CDF Top Quark Mass Measurement with the Matrix Element …eddata.fnal.gov/lasso/summerstudents/papers/2016/Gabriele-Franciolini.pdf• Lepton + jets events: one W boson decay hadronically,
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Gabriele Franciolini, University of Pisa (Supervisor: George Velev, FNAL)Fermilab Summer School - Final presentation22 September 2016
CDF Top Quark Mass Measurement with the Matrix Element Method
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Outline
• Top mass measurements
• Channel and Event Selection
• Matrix element method
• Study of the integration methods: pMC, qMC
• Analysis of the preliminary results with the new TF
• Study of the sensitivity to the
• Future development of the analysis
2
�JES
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Tevatron Collider• Proton - Antiproton collider• Completed in 1983• Main achievement: Top quark discovery, 1995• Energy reached Run II:
3
• Lead in top physics:• Production properties
(cross sections, AFB)• Decay properties (width, BR)• Intrinsic properties (mass,
spin, charge)• Exotic searches involving
top quarks
ps = 1.96 TeV
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Top Mass Measurement: Previous results
4
World comb. 2014 : Precision0.44%
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Top Mass measurements: Advances in Precision
• D0 final measurement in lepton+jets:
( precision) PRL 113, 032002 (2014); PRD 91, 112003 (2015)
• CMS 7 + 8 TeV measurements in all channels: (Latest)
PRD 93, 072004 (2016)
( precision!)
• CDF latest measurement aim:
• Reach the highest possible precision From CDF Data.
• Examine tension between LHC and Tevatron Results
5
0, 43%
mt = 174.98± 0.58stat+JES ± 0.49syst GeV/c2 = 174.98± 0.76 GeV/c2
mt = 172.44± 0.13stat ± 0.44syst GeV/c2 = 172.44± 0.48 GeV/c2
0.28%
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
CDF Top Mass Measurement: Channels
• Top decay Branching Ratio:
• decay signatures: • Dilepton events: both W bosons decay into an or final state.
- Lowest branching ratio: ( including leptons) -Two undetected neutrinos: Unconstrained kinematics
• Hadronic events: both W bosons decay hadronically (6 jets)- Highest branching ratio:
- Large QCD multi-jet background
• Lepton + jets events: one W boson decay hadronically, the other into an or .-Characterised by an isolated lepton, four jets, missing transverse energy.
-Branching ratio: (𝝉 events included) events: if decays into or , it appears in the electron/muon+jets signal sample.
6
tt̄
e⌫ µ⌫
⇠ 7% ⌧
⇠ 55%
e⌫ µ⌫
⇠ 38%
⌧⌧ e µ
t ! Wb ⇠ 100%
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
CDF Top Mass Meas.: L+jets event selection / Background
• Lepton + jets: event signature:• High transverse momentum charged lepton;• Large missing transverse energy (escaping neutrino from W decay in the final state);• At least 4 jets;
• Tight or loose jets:• Tight jet: , • Loose jet: ,
• 5 subsamples based on the number of identified (tagged) b-jets (T or L):• 0-tag, 1-tagL, 1-tagT, 2-tagL, 2-tagT.
• Background: non- events that mimics the L+jets signature:• W+jets (W+ , W+ , W+ , W+LF) Included in the Likelihood • QCD (“fake” electrons, secondary electron): reduced by selection cuts.• other: (Single-top, Diboson (WW,WZ,ZZ), Z+jets)
7
pT/ET
ET > 20GeV |⌘| 6 2.0
|⌘| 6 2.4ET > 12GeV
tt̄
bb̄ cc̄ c
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
CDF Latest measurement: Improvement respect to past analysis• Increase of Integrated Luminosity: Exploiting the full CDF Run II Dataset.• from 5.6 fb-1 to 9.0 fb-1 : ~ 60% more data;
• Inclusion of new sample categories:• untagged category: 0-tag;• loose categories: 1-tagL, 2tagL;
• For the first time in CDF analysis the Background Matrix Element modelling of the likelihood is included;
• Inclusion and refinement of the quasi-MC method in the Integration code;
• Smaller systematic uncertainties on the final measurement by introducing several new signal and background modelling;
• NLO signal MC: Reduction of uncertainty in Calibration Procedure
8
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Matrix Element Technique
• Full kinematic and topological information in any event is considered.• Calculation of the Matrix element to find the probability for the event:• Integration over phase space
• 32 variables of integration: 19 variables of integration:
• Signal and Background: for different
• Likelihood:
• Calibration of Method: • Pseudo-experiment to correct biases and missing background modelling• A fast and reliable integration algorithm is essential
9
(mt,�JES)
d�(x) [tt̄ ! b(l⌫)b(qq0)]
constraints
Lev(y|mt,�JES) = a(fsig)Lsig(y|mt,�JES) + b(fbkg)Lbkg(y|�JES)
Ltot
(y|mt
,�JES
) =NY
i=1
Lev
(y|mt
,�JES
)
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Validation of the integration method : Pull Distribution pMC• pMC integration: Random sequence of points with importance sampling;
• Relative error behaviour:
• Pull distribution: Mean:
Standard dev:
Pull variable:
10
�I/I ⇠ O(N�1/2)
�k,ij,l =Wk,ij,l� < Wk,ij >
�k,ij
< Wk,ij >=1
N
NX
l=1
Wk,ij,l
�k,ij =
vuut 1
N � 1
NX
l=1
(Wk,ij,l� < Wk,ij >)2
k = event
i, j = (�JES ,Mt) bins
l = integration
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
PullEntries 1.953521e+07Mean 10− 2.885eStd Dev 0.977Underflow 0Overflow 44Integral 1.954e+07Skewness 0.2166−
/ ndf 2χ 1.901e+05 / 823Prob 0Constant 2.207e+01± 8.112e+04 Mean 0.000229±0.001281 − Sigma 0.0001± 0.9514
Pull5− 4− 3− 2− 1− 0 1 2 3 4 5
Freq
uenc
y
0
10000
20000
30000
40000
50000
60000
70000
80000
PullEntries 1.953521e+07Mean 10− 2.885eStd Dev 0.977Underflow 0Overflow 44Integral 1.954e+07Skewness 0.2166−
/ ndf 2χ 1.901e+05 / 823Prob 0Constant 2.207e+01± 8.112e+04 Mean 0.000229±0.001281 − Sigma 0.0001± 0.9514
Pull distribution
Validation of the integration method : Pull Distribution pMC
• Problem in the pull distribution: 2 events gave a spike
11
�k,ij,l 8(k, i, j, l) (l 2 [1, 22])
3− 2− 1− 0 1 2 3
160165
170175
1801850
0.005
0.01
0.015
0.02
0.025
0.03
Profile_1Profile_1
Entries 961Mean x 1.806− Mean y 177.6Std Dev x 1.174Std Dev y 7.849Integral 2.647Skewness x 1.353Skewness y 0.7309− 0 0 0 0 2 0 0 0 0
Profile_1
3− 2− 1− 0 1 2 3
160165
170175
1801850
0.02
0.04
0.06
0.08
0.19−10×
Profile_2Profile_2
Entries 14415Mean x 2.343− Mean y 185.7Std Dev x 0.91Std Dev y 2.059Integral 10− 7.017eSkewness x 2.3Skewness y 2.3− 0 0 0 0 0 0 0 0 0
Profile_2Entries 14415Mean x 2.343− Mean y 185.7Std Dev x 0.91Std Dev y 2.059Integral 10− 7.017eSkewness x 2.3Skewness y 2.3− 0 0 0 0 0 0 0 0 0
Profile_2
(�)
(�)(GeV/c2)
(GeV/c2)
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method12
Validation of the integration method : Pull Distribution pMC
�k,ij,l 8(k, i, j, l) {l 2 [1, 22] ^ k 6= (58, 330)}
• integrations with random seed of ~1000 events (MC, , , 1TagT)
PullEntries 1.949292e+07Mean 10− 3.102eStd Dev 0.977Underflow 0Overflow 0Integral 1.949e+07Skewness 0.2116−
/ ndf 2χ 1.864e+05 / 823Prob 0Constant 2.203e+01± 8.092e+04 Mean 0.000229±0.001784 − Sigma 0.0001± 0.9519
Pull5− 4− 3− 2− 1− 0 1 2 3 4 5
Freq
uenc
y
0
10000
20000
30000
40000
50000
60000
70000
80000
PullEntries 1.949292e+07Mean 10− 3.102eStd Dev 0.977Underflow 0Overflow 0Integral 1.949e+07Skewness 0.2116−
/ ndf 2χ 1.864e+05 / 823Prob 0Constant 2.203e+01± 8.092e+04 Mean 0.000229±0.001784 − Sigma 0.0001± 0.9519
Pull distribution
mt = 173 GeV/c2 �JES = 0 �
22
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Validation of the integration method : Pull Distribution qMC
• qMC integration: sobol sequence of points instead of random sequence;
• Sobol sequence: LDS (Low-discrepancy sequence) (uniformly spread across the integration domain)
• Expected relative error:
• Introduction of random scrambling: Owen + Faure-Tezuka: random scrambling preserving LDS
• Importance sapling embedded in the code;
• Expected faster convergence of the integral.
13
�I/I ⇠ O(N�1+")
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Validation of the integration method : Pull Distribution qMC
• Problem in the pull distribution: the same problematic events.
14
�k,ij,l 8(k, i, j, l) (l 2 [1, 22])
3− 2− 1− 0 1 2 3
160165
170175
1801850
0.005
0.01
0.015
0.02
0.025
0.03
Profile_1Profile_1
Entries 961Mean x 1.806− Mean y 177.6Std Dev x 1.174Std Dev y 7.849Integral 2.647Skewness x 1.353Skewness y 0.7309− 0 0 0 0 2 0 0 0 0
Profile_1
3− 2− 1− 0 1 2 3
160165
170175
1801850
0.02
0.04
0.06
0.08
0.19−10×
Profile_2Profile_2
Entries 14415Mean x 2.343− Mean y 185.7Std Dev x 0.91Std Dev y 2.059Integral 10− 7.017eSkewness x 2.3Skewness y 2.3− 0 0 0 0 0 0 0 0 0
Profile_2Entries 14415Mean x 2.343− Mean y 185.7Std Dev x 0.91Std Dev y 2.059Integral 10− 7.017eSkewness x 2.3Skewness y 2.3− 0 0 0 0 0 0 0 0 0
Profile_2
PullEntries 1.524338e+07Mean 10− 9.001eStd Dev 0.977Underflow 0Overflow 0Integral 1.524e+07Skewness 0.2098−
/ ndf 2χ 1.01e+05 / 830Prob 0Constant 1.98e+01± 6.28e+04 Mean 0.00026± 0.00407 Sigma 0.0002± 0.9619
Pull5− 4− 3− 2− 1− 0 1 2 3 4 5
Freq
uenc
y PullEntries 1.524338e+07Mean 10− 9.001eStd Dev 0.977Underflow 0Overflow 0Integral 1.524e+07Skewness 0.2098−
/ ndf 2χ 1.01e+05 / 830Prob 0Constant 1.98e+01± 6.28e+04 Mean 0.00026± 0.00407 Sigma 0.0002± 0.9619
Pull distribution
(�)
(�)(GeV/c2)
(GeV/c2)
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Validation of the integration method : Pull Distribution qMC
• integrations with random seed of ~1000 events (MC, , , 1TagT)
15
22
mt = 173 GeV/c2 �JES = 0 �
�k,ij,l 8(k, i, j, l) {l 2 [1, 22] ^ k 6= (58, 330)}
PullEntries 1.52011e+07Mean 10− 9.062eStd Dev 0.977Underflow 0Overflow 0Integral 1.52e+07Skewness 0.2008−
/ ndf 2χ 9.588e+04 / 830Prob 0Constant 1.976e+01± 6.259e+04 Mean 0.000256± 0.003337 Sigma 0.0002± 0.9629
Pull5− 4− 3− 2− 1− 0 1 2 3 4 5
Freq
uenc
y
0
10000
20000
30000
40000
50000
60000
PullEntries 1.52011e+07Mean 10− 9.062eStd Dev 0.977Underflow 0Overflow 0Integral 1.52e+07Skewness 0.2008−
/ ndf 2χ 9.588e+04 / 830Prob 0Constant 1.976e+01± 6.259e+04 Mean 0.000256± 0.003337 Sigma 0.0002± 0.9629
Pull distribution
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
q-MC vs p-MC: estimation of precision
Given same termination parameters: (time, max n points, precision) Compare the histograms of:
More quantitative testing needed: time and convergence.
16
qMCEntries 690959Mean 0.09363Std Dev 0.07291Underflow 0Overflow 1091Integral 6.899e+05Skewness 5.177
µ/σ0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
N
0
2000
4000
6000
8000
10000
12000
qMCEntries 690959Mean 0.09363Std Dev 0.07291Underflow 0Overflow 1091Integral 6.899e+05Skewness 5.177
qMCpMC
Entries 887964Mean 0.1144Std Dev 0.07336Underflow 0Overflow 1982Integral 8.86e+05Skewness 4.798
µ/σ0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
N0
2000
4000
6000
8000
10000
12000
pMCEntries 887964Mean 0.1144Std Dev 0.07336Underflow 0Overflow 1982Integral 8.86e+05Skewness 4.798
pMC
rk,ij =�k,ij
< Wk,ij >8 k, i, j
< rk,ij >= 0.094 < rk,ij >= 0.11
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
New Transfer Functions
• Transfer Functions. Probability density relating:
measured quantities parton-level quantities (observed in detectors) (used for ME calculation)
• TF can be factorised in:
• New TF derived from MC simulations including loose categories ( ):• 1TagL• 2TagL
• For event with only tight categories old/new should produce the same results
17
T (x|y,�JES)
Et > 12GeV
T (x|y,�JES) = Ta(⌘jet,�jet|⌘part,�part)Tm(pt,jet|pt,part)
⌘jet,�jet, pt,jet ⌘part,�part, pt,part
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
MC Generated: PYTHIA, , , 0Tag category.
Old TF New TF
18
Comparison between New/Old TF: Single event
Event Ntight NLoose nbtags missingEt ev.lpt jet1pt jet2pt jet3pt jet4pt
7 4 0 0 49.4882 52.4504 64.0641 70.1314 40.4148 28.5606
Mt = 170GeV/c2 �JES = 0�
(�)(�)(GeV/c2)
(GeV/c2)
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
1000 ev MC Generated: PYTHIA, , ,1TagT.
19
Comparison between New/Old TF
LogL
400
600
800
1000
1200
1400
1600
1800
LogL
JES∆
3− 2− 1− 0 1 2 3
tM
160
165
170
175
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185 LogL
400
600
800
1000
1200
1400
1600
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LogL
LogL
5400
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5800
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LogL
JES∆
3− 2− 1− 0 1 2 3
tM
160
165
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180
185 LogL
5400
5600
5800
6000
6200
6400
6600
LogL
Mt = 170GeV/c2 �JES = 0�
(�)(�)
(GeV
/c2)
(GeV
/c2)
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Study of the sensitivity on Djes
• Analysis of 3 MC samples with different parameters:• signal events, , , 1TagT & 2TagT categories; • 10000 events for every sample.
• Calculate total : ;
• Create 1D histogram of profiled likelihood: , ; (using the profiled likelihood method)
• Extract , (assuming gaussian behaviour of the likelihood in the limit of large statistics);
• Plot the dependency , to the input ;
• Expected linear dependency to be corrected with calibration.
20
Mt = 172.5GeV/c2
log(L)
logL(Mt) logL(�JES)
�JESMt
Mt �JES
�JES,MC = {�1, 0,+1}
�JES,MC
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Study of the sensitivity on Djes
21
�JES,MC = �1�
tM160 165 170 175 180 185
LogL
13000
14000
15000
16000
17000
18000
LogLLogL
JES∆3− 2− 1− 0 1 2 3
LogL
13000
14000
15000
16000
17000
18000
LogLLogL
JES∆2− 1.9− 1.8− 1.7− 1.6− 1.5−
tM
171
171.5
172
172.5
173
173.5
LogL
(�)
(�)
(GeV
/c2)
(GeV/c2)
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Study of the sensitivity on Djes
22
�JES,MC = 0�
JES∆3− 2− 1− 0 1 2 3
LogL
15000
15500
16000
16500
17000
17500
18000
18500
19000
LogLLogL
tM160 165 170 175 180 185
LogL
13000
14000
15000
16000
17000
18000
19000
LogLLogL
JES∆1.6− 1.5− 1.4− 1.3− 1.2− 1.1− 1−
tM
170
170.5
171
171.5
172
LogL
(�)
(�)
(GeV
/c2)
(GeV/c2)
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Study of the sensitivity on Djes
23
JES∆3− 2− 1− 0 1 2 3
LogL
18000
18500
19000
19500
20000
20500
LogLLogL
tM160 165 170 175 180 185
LogL
15000
16000
17000
18000
19000
20000
21000
LogLLogL
�JES,MC = 1�
JES∆1.1− 1− 0.9− 0.8− 0.7−
tM
168.5
169
169.5
170
170.5
171
LogL
(�)
(�)
(GeV
/c2)
(GeV/c2)
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Study of the sensitivity on Djes
Linear dependence: expected to be corrected with calibration!
24
SampleJES∆1− 0.5− 0 0.5 1
JES
∆
1.8−
1.6−
1.4−
1.2−
1−
0.8− / ndf 2χ 30 / 1− 4.93eProb 1p0 0.02696±1.32 − p1 0.03179± 0.42
/ ndf 2χ 30 / 1− 4.93eProb 1p0 0.02696±1.32 − p1 0.03179± 0.42
Sample)JES∆ (JES∆
SampleJES∆
1− 0.5− 0 0.5 1
M_t
169.5
170
170.5
171
171.5
172
172.5
/ ndf 2χ 0.375 / 1Prob 0.5403p0 0.1155± 171 p1 0.1414±1.25 −
/ ndf 2χ 0.375 / 1Prob 0.5403p0 0.1155± 171 p1 0.1414±1.25 −
Sample) JES∆M_t (
(�)(�)
(�)
(GeV
/c2)
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Future development of the analysis
• Further understand of qMC integration and implement error estimation;
• Include total cross section and acceptance as normalisation of the weights;
• Study the sensitivity on and with the complete weight definition;
• Debug the new TF;
• Test the methods for loose categories;
• Combine signal and background likelihood;
• Final calibration (pseudo-experiments);
25
Mt�JES
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Backup Slides
26
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Matrix Element Method: Motivation
• Provides superior Statistical sensitivity in the extraction of SM parameters;
• Completeness of information exploited in each event:• The superior sensitivity is achieved by taking into account the full topological and
kinematic information in a given event;
• Can be used to determine several parameters:• Theoretical parameters describing the physics of the processes measured;• Experimental parameters: describing the detector response;
• Theoretical assumption about the process under study (PDF, ME, TF) are used in the most efficient manner:• In the limit which all the event probabilities are known, by the Neyman-Pearson Lemma,
the likelihood is an optimal test statistic.
27
22 Sep 2016 Gabriele Franciolini | CDF Matrix element measurement of Top quark mass
Validation of the integration method : Pull Distribution qMC• qMC integration: sobol sequence of points instead of random sequence;
• Sobol sequence: LDS (Low-discrepancy sequence)
• Koksma–Hlawka inequality:
• Expected relative error: (faster convergence)
• Owen + Faure-Tezuka scrambling preserving LDS
• Importance sapling embedded in the code.28
�����1
N
NX
i=1
f(xi)�Z
Is
f(u)du
����� V (f)D⇤N (x1, ..., xn)
�I/I ⇠ O(N�1+")
D⇤N (PN ) = Supa2A
����#{PN 2 A}
N� �(A)
���� , A =dY
i=1
[0, bi) 8bi s.t. 0 bi < 1
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Integration Framework: Fermigrid
Director Libraries, paths …
Master Events
Workers: 1 2 3 4 5 6 …
• Program installation;• Learn job submission procedure;• Learn program errors handling;
• Learn to analyse data format consistent with ME analysis code
29
Local Machine
FermiGrid
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Signal and Background : Monte Carlo Samples / Validation
• Signal:• signal: Powheg + Phytia S.Frixione et al., JHEP07 (2007)
• Background:• W/Z + jets: Alpgen+Pythia M.L. Mangano et al. JHEP0307:001 (2003)• Diboson: Pythia 6 T. Sjöstrand et al., JHEP06, 026 (2006)• Single top: Madgraph 4 + Pythia J. Alwall et al., JHEP09, 028 (2007) • QCD: Data with lepton failing one of the “good lepton” criteria
• Validation of Samples:• Validation plots : C. Tosciri-Laurea-University of Pisa• Compare quantity of interest between data and MC events of the samples
30
tt̄
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Signal and Background: MC samples - Validation Plots
31
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Backup Slides: Systematic Uncertainties
32
Bkg in Lev
New sgn MC
Remove overlap
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Backup Slides: Expected and Observed Sample composition
Expected and Observed Sample composition
33
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Backup slides: Selection requirements for event-category
Selection requirements for event-category
34
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Matrix Element Technique 2
• Determines from:• Vector of observed data: event kinematics • Vector of model parameters: ,
• Probability: Integration over all phase space
• 32 variables of integration: 19 variables of integration:2 initial particles (8 var.) constraints 6 final particles (24 var.)
• Signal and Background for different
• Likelihood:
35
a
y
�! mt �JES
(mt,�JES)
d�(x) [tt̄ ! b(l⌫)b(qq0)]
� = lnpqpq0
, ~pT (tt̄), m1...4, ⌘1...4, �1...4
M2t,lep, M2
t,had, M2W,lep, M2
W,had
Pev(y|mt,�JES) = A(y)[fPsig(y|mt,�JES) + (1� f)PW+jets(y|�JES)]
L(y|mt,�JES) =NY
i=1
Pev(y|mt,�JES)
Pev(y|a)�!
22 Sep 2016 Gabriele Franciolini | CDF Top mass measurement with matrix element method
Comparison between New/Old TF
100 ev MC Generated: PYTHIA, , , 0Tag.
Old TF New TF
36
LogL
60
80
100
120
140
LogL
JES∆
3− 2− 1− 0 1 2 3
tM
160
165
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175
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185 LogL
60
80
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140
LogL
LogL
460
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LogL
JES∆
3− 2− 1− 0 1 2 3
tM
160
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185 LogL
460
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580
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LogLMt = 170GeV/c2 �JES = 0�
(�)(�)
(GeV
/c2)
(GeV
/c2)
top related