, ET(j)>10 GeV, |η|<2Proton-proton collisions, 14 TeV, only W+,
Cone4 jets, ET(j)>20 GeV, |η|<4.5
• “Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions”
• CERN-PH-TH/2007-066
56
Matrix Method
• Method of estimating W→lv, QCD multijet contributions
• Combines use of data, Monte Carlo• Calculate efficiencies; obtain final
numbers of events• Use Monte Carlo to obtain εW
• lW is the number of events in the Monte Carlo sample which pass loose cuts
• lW’ is number of events which also pass tight cuts
• εW = lW’ / lW
• Use data to obtain εQCD• MET < 10 GeV• lQCD is number of events in QCD sample
which pass loose cuts
• lQCD’ is number of events in QCD sample which pass tight cuts
• εQCD = lQCD’ / lQCD
57
Matrix Method
• S contains N events which passed loose lepton cuts• N = NQCD + NW
• S’ contains N’ events which passed tight lepton cuts• N’ = NQCD’ + NW’ • N’= εQCD NQCD + εW NW
• The number of W→lv events in S’ is• NW’ = εW NW
• NW’= εW (εQCD N – N’) / (εQCD – εW)
• The number of QCD multijets in S’ is:• NQCD’ = εQCD NQCD
• NQCD’ = εQCD (N’ – εW N) / (εQCD – εW)
59
Samples Semileptonic and dileptonic ttbar events:
MC@NLO and Herwig. Sample 5200, TID 8037. Filter requires prompt lepton, σ*f = 461 pb.
Hadronic ttbar events: MC@NLO and Herwig. Sample 5204, TID 6015. Filter forbids prompt lepton, σ*f = 369 pb.
Single top samples: AcerMC and Pythia. Wt Production: sample 5500, TID 6958.
σ*f = 25.5 pb, W→lv plus W→jj s channel: sample 5501, TID 6959.
σ*f = 2.3 pb, filter requires W→lv. t channel: sample 5502, TID 6960.
σ*f = 81.5 pb, filter requires W→lv.
60
Samples W+Njets events
Alpgen and Herwig. Samples 8240-8250 Filter requires 3 jets
pT>30 GeV, |eta|<5. QCD multijet events
Alpgen and Herwig. Samples 5061, 5062, 5063, 5064. σ*f=21188 pb, σ*f=53283 pb, σ*f=9904 pb, σ*f=6436
pb. Generated in 11.0.42, reconstructed in 12.0.6. Filter requires 4 jets with |η|<6.
Lead jet must have pT(j1)>80 GeV. 3 subsequent jets must have pT>40 GeV.
61
Samples for Consistency Check
• Semileptonic and dileptonic ttbar events • csc11 #5200, σ = 461 pb, mt = 175 GeV.• Used ~10% of sample as “data”. • Used remaining ~90% of sample as “Monte Carlo”. • Ldata = 97 pb-1, Ndata ~ 45,000 • LMC = 973 pb-1, NMC ~ 450,000.
• Reconstructed with Athena 11.0.42.
62
Top Samples
Process sampleCross
section [pb]
Theoretical uncertainty on
σ [pb]
εfilter σ*f [pb] L [pb-1] Weight
(100 pb-1)
Initial events
Final
events
Efficiency [%]
stat. uncertainty
Wtd final
events
ttbar
tt→(evb)(jjb)
5200 833 100 0.54 461 770.7 0.130
94304 17932 19.02 0.13 2327
tt→(μvb)(jjb) 94489 27975 29.61 0.15 3630
tt→(τvb)(jjb) 95292 4049 4.25 0.07 525
tt→(lvb)(lvb) 70324 6072 8.63 0.11 788
tt→(jjb)(jjb) 5204 833 100 0.46 369 190.6 0.525 65742 237 0.36 0.02 133
Single top
Wt production 5500 25.5 421.6 0.237 10750 744 6.92 0.24 176
s channel 5501 2.3 5652 0.018 13000 159 1.22 0.10 3
t channel 4402 81.5 152 0.657 12400 437 3.52 0.17 287
63
Process Cross section [pb]
Relative uncertainty on σ
MLM match rate
εfilter σ*f [pb]
L [pb-1] Weight
(100 pb-1)
Initial events
Final
events
Efficiency [%]
stat. uncertainty
Wtd
final events
W→ev
2 partons 2032 0.20 0.402 0.262 214 593.0 0.1686 126916 102 0.08037 0.00008 17
3 partons 771 0.30 0.301 0.534 124 556.8 0.1796 69006 479 0.694 0.032 86
4 partons 273 0.40 0.252 0.78 53.7 232.3 0.4306 12463 680 5.456 0.203 293
5 partons 91 0.50 0.264 0.929 22.3 165.8 0.6032 3700 423 11.432 0.523 255
W→μv
2 partons 2032 0.20 0.402 0.020 16.3 260.1 0.3844 4250 82 1.929 0.211 32
3 partons 771 0.30 0.304 0.276 64.7 185.5 0.5391 12000 304 0.253 0.143 164
4 partons 273 0.40 0.229 0.576 36.0 446.4 0.2240 16073 1859 11.566 0.252 416
5 partons 91 0.50 0.264 0.84 20.2 173.4 0.5766 3500 837 23.914 0.721 483
W→τv
2 partons 2032 0.20 0.415 0.104 87.7 233.2 0.4289 20450 9 0.044 0.015 4
3 partons 771 0.30 0.303 0.373 87.1 149.2 0.6703 13000 32 0.246 0.043 21
4 partons 273 0.40 0.245 0.686 45.9 119.9 0.8342 5500 79 1.436 0.160 66
5 partons 91 0.50 0.264 0.866 20.8 525.4 0.1903 10930 328 3.001 0.163 62
W + N Jets
64
Estimated Uncertainty on W+Jets
Process Alpgen cross section [pb]
Relative uncertainty
assigned to σ
Nexp,
low
estimate
Nexp,
central
value
Nexp,
high
estimate
W+2 partons 2032 20% 42 53 63
W+3 partons 771 30% 190 271 352
W+4 partons 273 40% 465 775 1085
W+5 partons 91 50% 400 800 1200
65
Selection EfficienciesProcess
Efficiency
pT(j) > 42 GeV
pT(j4) > 21 GeV
Efficiency
pT(j) > 40 GeV
pT(j4) > 20 GeV
Efficiency
pT(j) > 38 GeV
pT(j4) > 19 GeV
Uncertainty
due to ∆pT
Relative uncertainty
due to ∆pT
ttbar
tt→(evb)(jjb) 0.175 0.190 0.206 0.015 0.081
tt→(μvb)(jjb) 0.272 0.296 0.321 0.025 0.084
tt→(τvb)(jjb) 0.0388 0.0425 0.0461 0.0036 0.085
tt→(lvb)(lvb) 0.0772 0.0863 0.0950 0.009 0.103
tt→(jjb)(jjb) 0.0034 0.0036 0.0038 0.0002 0.061
Single top
Wt production 0.0603 0.0692 0.0799 0.01 0.14
s channel 0.0101 0.0122 0.0142 0.002 0.17
t channel 0.0321 0.0352 0.0396 0.004 0.11
W→ev
2 partons 0.00059 0.00080 0.00105 0.0002 0.28
3 partons 0.000549 0.00694 0.00903 0.002 0.25
4 partons 0.0468 0.0546 0.0627 0.008 0.14
5 partons 0.104 0.114 0.125 0.01 0.09
W→μv
2 partons 0.0136 0.0193 0.0264 0.007 0.33
3 partons 0.0208 0.0253 0.0323 0.007 0.23
4 partons 0.0996 0.1157 0.1318 0.016 0.14
5 partons 0.219 0.239 0.258 0.019 0.08
W→τv
2 partons 0.00034 0.00044 0.00049 0.0001 0.17
3 partons 0.0022 0.0025 0.0033 0.0008 0.22
4 partons 0.0124 0.0143 0.0173 0.003 0.17
5 partons 0.0275 0.0300 0.0325 0.002 0.08