Title: Observation%20of%20Electroweak%20Single%20Top%20Quark%20Production
 1Observation of Electroweak Single Top Quark 
Production
On behalf of the CDF Collaboration
Photo by Reidar Hahn Artwork by Jan Lueck
- Lawrence Berkeley National Lab , April 23rd 
2009 -
On behalf of the CDF Collaborations
- Lawrence Berkeley National Lab , April 23rd 
2009 - 
 2Observation of Electroweak Single Top Quark 
Production
The Way To Single Top Discovery
- Lawrence Berkeley National Lab , April 23rd 
2009 -
W. Wagner 
 3An Idea was Born  Production of Single Heavy 
Quarks..
In 1985, ten years before the top quark 
discovery, the idea of single top quark 
production was born..
Symmetry magazine Jan./Feb. 2007 
 4Top Quark History
- The search for the top quark lasted almost two 
decades.  - The big surprise was the huge mass! 
 - Single top quark production also predicted 
 - by the SM through an electroweak vertex
 
Discovered March 1995!
14 years!
?NLO  6.70.8pb (mt175GeV/c2)
Discovered March 2009!
s-channel ?NLO  0.880.07pb
t-channel ?NLO  1.980.21pb
B.W. Harris et al., Phys. Rev. D66, 054024 Z. 
Sullivan, Phys. Rev. D70, 114012. Campbell/Ellis/T
ramontano, Phys. Rev. D70, 094012 (2004). N. 
Kidonakis, Phys. Rev. D74, 114012 (2006). 
 5Tevatron Experiments
- Fermilabs Tevatron Run II pp collider at 1.96 
TeV  - Surpassed design luminosity (Record Inst. Lum. 
3.18 1032 cm-2sec-1)  - Two multi-purpose detectors (CDF,D0) in highly 
 - efficient data taking mode since 2002
 
Fermilab
CDF
1 km
D0
Tevatron 
 6A Long Way
CDF Single Top Results
4.2s Stronger Evidence ICHEP08
2.7 / fb
3.7s Strong Evidence Winter08 (PRL)
2.2 / fb
3.1s Evidence at LP07
PRD 71 (2005) 012005
1.5 / fb
0.16 / fb
2.5s Hint at DPF06
3.2/fb
Recorded Int. Luminosity (no GRL)
1.0 / fb
Moriond09 arXiv09030885 submitted to PRL 
 7Single Top Observation
On March 4th, 2009! both, CDF and DØ submitted 
observation papers to PRL
arXiv  09030850
arXiv  09030885 
 8Top Quark in the Standard Model
- Top Quark is heaviest particle to date 
 - mt173.1 ? 1.3 GeV/c2 Teavtron, March 2009 
 - Close to the scale of electroweak symmetry 
breaking  - Special role in the Standard Model? 
 - Top Quark decays within 10-24s 
 - No time to hadronize 
 - Unique to study a bare quark
 
  9Why measure Single Top Production ?
-  Source of 100 polarized top quarks 
 -  Short lifetime, information passed to decay 
products  -  Test (V-A) structure of W-t-b vertex 
 - Allows direct Measurement of CKM- matrix 
element Vtb  -  ?single top Vtb2 
 - Is there a 4th generation? 
 - Altered production rate could indicate source 
from beyond SM physics  -  Flavor changing neutral currents (t-channel), 
heavy resonances (s-channel) 
Precision EW rules out simple fourth generation 
extensions, but see J. Alwall et. al., Is 
Vtb1? Eur. Phys. J. C49 791-801 (2007).
s-channel
t-channel 
 10Single Top and Higgs
- Observing single top paves the way for low mass 
Higgs hunters  - Single top shares the same backgrounds and ?nal 
state as WHiggs  - Higgs cross section 10 smaller 
 - Single top is the last SM process to be observed 
at the Tevatron, before Higgs  
single top
WHiggs 
 11 The Challenge 
 12The Challenge
- Single Top production is a rare process at the 
Tevatron  - SignalBackground (SB)  1109 before doing 
anything  - First step 
 - Trigger and ID clean leptons/MET improves SB by 
a factor 106  - High pT lepton triggers (e,µ) 
 - MET  jets triggers (recover non-fiducial 
leptons  hadronic ? decays)  - Second step 
 - Topological event selection 
 - Efficient b-tagging 
 - Careful background estimates 
 - Third step 
 - Advanced analysis techniques to separate signal 
from background using discriminants  - SB gt 11 in most significant bins 
 
  13Top Quark Event Signature 
 14Single Top Candidate Selection
- High pT lepton  MET  jets Selection 
 - 1 Lepton, ET gt20 GeV, ?e(µ)lt 1.6 
 - Missing ET, (MET) gt 25 GeV 
 - 2 or 3 Jets, ET gt 20 GeV, ?lt 2.8 
 - Veto non-W, Z, Dileptons, Conversions, Cosmics 
 - At least one b-tagged jet (displaced secondary 
vertex tag   optional jet probability tag)  - MET  jets Selection 
 - MET gt 50 GeV 
 - Veto leptons 
 - ETgt 35 GeV (1st jet) andETgt 25 GeV (2nd jet) 
 - Same b-tag requirements as (1) 
 - Neural Network to suppress QCD background 
 - gt Orthogonal Event Selections (2) adds 33 
acceptance to (1)  
CDF W(l?)  2 jets Candidate Event Close-up View 
of Layer 00 Silicon Detector
12mm
ANNQCD
Run 205964, Event 337705 Jet 1 ET  62.8 GeV, 
 Lxy  2.9mm Jet 2 ET  42.7 GeV, Lxy  3.9mm 
 15Background Dominated Sample
- W2 jet topology not very distinct 
 - Signal/Background W2jetbtag  117 
 - Counting experiment impossible 
 - Many sources of background 
 - Dominant background is WJets 
 - No golden variable 
 - Signal and background distributions look similar 
 
single top signal
Need to make use of all single top 
characteristics to distinguish it from large 
backgrounds Use multivariate methods
- Mlvb shows top mass peak 
 - Neutrino ?MET (no pz) 
 - Suffers from Jet and MET 
 - resolution
 
Light quark jet follows beam direction Most 
powerful for t-channel 
 16CDF Single Top History
2006 Established sophisticated analyses Check 
robustness in data control samples
2004 Simple analysis while refining Monte Carlo 
samples and analysis tools
Phys. Rev. D71 012005
2 Years
- Development of powerful 
 - analysis techniques 
 - (Matrix Element, NN, 
 - Likelihood Discriminant) 
 - NN Jet-Flavor Separator 
 - to purify sample 
 - Refined background 
 - estimates and modeling 
 - Increase acceptance 
 - (forward electrons) 
 - 10x more data
 
2007 Evidence for single top quark production 
using 1.5 fb-1 (expected and observed!)
First Tevatron Run II result using 162 
pb-1 ?single top lt 17.5 pb at 95  C.L.  
 17 The Experimental Tools 
 18CDF Detector
h  1.0
- CDF is working well 
 -  integrated 5 fb-1 on tape 
 - - The analyses in this paper  use 3.2 fb-1 
 -  (All detector components ON) 
 - CDF is getting faster 
 - - 6 weeks turnaround time to  calibrate, 
validate and process raw data  
h  2.0
?
h  2.8
- Hadronic 
 - calorimeter 
 - Muon scintillator 
 - counters 
 - Muon drift 
 - chambers 
 - Steel shielding
 
- Silicon tracking 
 - detectors 
 - Central drift 
 - chambers (COT) 
 - Solenoid Coil 
 - EM calorimeter
 
Making best use of our detector and all 
subsystems! 
 19CDF b-quark Tagging and Jet Flavor Separation
b-tag  Identified 2nd vertex
Even with a fully reconstructed secondary 
vertex, 50 of the back-ground in the W  jets 
sample do NOT contain bottom quarks.
Charm tagging rate 9 Mistag rate  0.5-1
b like
c/l like
- Separate tagged b-jets from charm/light jets 
using NN trained on secondary vertex info  - Lxy, vertex mass, track multiplicity, impact 
parameter, semi-leptonic decay, etc...  - Used by all single top analyses as continuous 
analysis input  - 10-15 sensitivity increase (incl. systematics)
 
Neural Net Jet-Flavor Separator 
 20Filling the CDF Cracks
Muons from METjets trigger
High pT Muon Trigger
 METjet trigger
muon triggers
? rad
?
?
- Gain from METjets triggered events 
 -  30 gain in muon acceptance 
 -  10-14 gain in sensitivity
 
  21Background Estimate
Z/Dib
tt
Wbb
non-W
Mistags
- WHF jets (Wbb/Wcc/Wc) 
 - Wjets normalization from data and 
 - heavy flavor (HF) fraction from MC
 
Wcc
Wc 
 22Expected Event Yield
lepton  MET  2 jets event yield 3.2 
fb-1 (single  double SECVTX tag)
 MET 2 jets event yield 2.1 fb-1 (single  
double SECVTX tag, SECVTX  JetProb.)
s-channel 58.1  8.4
t-channel 87.6  13.0
Single top 145.7  21.4
tt 204.1  29.6
Dibosons 88.3  9.1
Z  jets 36.5  5.6
W  bb 656.9  198.0
W  cc 292.2  190.1
W  cj 250.4  77.2
W  light flavor 501.3  69.6
Non-W 89.6  35.8
Total background 2119.3  350.9
Total prediction 2265.0  375.4
Observed 2229 2229 2229
s-channel 29.6  2.7
t-channel 34.5  6.1
Single top 64.1  8.8
tt 184.5  30.2
Diboson 42.1  6.7
W  HF 304.4  115.5
QCD multijet 679.4  27.9
Total background 1339.9  170
Total prediction 1404  172
Observed 1411 1411 1411
30
Predicted total backgrounds known to 13-17 
 23Monte Carlo Validation
PTlepton
Untagged
single tagged 
double tagged 
 Checking hundreds of plots!
MT(W)
Untagged
single tagged 
double tagged 
J1(?)
single tagged 
double tagged 
Untagged 
 24 Analysis Techniques 
 25Analysis Flow Chart
CDF Data
Any technique to separate signal from 
background Likelihood function Matrix element 
 Neural network Boosted Decision Trees etc
Analysis Technique
Analysis Event Selection
Apply MC Corrections
Monte Carlo Signal/Background
Cross Section 
Signal Background
Template Fit to Data
Discriminant
Signal Significance 
 26Multivariate Analyses
? ? ?
METJets Neural-Net (MJ) NeroBayes 
Neural Net (NN) t-channel Likelihood 
function (LF) Dedicated s-channel LF 
(LFS) Boosted Decision Tree (BDT) Matrix 
Element Method (ME) 
 27Matrix Element Approach
Standard Event Simulation (Monte Carlo)
Matrix Element
Random Phase Space Point d?
Detector Simulation
Produces events with process specific Kinematics/
dynamics
Matrix Element Analysis
Event Probability
Transfer Functions
Matrix Element
For each possible underlying Process (Matrix 
Element)
Jet resolution functions is the probability of 
measuring a jet energy Ejet when Epart was 
produced 
 28Matrix Element Method
Event probability for signal and background 
hypothesis 
 29Event Probability Discriminant (EPD)
Take ratio of event probability densities as 
discriminant (EPD)
 b  b-jet probability
Signal
Background 
 30Validation in Data Control Samples
1 tag  QCD enriched sideband
Untagged
Untagged
ME
METjets
NN
Untagged
Tagged W4jets
Untagged
ME
LFS
BDT
Extensive cross checks to validate MC modeling 
before unblinding the signal region. 
 31Binned Maximum Likelihood Fit
We perform a binned maximum likelihood fit of 
discriminant templates to the data
Discriminant
Rate and
Shape systematics
- Rate systematics give fit templatesfreedom to 
move vertically only  - Shape systematics allow templates to slide 
horizontally (bin by bin) 
Systematic uncertainties can affectrate and 
template shape and are taken into account 
 32Template Shape Uncertainties
Factorization and renormalization scale
Jet energy scale 
Flavor Separator 
µf,r
Mistags
signal
Wbb
Mistags
-  A total of 370 shape uncertainties evaluated! 
 -  Each template, each source of shape error, each 
channel  (tags, jets, central and extended 
muon coverage)  -  Shape uncertainties affect sensitivity - most 
are quite small but some appreciable  
  33 The Combination
Combine and conquer 
 34Combination Strategy
-  Combination using Super Discriminant (SD) 
 - Treats outputs of analysis discriminantsas input 
to new discriminant  - Evolutionary neural networks trained to give the 
best expected p-value, not classification error 
function  - Candidate networks compete witheach other 
 - Gained 13 over most sensitive input 
 -  Optimization of 
 -  - Network topology 
 -  - Inter-node weights 
 -  - Histogram binning 
 -  
 
Neuro-Evolution of Augmenting Topologies (NEAT)
K O. Stanley and R. Miikkulainen, Evolutionary 
Computation 10 (2) 99-127(2002) 
2-jet 1-Tag Tight Lepton
Channels are divided up at least as finely as any 
ingredient analysis (2 jets  3 jets), (1 tag 
 2 tags), (2 Lepton Categories)  8 Channels 
 35Hypothesis Testing
p-value  probability of upward fluctuation of 
background to the data or something even more 
signal-like Outcomes are rank ordered as 
signal-like using -2lnQ
Background-Like Outcomes
Signal-Like Outcomes
?  nuisance parameters
Neyman-Pearson Lemma Q is the uniformly most 
powerful test
100M pseudo- experiments
sb outcome
Fit for WLF and WHF normalization. Fluctuate 
all nuisance parameters in pseudo-experiments
Expected p-value 
 36 Results
Note All measurements were performed with the 
discriminant distributions blinded until all 
aspects of the analysis were under 
control Essential requirement for a 
statistically limited analysis like single top 
 37Discriminants of Individual Analyses
5.2?
4.9?
4.0?
2.0?
5.2?
Discriminants normalized to prediction  expected 
sensitivities 
 38Combination
Perform combined cross section fit over the two 
 orthogonal analyses (SD  MJ)
High pT lepton  MET  jets
MET  jets 
1.4?
gt5.9? 
 39Cross Sections
CDF Combination (All Channels) 
 40Direct Measurement of Vtb
- Using cross section result measure Vtb 
 - Assume Standard Model (V-A) coupling 
 - and Vtb gtgt Vts, Vtd 
 - (from BR(t ?Wb) measurements)?
 
Vtb
CDF combined fit
Vtbgt0.71 at 95 C.L.
Z. Sullivan, Phys.Rev. D70 (2004) 114012
Vtb 0.91  0.11 (statsyst)  0.07 (theory)? 
 41Signal Significance
5s Observation!
Analysis Significance Std.Dev. (s) Sensitivity Std.Dev. (s)
NN 3.5 5.2
ME 4.3 4.9
LF 2.4 4.0
LFS 2.0 1.1
BDT 3.5 5.2
SD 4.8 gt5.9
MJ 2.1 1.4
Combined 5.0 gt5.9
3.1 x 10-7
400 Mio pseudo-experiments!
Expected p-value  xxx x10 -10 gt5.9s Observed 
p-value 3.1 x10-7  5.0s 
 42A Golden Event
Event taken 2007/05/27
light jet ET  52 GeV
electron PT  66 GeV/c
b-tagged jet ET  38 GeV 
 43Signal Features
SDgt0.72
HT /GeV
rec
Q x ?
MTop /GeV
rec
 Purity S/B  1.2 
 44Observation of Electroweak Single Top Quark 
Production
The Way To Single Top Discovery
- Lawrence Berkeley National Lab , April 23rd 
2009 -
On behalf of the CDF Collaborations
- Lawrence Berkeley National Lab , April 23rd 
2009 - 
 45Summary and Outlook
- We report Observation (5s) of electroweak single 
top quark production  - Important milestone for the Tevatron Run II 
program  - Direct measurement of the CKM matrix element  
Vtb0.91  0.11 (statsyst)  0.07 (theory) 
(CDF)  -  
 - Established new source of top quarks which allows 
to measure  - properties of top quark 
 - Advanced analysis tools were essential to 
establish the small  - signal buried underneath large backgrounds 
 - We developed and applied new experimental tools 
 - Important milestone along the way to the Higgs! 
 - All Standard Model backgrounds for Higgs searches 
are  - now firmly established 
 -  
 - Exciting times! Moving on to the Higgs Boson..!
 
Wresonances
preciseVtb
top FCNC production
top quark polarization 
 46D0 Results
5s Observation! 
 47Progress on Higgs at the Tevatron
- Recent progress 
 - Added acceptance from complementary trigger paths 
  - Increase acceptance by adding new ?nal state 
signatures  - Improved lepton identification 
 - Better b-quark tagging and flavor purifiaction 
 - Improved reconstruction Jet corrections 
 - Improved QCD rejection 
 - Advanced multivariate techniques MEBDT/NN
 
Combine all channels using information about SM 
ratios