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QCD at the Tevatron
Iain Bertram
Lancaster University
DØ Experiment
6 June 2001 - Bristol
6 June 2001 Iain A Bertram 2
Outline
Introduction to Tevatron KinematicsDØ – CDF Detectors
Jet Cross SectionsJet Structure
PhotonsRun II @ DØ Conclusions
Caveat: This is not the entire Tevatron QCD program – that is impossible in one hour. I have chosen the topics I consider
to be most important.
6 June 2001 Iain A Bertram 3
Hadron-hadron collisions
fragmentation
partondistribution
partondistribution
Jet
Underlyingevent
Photon, W, Z etc.
ISRFSR
Hard scattering
6 June 2001 Iain A Bertram 4
Measured Event Variables In a event the following are measured:
massless coscosh2
2/tanln ,, :electron or Jet
21212,1,2
TT
T
EEM
E
Jet, electron 2: ET
2, 2, 2
Jet, electron 1: ET
1, 1, 1
= 0
2tanln
:dityPsuedorapi
6 June 2001 Iain A Bertram 5
The Detectors (Run I 1993-95)
s 1.8 TeV W/Z’s ~40k/3k for mass
Luminosity 21031 ttbar ~10-100 events
Ldt ~100 pb-1 Higgs negligible
6 June 2001 Iain A Bertram 6
DØ Calorimeter: Run I
Full Coverage: || < 4.1Segmentation: =0.10.1 (=0.050.05 EM shower max)
Single Electron Response: 0.15/E + 0.003Single Hadron Response: 0.5/E + 0.004Depth:
6 June 2001 Iain A Bertram 7
Jets at the Tevatron
Mostly Fixed cone-size jets Add up towers
Iterative process Jet quantities:
ET, ,
Correct to Particles Do not include underlying
event. Model underlying event with
Minimum bias event (inelastic scattering)
q
Tim
e
p p
q g
K
“par
ton
jet”
“par
ticle
jet”
“cal
orim
eter
jet”
hadrons
CH
FH
EM
0.7R
towerT
jetT
i
EE
0.7R
towerT
jetT
i
EE
6 June 2001 Iain A Bertram 8
“Typical DØ Dijet Event”
ET,1 = 475 GeV, 1 = -0.69, x1=0.66ET,2 = 472 GeV, 2 = 0.69, x2=0.66
MJJ = 1.18 TeVQ2 = ET,1×ET,2=2.2x105 GeV2
6 June 2001 Iain A Bertram 9
Tevatron x-Q2 Reach
Overlaps and extends reach of HERA
6 June 2001 Iain A Bertram 10
Inclusive Jet Cross Section
TT
jet
TT
TE
LdtE
N
ddE
dEdd
E vs.
1 2
T
T
jet
TT
TE
LdtE
N
ddE
dEdd
E vs.
1 2
bin in the jets of #
Luminosity inst.sizebin
efficiencyselection sizebin
jet
TT
N
L
EE
bin in the jets of #
Luminosity inst.sizebin
efficiencyselection sizebin
jet
TT
N
L
EE
X jet pp X jet pppQCD, PDFs, substructure,..?
d2 /d
ET d
ET
How well do we know proton structure (PDFs)
? Is NLO (s
3) QCD “sufficient” ? Are quarks composite ?
6 June 2001 Iain A Bertram 11
Inclusive Jet Cross Section
CDF: 0.1 < || < 0.7
Good Agreement with NLO QCD
DØ: PRL:82 2451 (1999) , hep-ex/0012046 (acc PRD)
CDF: hep-ph/0102074 (acc PRD)
6 June 2001 Iain A Bertram 12
Theory Uncertainties
NLO pQCD predictions (s
3): - Ellis, et al., Phys. Rev. D, 64, (1990) EKS- Aversa, et al., Phys. Rev. Lett., 65, (1990)- Giele, et al., Phys. Rev. Lett., 73, (1994) JETRAD
Choices (hep-ph/9801285, EPJ C5, 687, 1998): Renormalization Scale
(~10%) PDFs (~20% with ET
dependence) Clustering Alg. (~5% with
ET dependence)
6 June 2001 Iain A Bertram 13
Comparisons with CDF
DØ analyzed 0.1 < || < 0.7 to compare with CDF
Good Agreement
If we calculate 2 between DØ data and fit to CDF and its uncertainties:
2 = 30.8 (0.16)
6 June 2001 Iain A Bertram 14
No indication of an excess above 350 GeV. Good agreement quantitatively
as indicated by 2 test:
Di and Ti data and theory, Cij covariance matrix.
2 = (Di-Ti) C-1ij (Dj-Tj)
DØ Comparisons to NLO Theory
|| < 0.5 0.1 <|| < 0.7
CTEQ 3M 25.3 (0.39) 32.7 (0.11)
CTEQ4M 20.1 (0.69) 26.8 (0.31)
CTEQ4HJ 16.8 (0.86) 22.4 (0.56)
MRS(A’) 20.4 (0.67) 28.5 (0.24)
MRST 25.3 (0.39) 29.6 (0.20)
6 June 2001 Iain A Bertram 15
No indication of an excess above 350 GeV. Good agreement quantitatively as indicated by 2 test:
2 = 2stat + S2
CDF Comparisons to NLO Theory
33 bins 0.1 <|| < 0.7
CTEQ4M 63.4
CTEQ4HJ 46.8
MRST 49.5
S2 is a contribution depending on the best fit to the uncertainties
6 June 2001 Iain A Bertram 16
DØ Forward Jets
QCDJETRADQCDJETRAD QCDJETRADQCDJETRAD
ET
d2
dE
T d
(fb
/GeV
)
Phys.Rev.Lett. 86 1707 (2001)
6 June 2001 Iain A Bertram 17
Comparison to Theory
Closed: CTEQ4HJ Open: CTEQ4M Closed: MRTSg Open: MRST
6 June 2001 Iain A Bertram 18
Quantitative Comparison
Discriminates between PDF Now being used by CTEQ and MRST to restrict
gluons to 20% level (see DIS 2001 http://dis2001.bo.infn.it/wg/sfwg.html)
PDF dof ProbCTEQ3M 121.56 1.35 0.01CTEQ4M 92.46 1.03 0.41CTEQ4HJ 59.38 0.66 0.99MRST 113.78 1.26 0.05MRSTgD 155.52 1.73 <0.01MRSTgU 85.09 0.95 0.63
6 June 2001 Iain A Bertram 19
What have we learned?
These results extend significantly the kinematic reach of previous studies and are consistent with pQCD calculations over the large dynamic range accessible (| | < 3).
Once incorporated into revised modern PDFs, these measurements will greatly improve our understanding of the structure of the proton at large x and Q2.
Are gluon distributions at large x enhanced? factor 20 more data in Run II, starting summer 2001,
will extend the reach to higher ET and should make the asymptotic behaviour clearer
6 June 2001 Iain A Bertram 20
KT Jet Algorithm
R=0.7
0
Jet Seeds
Calorimeter ET
Snowmassi
TiT EE
2
22
,2
,, ),min(D
REEd
ijjTiTji
2,JetTcutEy
resolution parameter Jet ET
KT Jet Algorithm:
Cone jet
KT jet (D=1)
jiij
jiij
EEE
ppp
Fixed Cone Algorithm:
6 June 2001 Iain A Bertram 21
Jet Cross Section using KT
KT with D=1.0, equals NLO cross section with Cone R=0.7
Energy difference between KT and cone causes difference in cross section
1-2 GeV Difference caused by Hadronic Showering effects
(parton to particle) Underlying Event Showering
Difference with theory most at low ET.
2=27 (31%)
2=31/24 (31%)
2=27 (31%)
24 d.o.f.
6 June 2001 Iain A Bertram 22
Ratio of Cross Sections
Express Inclusive Jet Cross Section as dimensionless quantity
as a function of
Theory uncertainties could be reduced to 10%
Experimental Uncertainties Cancel
ddEdE
T
T23
2
sE
x TT
2
Naive Parton Model = 1
6 June 2001 Iain A Bertram 23
Ratio of Cross Sections
Phys.Rev.Lett.86,2523 (2001); hep-ex/0012046
Data 10-15% below NLO QCD
No obvious problem:
Interesting!Agreement Probability
(from test) with CTEQ4M, CTEQ4HJ, MRST, MRSTGU:
25-80%
6 June 2001 Iain A Bertram 24
Comparison with CDF
Consistent at high xT, possible discrepancy at low values
6 June 2001 Iain A Bertram 25
Suggested explanations
Different renormalizationscales at the two energies OK, so it’s allowed, but . . .
Mangano proposes an O(3 GeV)non-perturbative shift in jet energy losses out of cone underlying event intrinsic kT
could be under or overcorrecting the data (or even different between theexperiments — DØ?)
6 June 2001 Iain A Bertram 26
Dijet Mass Spectrum
Experiments in excellent agreement.
Different rapidity ranges and very different analysis techniques.
Reasonable agreement with predictions.
Nevents
L M
6 June 2001 Iain A Bertram 27
Dijet Mass Cross Section Ratio
2.4 TeV (95% confidence level)
SystematicUncertainty ~ 8%
Theory uncertainty ~
6% (m) , 3% (PDF)
NLO QCD in good agreement with data
2
sC
sL
< 0.5 ) / 0.5 < 1 ) (s=1800 GeV ) PRL 82, 2457-2462, 1999
6 June 2001 Iain A Bertram 28
BFKL
In hadron-hadron collisions:
Q2
1/x
DGLAP (Dokshitser-Gribov-Lipatov-Altarelli-Parisi)
BFKL (Balitsky-Fadin-Kuraev-Lipatov) evolution
BFKLmany gluonsall ~ same pT
DGLAP(as in PYTHIA)gluon radiationstrongly ordered
One way to realise this situation is jets widely separated in rapidity: the total energy is then much greater than the jet pT scale, and one can have many gluons of comparable pT emitted between the jets Note: BFKL provides a way to resum the contribution of these gluons; it doesn’t predict how many there are, and there is no BFKL event generator yet
6 June 2001 Iain A Bertram 29
Phys.Rev.Lett. 84, 5722 (2000)
Another attempt to find anobservable which displays BFKLbehaviour:
DØ measurement of 630/1800 GeV cross section ratio at large rapidity separations
use bins such that x and Q2 arethe same in the two datasets(but different )
What’s going on here? data behave qualitatively like BFKL (but also like HERWIG) given that we can’t predict the 630/1800 GeV ratio of inclusive cross sections, how
much can we really infer?
BFKL
6 June 2001 Iain A Bertram 30
Subjet Multiplicity in Quark & Gluon Jets
Jet ETJet ET
Motivation:
• Test of QCD ( Q & G jets are different)
• Separate Q jets from G jets (top, Higgs, W+Jets events)
Measure the subjet multiplicity in quark and gluon jets
Contributions of different initial states to the cross section for fixed Jet ET vary with
1800GeV
100 200 300
gg
qg
Method:
• Select quark enriched & gluon enriched jet sample
• Compare jets at same ( ET , h ) produced at different and assume relative q/g content is known
630GeV
100 200 300
s
s
s
6 June 2001 Iain A Bertram 31
Jet Structure at the Tevatron
Subjets inside jets: perturbative part of fragmentation DØ compares 630 to 1800 GeV data at same ET and , and infers q and g
jet differences
Quark Jets
Gluon Jets
Subjet Multiplicity
jetsjets dN
dM
N
1
04.091.11
1
q
g
M
MR
04.086.1 R
kT algorithmD=0.5, ycut= 10-3
55 < ET(jet) < 100 GeV|jet| < 0.5
DØ Data
HERWIG 5.9
DØ Preliminary
1 2 3 4 5
0.1
0.2
0.3
0.4
0.5
6 June 2001 Iain A Bertram 32
Direct Photon Production
DØ PRL 84 2786 (2000) CDF Preliminary
QCD prediction is NLO Owens et al.Note: ET range probed with photons is lower than with jets
6 June 2001 Iain A Bertram 33
Direct Photon Production
DØ PRL 84 2786 (2000) CDF Preliminary
Low ET excess: Theory QCD NLO Owens et al.
6 June 2001 Iain A Bertram 34
kT Smearing???
Gaussian smearing of the transverse momenta by a few GeV can model the rise of cross section at low ET (hep-ph/9808467)
Motivated by observed pT()
6 June 2001 Iain A Bertram 35
Alternative Viewpoint
Also note that Vogelsang et al. get closer to the observed shape than the Owens prediction with no extra kT (using NLO fragmentation and setting RF)
6 June 2001 Iain A Bertram 36
Photons at s = 630 GeV
CDF data, compared with UA2 data show deficit at high ET compared with the theory. Relation to jets?
6 June 2001 Iain A Bertram 37
DØ Photons at 630 GeV
First measurement at forward rapidities
2 Comparison (7 bins)
CC: 11.4 -- 12%
EC: 4.6 -- 71%
6 June 2001 Iain A Bertram 38
Ratio of Photons at 630 and 1800
Slight excess at low XT Insignificant
statistically Run II won’t help!
Good overall agreement with NLO
No significant high ET deficit. No statistics at
high ET (> 40 GeV)
2 Comparison (7 bins)
CC: 6.5 -- 49%
EC: 3.0 -- 89%
6 June 2001 Iain A Bertram 39
Photons: Comments
Situation is complicated and not easily explained. Low ET kT effects?
High ET deficits at 630 GeV
Lack of statistics in both regions
Challenge for both theory and experiment in Run II.
6 June 2001 Iain A Bertram 40
Run II : Coming March 2001s 2.0 TeV W/Z’s >1M/>50k
Luminosity 21032 ttbar >1k events
Ldt 2-30fb-1 Higgs Possible
Upgrades to both detectors: Silicon, Tracking (Drift-CDF, Fibres-DØ) Preshowers, Calorimeter Upgrade – CDF, Muon upgrades,
new trigger electronics (bunch spacing), C++ OO code development
6 June 2001 Iain A Bertram 41
Case Study: Dijet Mass Spectrum
Dramatic increase in high pT cross sectionsLarge gains in statistics
6 June 2001 Iain A Bertram 42
Run II:~100 events ET > 490 GeV~1K events ET > 400 GeV
Run I: 16 Events ET> 410 GeV
Great reach at high x and Q2, the place to look for
new physics!
Looking ahead: Run II
6 June 2001 Iain A Bertram 43
Jet Algorithms Fermilab Run II workshop
Various species of kT
New Cone Algorithm Theoretical desires
“infrared safety is not a joke!” avoid ad hoc parameters like Rsep
Cone algorithm improved by e.g. by modification of seed choices - midpoints seedless algorithm? In development.
Experimental desires sensitivity to noise, pileup, negative energies
6 June 2001 Iain A Bertram 44
Requirements for Progress Quantitative Theoretical Uncertainties
pdf and renormalization scale uncertainties
Full understanding of correlations of experimental uncertainties Statistical Uncertainties in most cases will be negligible
Underlying event Require a better understanding and treatment of the
surrounding event
6 June 2001 Iain A Bertram 45
Status of DØ detector
Run commenced March 2001
Two data taking periods completed of a few weeks.
Detector Commissioning taking place!
Physics data in autumn
First results in early 2002
6 June 2001 Iain A Bertram 46
Firstpp collisions of Run 2 at DØ: April 3, 2001
Luminosity counters timing
Vertex distribution along z of min bias events:
[cm]
Luminosity( coincidence)
Proton halo
~5 1027 cm-2 sec-1
Antiproton halo
6 June 2001 Iain A Bertram 47
Global track finding
36 36 Store Run 119679, Event 232931Level 3 (software trigger) Global Tracking
Track with 5 fiber tracker hits, 5 3D silicon hits
Relative alignmentof silicon and fiber trackersverified to 40 m level
6 June 2001 Iain A Bertram 48
Event with 6 tracks pointing to same vertex
36 36 Store Run 119679, Event 231653Level 3 (software trigger) Silicon-only Tracking
6 June 2001 Iain A Bertram 49
Vertex finding
Primary vertices reconstructed from tracks in silicon:
x
y
z
y
z
x
A. SchwartzmanBuenos Aires
6 June 2001 Iain A Bertram 50
Tracking in Silicon
3D event display showing hits and reconstructed track:
Offline track findingE. BarberisY. Kulik
6 June 2001 Iain A Bertram 51
Silicon Detector
North
South
H1
H4
F1
F11 F12
B1 B4 B6
6 June 2001 Iain A Bertram 52
Tracks in the Silicon + Fiber Tracker
Offline track finding frompp events:
2
1/pT
Since B=0 for this run, real tracks should be found with 1/pT = 0
8 or more points on a track (5 fiber hits, 3 or more Silicon)
D. AdamsFermilab
Data taken in 36 x 36 store (end April)Plot posted 5/18/01
6 June 2001 Iain A Bertram 53
Hits in Central Preshower Detector
Preshower hits
Fiber tracker hits
D. Coppage, Kansas
6 June 2001 Iain A Bertram 54
L1 muon triggered event
xy view, looking North zy view, looking East
xz view, looking down
6 June 2001 Iain A Bertram 55
Calorimeter and forward muon hits in a minimum bias event
Firstpp collisions of Run 2 at DØ
6 June 2001 Iain A Bertram 56
The work of many
people...
6 June 2001 Iain A Bertram 57
Closing Remarks Run II has started: 1 March 2001
BIG Opportunity for QCD
In most cases QCD predictions work exceptionally well.
Exceptions: Low pT processes are problematic
low pT jets and photons
Underlying Event and Event characteristics