Correlations for Jet Probes of Quark-Gluon Plasma leading particle hadrons q q hadrons leading particle Olga Evdokimov University of Illinois at Chicago.

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Transcript Correlations for Jet Probes of Quark-Gluon Plasma leading particle hadrons q q hadrons leading particle Olga Evdokimov University of Illinois at Chicago.

Correlations for Jet Probes of
Quark-Gluon Plasma
leading
particle
hadrons
q
q
hadrons
leading particle
Olga Evdokimov
University of Illinois at Chicago
(some) RHIC Discoveries
Strongly interacting medium with
partonic degrees of freedom

• Strong collective flow
• Constituent number scaling

Jet quenching
• “Missing” high-pT hadrons
• Novel “landscape” in hadron correlations
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

R
Elliptic Flow
Fourier expansion for angular distributions:

d 3N
1 d 2N 

E 3 
1   2vn cosn 

…d p 2 pT dpT dy  n1

v2 - elliptic flow
Initial state spatial anisotropy
 Pressure gradient anisotropy
 Final state momentum anisotropy
Elliptic flow is developed at early stage
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Time
3
Perfect Fluid
Hydro
model
v2(pt) and mass dependence - best described
by ideal hydrodynamics!
Ideal hydro  “Perfect” liquid:
equilibrium, zero mean free path, low viscosity
Note: strange, multi-strange, charm
hadrons -- flow!
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Partonic Degrees of Freedom
Pressure gradients converting work into kinetic energy
KET  m( T  1)  mT  m
Baryons
Mesons
v2 appears to scale with the number of
constituent quarks.

Quark coalescence
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Hard Probes for QGP
Ideal - use calibrated external probes to
study medium properties
X-ray Strongly-interacting perfect fluid
source with partonic degrees of freedom
Courtesy of J. Klay
For HI collisions  use self-generated (in)medium probes
 Hard probes (jets)!
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Hard Probes
“Hard” == large scale  suitable for perturbative QCD
calculations
Hard parton
scattering
leading
particle
hadrons
high momentum transfer Q2
high transverse momentum pT
high mass m
q
q
hadrons
leading particle
perturbative
Hard probes = PDF  pQCD  FF
non-perturbative
non-perturbative
Assumptions:
Factorization assumed between the perturbative and non-perturbative parts
Universal fragmentation and parton distribution functions
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hadrons
The reference
leading
particle
q
q
hadrons
p+p→0+X
leading
particle
Simon, private
communication
S.S. Adler et al, PRL 91 241803
F. Simon
p+p→0+X
KKP: B. Kniehl, G. Kramer, P¨otter, Nucl. Phys. B597, 337 (2001)
AKK: S. Albino, B Kniehl, G. Kramer, arXiv: 0803.2768v2
DSS: D. de Florian, W. Vogelsang, F. Wagner, arXiv: 0708.3060v3
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Medium properties via jets
leading
particle
Jet Tomography: calibrated (?) probes
hadrons
What happens if partons traverse a high
energy density colored medium?
q
q




Energy loss mechanisms hadrons
leading particle
Path length effects  non-trivial:
Flavor/color-charge dependence of parton-medium coupling
In-medium fragmentation/ hadronization
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Hard probes!
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Define “hard”
In pp: inclusive cross-section is dominated by jet production above ~4 GeV/c
CDF PRD 65, 072005, 2002.
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What about RHIC/LHC matter? Probably, > 6GeV/c
(but soft part cannot be dropped)
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QGP101-Jets are quenched
PHENIX
 (2011)
@ 200
GeV
ALICE
PLB 696
30-39
0
Nuclear Modification Factors
R AA

Jet quenching evident in strong
suppression of high pT hadrons

Multiple models provide a
successful descriptions of the
suppression levels

Most include radiative and
collisional energy loss
coll
rad 
rad+coll
Fits: G.
Qin et al, PRL100:072301, 2008
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YieldAA/N binary  AA

Yieldpp
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Jets are quenched! How?
More differential measurements:
Angular di- and multi-hadron correlations
hadrons
 Reconstructed jets
q
 Jet-jet, jet-hadron correlations

leading
particle
q
hadrons
Outline:



leading particle
Early di-hadron correlation results
Landscape details: “peaks”, “humps” and “ridges”
Multi-particle correlations
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HI collisions: the environment
Jet
Au+Au?
Jetevent
eventinin
ee
Data:
High multiplicities
→ background levels
→ new techniques for jet studies
Physics:
Strongly-interacting partonic
medium
→ modified jets
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Jets via angular correlations
Jet produces high pT particles 
Select a high pT particle to locate jet,
look for correlated hadrons.
leading particle
“trigger”
Measure reference, look for changes:

f0
f
Same-side
Away-side
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

Correlation strength
Correlated shapes
Associated spectral distributions
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But…
A fly in the ointment – “backgrounds”:
many processes would lead to some sort of angular correlations
An example: decomposing autocorrelations from p+p:
Correlation measure:
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Signal decomposition
Triggered di-hadron correlations:
Azimuthal pair distribution per trigger:
Two-component model: all hadrons come from
jet fragmentation + “soft” processes
C ( )  C pp  B(1  2 vT2 v 2A cos( 2 ))
common partonic
hard-scattering
pairs from all other sources
In two-component approach one needs to know only B, and v2(pT) and
assume vT v A  vT v A
2
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2
2
2
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First results

Signature two-particle
correlation result:

“Disappearance” of the away-side
jet in central Au+Au collisions
(for associated hadrons pT assoc>2)

Effect vanishes in peripheral/d+Au
collisions
Significant Energy Loss in the
Medium
PRL 91 (2003)
072304
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Are there jets?
STAR PRL 97 (2006) 162301
d+Au
Au+Au 20-40%
Au+Au 0-5%
1/Ntrig dN/d(f)
8 < pTtrig < 15 GeV/c, pTassoc>6 GeV/c
4<pT trig<6 GeV/c

2<pT assoc<pT trig
Recovering the away side:
• Away-side yield suppression
• Little modification of the Near-side yields
• No broadening on Near- or Away-sides
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High-pT – vacuum fragmentation?
STAR PRL 97 (2006) 162301
Near
>
D
h1h2
z
T
trig
T
,p
 p
trig
T
h1h2
d  AA
dpTtrig dpT
h1
d  AA
dpTtrig
pTassoc
zT  trig
pT

Near-side:


Away side:


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No dependence on zT in the
measured range – no modification
Suppression ~ level of RAA
No dependence on zT in the
measured range – no modification
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Di-jets through correlations
assoc.
trig2
trig1
Use back-to-back (correlated) trigger
pairs
to pick both sides of a di-jet
“2+1” correlations:
Trig1 - highest pT in event, 5-10 GeV/c
Trig2 - back-to-back with Trig1 pT > 4 GeV/c
Associated particles pT > 1.5 GeV/c
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Di-jet correlations
5 < pTTrig1< 10 GeV/c
4 < pTTrig2 < pTTrig1
1.5 < pTAssoc < 10GeV/c
STAR
K. Kauder QM’09
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Surface effects in di-jets
200 GeV Au+Au and d+Au
same-side
STAR PRC (2011)
away-side
associated particle
pT spectra

No evidence of medium modifications
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Di-jets observed - all tangential?
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Jet modifications: pT 
3<pT trig<4 GeV/c
1.0 GeV/c < pT assoc
1.3<pT assoc<1.8GeV/c
PHENIX
PHENIX PRL 97,
052301 (2006).
STAR
M. v Leeuwen,
Hangzhou ‘06

One high-pT, one low-pT trigger


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Reappearance of the away-side jet
Double-hump structure hints at additional physics
phenomena
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Away side: double-humps
trigger
trigger
Event 1
Event 2
pTtrig=3-4 GeV/c,
pTassoc=1-2.5 GeV/c
trigger
-1
0
1

f
Double-humps
or shoulders
Jet deflection
Mach-cone
Shock wave
Are these features “real”, e.g. jet-related?
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trigger
trigger
Event 1
Event 2
f2= f2ftrig
3-particle correlation in f

Jet deflection
0
trigger
 f1= f1ftrig
f2
0

Mach-cone
Shock wave
0
0
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
f1
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3-particle f-f correlations
STAR
PRL 102 52302 (2009)
d+Au
Au+Au
central
Experimental observations consistent with
 jet
deflection
 conical emission (Constrains the speed of sound:
qM = 1.37 ± 0.02 ± 0.06 cS ~ 0.2)
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Closing the chapter?
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Same-side excess yield
PHENIX
PRC 78, 014901 (2008)
Increasing trigger pT

Excess yield on the same-side

Away-side “shoulders”
magnitude 
• Is it related to energy loss?
• Correlated with same-side
excess?
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 Zooming in on the same side27
RHIC Signature Result: the Ridge
d+Au
Au+Au

Near-side correlation structure:



Central Au+Au: cone-like + ridge-like
Ridge correlated with jet direction
Approximately independent of hand trigger pT
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Ridge in AA collisions at LHC
Pb+Pb @ 2.76 TeV
ptT 4-6, paT 2-4, 0-5%

Long-range near-side correlation:
 Cone-like
+ ridge-like
Ridge correlated with jet direction
 Approximately independent of h
 and trigger pT

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Ridge in pair correlations
M Daugherity,
QM08
Au+Au 200 GeV
Low pT ridge evolution
83-94%
55-65%
46-55%
0-5%
Long-range near-side correlation in inclusive events
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Transverse momentum scan
Zoom in on jets: follow pT evolution
pT>0.3 GeV/c
pT>1.1 GeV/c
pT>0.5 GeV/c
STAR Preliminary
pT>1.5 GeV/c
Unlike-charge-sign pairs from 10% most central 200 GeV Cu+Cu data
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Low pT elongation evolves into high pT ridge
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90º
Path-length effects
in-plane fS=0
0º
out-of-plane fS=90o
3<pTtrig<4GeV/c

STAR Preliminary

Same-side yield
 Jet: d+Au ~ Au+Au
Ridge decreases from in-plane
to out-of-plane
Flow effects?
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3-particle correlation in h
T : Trigger particle
A1: First Associated particle
A2: Second Associated particle
Jet fragmentation
in vacuum
hA2
h1=hA1-hT
h2=hA2-hT
In medium radiation
+ Longitudinal flow
hA1
N.Armesto et.al Phys.Rev.Lett.
93(2004) 242301
Transverse flow boost
S.A.Voloshin, Phys.Lett.B. 632(2006)490
E.Shuryak, hep-ph:0706.3531
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Turbulent color field.
A.Majumder et.al
Phys. Rev. Lett.99(2004)042301
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3-particle h-h correlation
d+Au
40-80% Au+Au
R
STAR
acceptance
0-12% Au+Au
x
|h|<1
PRL105 (2010) 22301
No significant structures along the diagonals or axes
 The ridge is uniform in every event
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
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Medium response = Energy loss?
“Lumpy” initial conditions in individual
events, breaks the symmetry
NEXSPHERIO
Hydrodynamics
1000 event average
single event
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Takahashi, et.al.
PRL 103,242301
2009
No parton-medium coupling required
Could explain both double-humps (and ridge)
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Jet-medium interactions or
medium flow/fluctuations?
How well measured v2 describes the bulk?
 What about high order Fourier harmonics?

v3
v2
Full correlation structure described by
Fourier Coefficients v1,v2, v3,v4,v5 *
Central events:
v2and v3, are comparable, sizable v4
 Can describe anything with enough terms
 vn factorization (?)
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Summary:

Hard probes are essential for understanding of QGP properties

Angular correlations are powerful experimental tools for such
studies
Low pT
High pT
Disappearance of away-side peak in
central Au+Au, but not in d+Au
‣ jet quenching discovery
‣ establishing “final” state effect
Away-side double-hump structure ‣ mach cone ?
‣ deflected jets ?
‣ medium response/medium?
Re-emerging of di-jet signal at higher pT
‣ punch through ?
‣ tangential jets ?
Near-side ridge ‣ manifestation of energy loss?
‣ medium response/medium ?
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How to control biases?
How to decompose observed structures?
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Back Up
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Why QGP?
To test and
understand
QCD:
Strong interaction,
Confinement,
Mass,
Chiral symmetry.
Few microseconds after the Big Bang the entire Universe was in a QGP state.
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What is QGP?
Lattice QCD prediction
F. Karsch, hep-lat/0401031 (2004)
Nuclear Matter
TC~170  8 MeV~1012 K
QGP
eC~0.5 GeV/fm3~1012 kg/cm3
QGP  a thermally equilibrated deconfined quarks and gluons, where
color degrees of freedom become manifest over nuclear, rather than
nucleonic, volumes.
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Making a Big Bang
How to create Quark Gluon Plasma?
T
~170
MeV
Quark-Gluon
Plasma
5-10
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r/r0
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Making a Big Bang
to create Quark Gluon Plasma (QGP) –
a deconfined state of quarks and gluons
T
~170
MeV
Quark-Gluon
Plasma
Heavy Ion Collisions
5-10
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r/r0
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Collision Centrality
Number of Participants
Impact Parameter
Npart = # of participant nucleons
Nbin= # of binary collisions
centrality
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(Estimated by Glauber Model)
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Away-side scan
PHENIX
PRC 78, 014901 (2008)
Associated pT
dependence:
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
Recovering the away side

Development of “doublehumps” or “shoulders”
44
What is same-side ridge?
p+p 7 TeV

Jet modified medium?


Ridge in high multiplicity p+p at LHC!
Ridge pT-spectra and particle ratios are ‘bulk-like’
Ridge diminishes(?) with pTtrig
How is it related to jets?
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Low pT ridge
M Daugherity,
QM08
Low pT ridge evolution
83-94%
peak amplitude
STAR Preliminary
200 GeV
62 GeV
55-65%
46-55%
peak η width
STAR Preliminary


Transverse particle density
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0-5%
Low pT “ridge” – part of “minijet”
peak evolution
Sharp transition in both amplitude
and width at ρ ~ 2.5
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Surface effects in di-jets
200 GeV Au+Au and d+Au
same-side
STAR PRC (2011)
away-side
associated particle
pT spectra

No evidence of medium modifications
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Di-jets observed - all tangential?
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Misbalanced triggers
8 < ETTrig1< 15 GeV/c
4 < pTTrig2 < 10 GeV/c
1.5 < pTAssoc < 10GeV/c
STAR
H. Pei DNP’09
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PID for Trigger hadrons
Inclusive, raw
n < C,
pion-depleted sample
a.
u.
n > C, 95%
pure pion sample
π
K
P
Au+Au
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0-10% central, Trigger is
highest pT track
4 < pT,trigger < 6 GeV/c
pt,assoc. > 1.5 GeV/c
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PID-dependent correlations
± trigger

Large jet-like cone, small
ridge from pion triggers
(P±+K±) trigger

Smaller cone, large ridge
from P+K triggers
Au+Au
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4 < pT,trigger < 6 GeV/c
pt,assoc. > 1.5 GeV/c
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Projections – Au+Au
|h|<1.0
Trigger:
±
(P±+K±)
Charged h

Consistent with previous results – but
that is a function of projection range!

Does not reveal entire structure
Au+Au
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4 < pT,trigger < 6 GeV/c
pt,assoc. > 1.5 GeV/c

|f|<0.73
hreveals rich trigger PID dependent
structure:

Higher jet-like amplitude for pions

Ridge predominantly contributed by nonpion-triggered events
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4 < pT,trigger < 6 GeV/c
pt,assoc. > 1.5 GeV/c
Raw PID Correlations


Large h: Ridge difference evident in raw correlations.
Not reconcilable with symmetric backgrounds.

Before background
subtraction
Full h range: Difference in awayside structures.
Au+Au
0.7<|h|<1.5
d+Au MB
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Trigger:
±
(P±+K±)
Charged h
Au+Au
0 <|h|<1.5
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