Transcript ridge
Cone is medium response,
Ridge is medium itself.
Fuqiang Wang
Purdue University
For the STAR Collaboration
Plan of talk
• Away-side cone: medium
response to hard probes
• Near-side ridge: medium
response or itself?
Bridger ridge, Montana
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
2
The away-side structure
Au+Au
High pT
trigger particle
Df
PHENIX
p+p
associated
particles
trigger
jet
Awayside
-1 0
Fuqiang Wang
1
p
Df
Flow and Dissipation Workshop, Trento, Sept. 2009
3
Possible physics scenarios
pTtrig=3-4 GeV/c, pTassoc=1-2.5 GeV/c
trigger jet
trigger
jet
Away-side
-1
0
Df
p
1
away
trigger jet
Surface bias
event
1
away
Fuqiang Wang
event
2
deflected jets
Mach cone
away
Flow and Dissipation Workshop, Trento, Sept. 2009
4
3-particle azimuthal correlation
trigger jet
trigger jet
event
1
event
2
away
away
deflected jets
away
Mach cone
Df2
= f2-ftrig
p
Df2
0
0
signature
of
conical
emission
p
0
Fuqiang Wang
away
p
Df1= f1-ftrig
0
Flow and Dissipation Workshop, Trento, Sept. 2009
p
Df1
5
Evidence of conical emission
STAR, PRL 102, 052302 (2009)
d+Au
Au+Au central
trigger
Df2
p
0
0
Fuqiang Wang
p
Df1
Flow and Dissipation Workshop, Trento, Sept. 2009
Away-side
6
Conical emission angle
STAR, PRL 102, 052302 (2009)
trigger
q = 1.37
± 0.02 (stat.)
± 0.06 (syst.)
q
Away-side
Fuqiang Wang
Constant cone angle vs pT
suggests Mach Cone
shock waves may be the
underlying mechanism.
Flow and Dissipation Workshop, Trento, Sept. 2009
7
Higher trigger pT
1 < pTassoc < 2 GeV/c
4 < pTtrig < 6 GeV/c
1 < pTassoc < 2.5 GeV/c
6 < pTtrig < 10 GeV/c
1 < pTassoc < 2.5 GeV/c
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
8
Theory calculations
pQCD + hydro:
Neufeld et al.
arXiv:0807.2996
quark v = 0.99955
r
x ( x)
2
mD T
r
x gz ( x)
mD2 T
Parton energy loss:
Renk et al.
PRC 76, 014908 (2007)
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
9
AdS/CFT Correspondence
Maldacena (1997), Gubser, Klebanov,Polyakov; Witten (1998)
N = 4 Super-Yang-Mills
theory in 4d with SU(NC)
A string theory in 5d AdS
YM observables at infinite NC and infinite coupling can be
computed using classical gravity.
Chesler & Yaffe
arXiv:0712.0050
Heavy quark u = 0.75c
Measure heavy quark Mach-cone shock waves:
Experimental consequence of string theory?
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
10
Speed of sound?
p
EOS: p()
cS 2 p /
HG
cS = 0.45
QGP
cS = √1/3
= 0.58
Mixed phase
cS = 0
qM = 1.37
speed of sound
cS ~ 0.2
cS far smaller than HG or QGP.
Must have mixed phase (phase transition).
However, model calculations indicate that Mach Cone angle can be altered by medium flow.
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
11
Investigating flow effect
on cone angle
Fit to large Dh azimuthal correlations
Au+Au 20-60%, 3<pTtrig<4, 1<pTtrig<2 GeV/c
STAR Preliminary
2 Gaus: Ridge at 0 and ridge at p, same shape, diff. magnitudes
2 Gaus: identical conical emission peaks symmetric about p.
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
13
STAR Preliminary
STAR Preliminary
Fuqiang Wang
• Cone angle takes off
after trigger fs=45o.
• Split in pT after fs=45o.
• Cone angle ~constant
over pT at fs<45o.
Flow and Dissipation Workshop, Trento, Sept. 2009
14
Is there a back-to-back RIDGE?
Away-Side Ridge
Away 1
RP
Ridge
Near Jet Trig.
Away 2
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
15
Connection between near- and away-side
STAR Preliminary
Away-side
-1
0
Fuqiang Wang
1
p
Df
Flow and Dissipation Workshop, Trento, Sept. 2009
16
•
•
•
•
Separate 1st and 2nd quadrants trigger particles
Azimuthal correlation for large |Dh|>0.7
Near-side ridge Gauss repeated at “+π”
Subtract back-to-back symmetric ridge peaks
STAR Preliminary
∆φ
∆φ
∆φ
∆φ
∆φ
∆φ
∆φ
∆φ
∆φ
∆φ
∆φ
∆φ
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
17
Away-side asymmetric cone positions
STAR Preliminary
1st cone
2nd Cone peak
∆φ
RP
2nd Cone
trigger
1st cone peak
φs
•
•
Evidence of flow effect on conical emission.
Important to disentangle flow effect and conical emission angle.
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
18
The longitudinal ridge
associated
h~0
particle
d+Au
h~1
trigger particle
pT > 3 GeV/c
Dh
Df
|Df|<0.7
High-pT
trigger particle
Au+Au
assoc. particle
pT =1-2 GeV/c
Fuqiang Wang
ridge
Bridger ridge, Montana
Flow and Dissipation Workshop, Trento, Sept. 2009
19
What’s already known about ridge
• Ridge increases with centrality.
• Ridge pt spectrum is a bit harder than bulk.
• Ridge particle composition similar to bulk.
STAR, arXiv:0909.0191
• Ridge present in untriggered correlation.
M. Daugherity (STAR), QM’08, J.Phys.G35:104090,2008
Ridge extended to very large Dh
STAR, arXiv:nucl-ex/0701061
PHOBOS, arXiv:0903.2811
2.7<|Df|<3.9
> 1.0 GeV/c
pTassoc
STAR Preliminary
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
21
New insights from
RP-dependent dihadron correlations
Dh cut to “separate” jet and ridge
|∆η|>0.7 = ridge + away-side
Jet = (|∆η|<0.7) – Accept.*(|∆η|>0.7)
assuming ridge is uniform in ∆η.
Au+Au 20-60%, 3<pTtrig<4, 1.5<pTtrig<2.0 GeV/c
d+Au
Fuqiang Wang
Feng, QM’06. STAR Preliminary
Flow and Dissipation Workshop, Trento, Sept. 2009
23
Ridge decreases with RP
STAR Preliminary
Ridge drops when trigger
particle moves away from RP.
in-plane
Fuqiang Wang
trigger |fs|
Flow and Dissipation Workshop, Trento, Sept. 2009
out-of-plane
24
A model prediction motivated by data
Correlated Emission Model (CEM)
in-plane
jet flow aligned
more ridge
out-of-plane
jet flow misaligned
less ridge
Chiu,Hwa, arXiv:0809.3018
Correlated Emission Model (CEM)
Alignment of jet propagation and
medium flow produces the ridge.
If correct, would produce measureable asymmetry in near-side
ridge correlation peak.
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
25
Remove away-side from large Dh correlation
Konzer, QM’09. STAR Preliminary
Trig. pt=3-4 GeV/c, assoc pt=1-1.5 GeV/c
Au-Au 20-60% |∆η|>0.7
ZYAM
φs = 0 to -15
Ridge
-15 to -30
-30 to -45
-45 to -60
-60 to -75
-75 to -90
0.05
Jet
0
-1 0 1
π
∆f = fassoc – ftrig
• Jet remains constant
• Ridge Decreases
Fuqiang Wang
• Jet symmetric
• Ridge asymmetric
Flow and Dissipation Workshop, Trento, Sept. 2009
26
Correlation Asymmetry
STAR Preliminary
trigger pt=3-4 GeV/c
v2 syst.
Ridge
CEM model
A
N 0f 1 - N -1f 0
N 0f 1 N -1f 0
• Away-side is
Asymmetric (not shown
in plot).
• Jet is symmetric.
Ridge: assoc pt=1-1.5 GeV/c
Ridge: assoc pt=1.5-2 GeV/c
Jet: assoc pt=1.5-2 GeV/c
in-plane
Fuqiang Wang
Jet
|fs|= ftrig – ψRP
out-ofplane
• Ridge is Asymmetric!
• Ridge may be due to
jet-flow alignment.
Flow and Dissipation Workshop, Trento, Sept. 2009
27
New insights from
3-particle Dh-Dh correlation
How does long Dh
come about?
Many models on the market.
3-particle Dh-Dh
correlations
|Df|<0.7
3<pTtrig<10 GeV/c, 1<pTassoc<3 GeV/c
Netrakanti, QM’09. arXiv:0907.4744
STAR Preliminary
N. Armesto et al.,
Phys. Rev. Lett. 93 (2004) 242301
Fuqiang Wang
d+Au
Nucleus-Nucleus 2009, August 2009
Central Au+Au
29
3-particle Dh-Dh correlations
trig<10
3<pT
GeV/c
1<pTassoc<3 GeV/c
|Df|<0.7
Netrakanti, QM’09. STAR Preliminary
dAu
AuAu 12%
Charge independent
(All)
STAR Preliminary
AALike =
(AALikeTLike + AALikeTUnlike)
AAUnlike =
All - AALike
Separate jet and ridge
Jet has charge ordering
ridge does not
jet
ridge
Netrakanti, QM’09. arXiv:0907.4744.
STAR Preliminary
Same-sign triplets:
Only ridge, no jet.
R
Ridge is structureless
x
Netrakanti, QM’09. arXiv:0907.4744. STAR Preliminary
Radial Projection
Angular Projection
STAR Preliminary
(jet) = 0.25 0.09
(ridge) = 1.53 0.41
Fuqiang Wang
No prominent subtructures in ridge.
Flow and Dissipation Workshop, Trento, Sept. 2009
32
Ridge-jet cross pairs
Netrakanti, QM’09. arXiv:0907.4744. STAR Preliminary
From 3-particle Dh -Dh correlation:
From 2-particle Dh correlation:
N pairs 1.42-0.19
0.31
N ridge pairs 1.26-0.13
0.27
N assoc 1.1
N ridge 0.8
N jet pairs and jet-ridge pairs 0.16-0.06
0.04
N jet-like 0.3
Let x fraction of events containing ridge
y fraction of events containing jet
z fraction of events containing both ridge and jet
Assuming Poisson statistics:
x (0.8 / x) 2 1.26
x 0.50
y (0.3 / y ) 2 2 (0.8 / x) (0.3 / y ) z 0.16
z 0.17 y - 0.09
y 0.53, z 0.08
Fuqiang Wang
With systematic errors:
x 0.50-0.05
0.11
y 0.53-0.15
0.20
z 0.08-0.05
0.04
Ridge and jet appear to be anti-correlated.
33
Experimental facts
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
Ridge increases with centrality.
Ridge spectrum a bit harder than bulk.
Ridge particle composition similar to bulk.
Ridge present in untriggered correlation.
Ridge is mainly in-plane.
Ridge is asymmetric in Df.
Ridge is very wide.
Ridge is random.
No jet-ridge cross-talk.
Ridge may be back-to-back.
Ridge seems unrelated to jet.
Now let’s go to models…
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
34
In-medium rad. + long. Flow push
N. Armesto et al., Phys. Rev. Lett. 93 (2004) 242301
•
Ridge increases with centrality.
•
Ridge spectrum a bit harder than bulk.
•
Ridge is mainly in-plane.
•
Ridge is asymmetric in Df.
•
Ridge is very wide.
•
No jet-ridge cross-talk.
•
Ridge may be back-to-back.
x• Ridge particle composition similar to bulk.
x• Ridge present in untriggered correlation.
x• Ridge is random.
Fuqiang Wang
x• Ridge seems unrelated to jet.
35
Turbulent color field
A. Majumder et al., Phys. Rev. Lett. 99 (2004) 042301
•
Ridge increases with centrality.
•
Ridge spectrum a bit harder than bulk.
•
Ridge particle composition similar to bulk.
•
Ridge present in untriggered correlation.
•
Ridge is mainly in-plane.
•
Ridge is asymmetric in Df.
•
Ridge is random.
•
No jet-ridge cross-talk.
•
Ridge may be back-to-back.
x• Ridge is very wide.
Fuqiang Wang
x• Ridge seems unrelated to jet.
36
Recombination of thermal+shower partons
R.C. Hwa, C.B. Chiu, Phys. Rev. C 72 (2005) 034903
•
Ridge increases with centrality.
•
Ridge spectrum a bit harder than bulk.
•
Ridge particle composition similar to bulk.
x• Ridge present in untriggered correlation.
•
Ridge is mainly in-plane.
•
Ridge is asymmetric in Df.
•
Ridge is random.
•
No jet-ridge cross-talk.
•
Ridge may be back-to-back.
x• Ridge is very wide.
Fuqiang Wang
x• Ridge seems unrelated to jet.
37
Momentum kick model
C.Y. Wong hep-ph:0712.3282
•
Ridge increases with centrality.
•
Ridge spectrum a bit harder than bulk.
•
Ridge particle composition similar to bulk.
x• Ridge present in untriggered correlation.
x• Ridge is mainly in-plane.
x• Ridge is asymmetric in Df.
Fuqiang Wang
•
Ridge is very wide.
•
Ridge is random.
•
No jet-ridge cross-talk.
•
Ridge may be back-to-back.
x• Ridge seems unrelated to jet.
38
Transverse flow boost
S.A. Voloshin, Phys. Lett. B 632 (2006) 490; E. Shuryak, Phys. Rev. C 76 (2007) 047901
•
Ridge increases with centrality.
•
Ridge spectrum a bit harder than bulk.
•
Ridge particle composition similar to bulk.
•
Ridge present in untriggered correlation.
•
Ridge is mainly in-plane.
•
Ridge is asymmetric in Df.
•
Ridge is very wide.
•
Ridge is random.
•
Ridge may be back-to-back.
•
Ridge seems unrelated to jet.
x• No jet-ridge cross-talk.
Fuqiang Wang
39
Glasma flux tube fluctuation + radial flow
ridge
ridge
R. Venugopalan et al., arXiv:0902.4435
Fluctuation of color flux tubes
excess ridge particles
(larger in-plane due to flow?)
Fuqiang Wang
•
Ridge increases with centrality.
•
Ridge spectrum a bit harder than bulk.
•
Ridge particle composition similar to bulk.
•
Ridge present in untriggered correlation.
•
Ridge is mainly in-plane.
•
Ridge is asymmetric in Df.
•
Ridge is very wide.
•
Ridge is random.
•
Ridge may be back-to-back.
•
Ridge seems unrelated to jet.
x• No jet-ridge cross-talk.
40
Summary and open questions
• Conical emission of correlated particles.
Medium response to hard probes.
Suggests Mach cone shock waves.
– What distortion to Mach angle by medium?
– How to extract speed of sound? EOS?
• Ridge is uniform in pseudo-rapidity.
Likely medium itself at early time.
– Is it due to color flux tubes?
– What additional work to falsify this and other
models, or learn something from them?
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
41
Backups
v2 systematic uncertainties
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
43
ˆ3 (t ,1,2 ) 3 (t ,1,2 ) - 2 (1,2 ) 1 (t ) - 2 (t ,1 ) 1 (2 ) - 2 (t ,2 ) 1 (1 ) 21 (t ) 1 (1 )1 (2 )
Jet-like 3-p correlation
Fuqiang Wang
RP-frame cumulant
Lab-frame cumulant
On-diag projection
On-diag projection
Off-diag projection
Off-diag projection
Flow and Dissipation Workshop, Trento, Sept. 2009
44
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
45
Large combinatorics
pTtrig=3-4 GeV/c, pTassoc=1-2 GeV/c
trigger particle
pT > 3 GeV/c
Df
N jet particles ~ 1,
N bkgd particles ~ 20
Combinatorial pair bkgd is huge!
assoc. particle
pT =1-2 GeV/c
Extremely difficult analysis.
Careful subtraction of bkgd.
Extensive assessment of systematics.
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
46
What’s left on the away-side?
0.2
4
second peak
0.6
3
Peak position
0.5
2
first peak
φs
Peak area
0.1
0
φs
0.4
p/2
Peak
φs
Differential pathlength sensitivity
Peak distance
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
47
STAR Preliminary
• Jet constant with fs.
• Ridge decreases with fs.
• Cone increases with fs.
STAR Preliminary
• Jet decreases with pT.
• Ridge constant with pT.
• Cone decreases with pT.
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
48
2-particle correlation
AuAu ZDC central (0-12%) triggered data,
3<pTTrig<10 GeV/c, 1<pTAsso<3 GeV/c
Black : Raw signal
Pink : Mixed-event background
Blue : Scaled bkgd by ZYA1
STAR Preliminary
|Df|<0.
7
|Df|<0.
7
Red : Raw signal – bkgd
Dh acceptance corrected
Ridge
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
49
3-particle correlation background
-
correlated
-
Raw Raw Raw signal
Raw Bkg Hard-Soft
Bkg1 Bkg1
Soft-Soft
Bkg1 Bkg2
Fuqiang Wang
Flow and Dissipation Workshop, Trento, Sept. 2009
50
Jet and Ridge contributions
Netrakanti, QM’09. STAR Preliminary
AAlikeTlike :
No Jet
Only Ridge
Ridge (T- A+) A+)
Ridge (T+ A- ) A-)
Ridge (T+ A-) A+)
Ridge (T- A+ ) A-)
Fuqiang Wang
= Ridge (T+ A+)
= Ridge (T- A- )
= Ridge (T+ A+)
= Ridge (T- A- )
Flow and Dissipation Workshop, Trento, Sept. 2009
A+)
A-)
A+)
A-)
51