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Jet Reconstruction in Heavy Ion Collisions. Alán Dávila for the STAR Collaboration WWND February, 8, 2011. Outline. Heavy ion collisions’ prior probes Jet finding algorithms used at STAR STAR preliminary jet measurements in central Au+Au collisions Recent background fluctuations studies - PowerPoint PPT Presentation
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Alán Dávila for the STAR Collaboration
WWND February, 8, 2011
OutlineOutline
• Heavy ion collisions’ prior probes• Jet finding algorithms used at STAR• STAR preliminary jet measurements in central
Au+Au collisions• Recent background fluctuations studies • Conclusions
A. Dávila, U of Texas
CorrelationsCorrelationsPer final state charged hadron 2D particle correlations
The width increases with centrality
Same side model includes a 2D Gaussian
The decreases…
Un-triggered correlations see broadening but only in
direction.
A. Dávila, U of Texas
Glauber Linear Superposition
Peak
Am
plitu
de
Peak η Width Peak φ Width
part
bin
N
Nv 2 3
High Pt probesHigh Pt probesParton kinematics are not directly measureable
Use high PT particles as an approximation of the parton kinematics
A. Dávila, U of Texas 4
High Pt probesHigh Pt probesParton kinematics are not directly measureable
Use high PT particles as an approximation of the parton kinematics
GeVsNN 200Au+Au
pp
assocTp0.15 GeV/c < < 4GeV/c
A. Dávila, U of Texas
Recoil low PT multiplicity and PT sum enhancement
J. Adams et al. (STAR), Phys. Rev. Lett. 95, 152301 (2005) 4
High Pt probesHigh Pt probes
Recoil high PT yield suppression
Possible explanation: softening of jet fragments
Parton kinematics are not directly measureable
Use high PT particles as an approximation of the parton kinematics
GeVsNN 200
dAu
Au+Au
pp
assocTp0.15 GeV/c < < 4GeV/c
A. Dávila, U of Texas
Recoil low PT multiplicity and PT sum enhancement
J. Adams et al. (STAR), Phys. Rev. Lett. 97, 162301 (2006)
J. Adams et al. (STAR), Phys. Rev. Lett. 95, 152301 (2005) 4
Alternative probes of Heavy Ion Alternative probes of Heavy Ion collisionscollisions
A) Triggering in high PT hadrons produces a surface bias (hadrons coming from partons that interact least with the medium)
A
Hadron
Quark
Gluon
Gamma
Jet
A. Dávila, U of Texas 5
Alternative probes of Heavy Ion Alternative probes of Heavy Ion collisionscollisions
A) Triggering in high PT hadrons produces a surface bias (hadrons coming from partons that interact least with the medium)B) Gamma- jets do not suffer such bias as the photon gets the original parton kinematics but they suffer of limited statistics.
A B
Hadron
Quark
Gluon
Gamma
Jet
A. Dávila, U of Texas 5
Alternative probes of Heavy Ion Alternative probes of Heavy Ion collisionscollisions
A) Triggering in high PT hadrons produces a surface bias (hadrons coming from partons that interact least with the medium)B) Gamma- jets do not suffer such bias as the photon gets the original parton kinematics but they suffer of limited statistics.
C) A more generic way to probe the medium is to try to recover the original parton kinematics by full jet reconstruction.
A B C
Hadron
Quark
Gluon
Gamma
Jet
A. Dávila, U of Texas 5
Jet Finding AlgorithmsJet Finding Algorithms
STAR: kt , anti-kt from FASTJET packagecollinear and infrared safe
NlnN time ( secs for ~ 1000 particles)
310
A. Dávila, U of Texas
kt and anti-kt: sequential recombination algorithmsGive a jet area measure (important for Au+Au background estimations)
JHEP 0804 (2008) 063 6
Jet reconstruction at STARJet reconstruction at STAR
Charged particles from the TPC (protons, pions, kaons, e, …)Neutral particles from EMCAL ( , gamma)No , neutrons, detected (<10% effect)
Triggers used
cGeVET 6.7
cGeVET 4.5
,11
,05.005.0
Jet Patch (P+P)
High Tower
We apply a PT cut of 0.2 GeV/cIn track and towers
Towers’ matched tracks are subtracted to avoid double counting
p
0LK
p
K: (-1.2,1.2)
TPC
BEMC
0LK
Note: not at scale
2:
A. Dávila, U of Texas
0
7
Jets in pp collisionsJets in pp collisions
Jets produced at STAR are well described by pQCD over several orders of magnitude.
kt and anti-kt algorithms consistent with published STAR results with midpoint cone algorithm.
A. Dávila, U of TexasB. I. Abelev et al. (STAR Collaboration), Phys. Rev .Lett. 97, 252001 (2006) 8
Going to Heavy IonsGoing to Heavy Ions200 GeV central Au+Au collisions: Underlying event interferes with the jet reconstruction. Per event background estimations and jet areas (FASTJET)are used to subtract the background at STAR.
Event background:
i
iT
A
Pmedian
Active area : number of clustered soft particles within a jet over density of particles
Background in HI collision is not uniform.
Tclustercluster
TmeasT pApp
A. Dávila, U of Texas
Tp
IrresolutionNon-gaussian
9
Going to Heavy IonsGoing to Heavy Ions200 GeV central Au+Au collisions: Underlying event interferes with the jet reconstruction. Per event background estimations and jet areas (FASTJET)are used to subtract the background at STAR.
Event background:
i
iT
A
Pmedian
Active area : number of clustered soft particles within a jet over density of particles
Background in HI collision is not uniform.
Tclustercluster
TmeasT pApp
A. Dávila, U of Texas
cGeVBckg
R
/45
4.0
Tp
First look: Background fluctuations assuming Gaussian distribution (Incorrect assumption)
IrresolutionNon-gaussian
9
Jet Spectrum in AuAu collisions at RHICJet Spectrum in AuAu collisions at RHIC
Tclustercluster
TmeasT pApp
)( TjetT
MeasT
pfdp
dN
dp
dN
background corrected jet PT:
The measured yield is convoluted with the irresolution function f:
To obtain the real distribution requires deconvolution (unfolding).
Event region to region fluctuations
A. Dávila, U of Texas
unfolding
Pythia
Pythia smeared
Pythia unfolded
simulation
10
Jet Spectrum in AuAu collisions at RHICJet Spectrum in AuAu collisions at RHICFull reconstructed jets yield at central AuAu collisions at STAR
kt and anti-kt give similar results. Smaller resolution -> smaller yield
A. Dávila, U of Texas
Increased kinematics wrt single/di-hadron measurements!
False jet yield estimated with Au+Au events randomized in azimuth (no jet-leading particles present)
Background fluctuations approximated by Gaussian
New progress on these points in succeeding slides
11
RRAAAA
A. Dávila, U of Texas
•RAA value is consistent with one for R = 0.4, but smaller for R = 0.2.• The jet spectrum is not completely recovered.
For Nbin scaling, RAA = 1.
Note: RAA -> 0.2 in the limit R -> 0.0 (single hadrons)
12
R(0.2)/R(0.4)R(0.2)/R(0.4)
Ratio of R = 0.4/R = 0.2 shows an increased suppression in AuAu compared to pp. This is suggestive of a broadening of jets in AuAu collisions.
Increasing jet PT increases the ratio. Jets get more collimated in pp
p+p √s=200 GeV
A. Dávila, U of Texas
G. Soyez, Private Communication
13
Jet-hadron correlationsJet-hadron correlations
A. Dávila, U of Texas
HT trigger jet axis•Anti-kt•R = 0.4•PT Jet trigger> 20 GeV/c•PT cut > 2 GeV/c
AuAu Jet-hadron correlations show broadening on the away side.
For more on Jet-hadron correlations see A. Ohlson’s talk next
14
New progress on background New progress on background FluctuationsFluctuations
Toy modelThermal distribution (no signal)Random in ,The statistical distributions describe fluctuations as expected
Tp Clustered in a cone of R = 0.2A. Dávila, U of Texas
15
New progress on background New progress on background FluctuationsFluctuations
Generalized probe embeddingEmbed a known probe in a AuAu central eventReconstruct the jet that contains the probe in itCalculate irresolution:
fitted with a gamma function
High Pt tails
embedT
recorecoTT pApp
Tp
Toy modelThermal distribution (no signal)Random in ,The statistical distributions describe fluctuations as expected
Tp Clustered in a cone of R = 0.2A. Dávila, U of Texas
15
Background FluctuationsBackground Fluctuations
does vary with jet area. Tp is independent of fragmentation pattern
Tp
•Better understanding of background fluctuations• Irresolution independent on fragmentation pattern
A. Dávila, U of Texas 16
A. Dávila, U of Texas
Tjet
T
Tjet
p
P
Tjetbinjets dp
dN
dr
dp
pdp
Ndr
d Tjet
Tjet
11max
min
Differential jet shape: Average rate of change of PT at distance r from the jet axis
ψdr
Ψd
Jet Shapes backgroundJet Shapes background
r
Jet Axis
R
)(
)(
RrP
rrPΨ
T
T
Integrated Jet Shape
Differential Jet Shape Single jet…
Average over many jets …
17
A. Dávila, U of Texas
Tjet
T
Tjet
p
P
Tjetbinjets dp
dN
dr
dp
pdp
Ndr
d Tjet
Tjet
11max
min
Particles from the HI collision will contribute to PT(r), they will also move the jet axis: This effectively changes PT(r) too
Blue jet particlesRed HI backgroundNot distinguishable in a jet by jet basis
Differential jet shape: Average rate of change of PT at distance r from the jet axis
ψdr
Ψd
Jet Shapes backgroundJet Shapes background
r
Jet Axis
R
)(
)(
RrP
rrPΨ
T
T
Integrated Jet Shape
Differential Jet Shape Single jet…
Average over many jets …
17
A. Dávila, U of Texas
Tjet
T
Tjet
p
P
Tjetbinjets dp
dN
dr
dp
pdp
Ndr
d Tjet
Tjet
11max
min
Ap
rdrdp
dr
dp
P Tjet
TT
Tjet
2/1 clustersignal
signal
Particles from the HI collision will contribute to PT(r), they will also move the jet axis: This effectively changes PT(r) too
Blue jet particlesRed HI backgroundNot distinguishable in a jet by jet basis
Differential jet shape: Average rate of change of PT at distance r from the jet axis
Background subtraction
ψdr
Ψd
Jet Shapes backgroundJet Shapes background
r
Jet Axis
R
)(
)(
RrP
rrPΨ
T
T
Integrated Jet Shape
Differential Jet Shape Single jet…
Average over many jets …
Ring PT
Jet PT
17
A. Dávila, U of Texas
Charged Particles Only !Use generalized probe embedding to characterize the fluctuations
signalBackgroundsignal
Embed Single 30 GeV/c pion in AuAu eventthis represents our truth signal
Run JFA and extract jet with embedded pionthis is our measurement
Subtract backgroundJet area in denominatorRing area in numerator
Get the fluctuations in jet shape measurement
Jet Shapes backgroundJet Shapes background05.022 RAR jet
Ap
rdrdpclusterT
clusterT
2/
0signal
18
A. Dávila, U of Texas
Charged Particles Only !Use generalized probe embedding to characterize the fluctuations Single 30 GeV/c pions embedded
Relative distance from jet axis
Jet Shapes backgroundJet Shapes background
Fluctuations increase with increased ring area
area 0.08 0.15 0.23 0.30 0.38
05.022 RAR jet = 0.1r
19
A. Dávila, U of Texas
Charged Particles Only !Use generalized probe embedding to characterize the fluctuations
Single 30 GeV/c pions embedded
Relative distance from jet axis
Jet Shapes backgroundJet Shapes background
Fluctuations increase with increased ring area
area 0.08 0.15 0.23 0.30 0.38
05.022 RAR jet
r/R = 0.349 projection
Truth signal
STAR Preliminary
= 0.1r
19
A. Dávila, U of Texas
Jet Shapes backgroundJet Shapes backgroundFluctuations of the jet shape measurement close to the axis (small area) and close to the edge (bigger area)
There is a clear dependence of the shape of the fluctuations on r. This is consistent with previous studies of fluctuations dependencies on jet area
STAR PreliminarySTAR Preliminary
20
ConclusionsConclusions Preliminary jet measurements at STAR indicate jet profile broadening in
10% most central Au+Au collisions. The event region to region background fluctuations in central Au+Au
events calculated by the generalized probe embedding are mostly independent of jet fragmentation pattern (single particle, quenched, unquenched).
On the verge of applying all this knowledge in intra jet measurements (jet shapes, JT, intra jet momentum flow)
Jets are a calibrated probe that can be used to expand current studies of the medium created in heavy ion collisions at RHIC
GeVsNN 200
A. Dávila, U of Texas
BackupBackupSTAR: kt , anti-kt from FASTJET package
collinear and infrared safe
NlnN time ( secs for ~ 1000 particles)
In an event define and compute distances between particles and the beam
ijdiBd
tiiB
jijiij
ijp
tjp
tiij
pd
yyR
RRppd
222
222 /),min(
Find minimum of the distances, if it is set as jet, otherwise merge i,j.Repeat
iBd
kt -> p = 1anti-kt -> p = -1
At STARE-Scheme
y
310
A. Dávila, U of Texas
Di jet yields comparisonDi jet yields comparison
Di –jet: trigger jet + recoil jet
R = 0.2/R = 0.4 ratio shows higher suppression than in the pp system.
Deposition of Energy fires High Tower trigger
Recoil Jet
Trigger Jet Pt> 20 GeV/c
A. Dávila, U of Texas
Di-jet rates Au+Au/ p+p
Measurements agree with the jet broadening scenario
PT cut of 0.2, 2.0 GeV/c on tracks/towers for the recoil jets
PT cut of 2.0 GeV/c for the trigger jetsBkg estimated from spectrum at azimuth wrt dijet axis
2