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Mach Ridge Cone B/M Peak Thingies
Tom TrainorBNL, May, 2008
Tom TrainorBNL, May, 2008
Minijets and their Interactions
Trainor 2
Agenda• Minijets in p-p spectra and correlations
• Minijets in A-A spectra and correlations
• Parton energy loss and QCD at small Q
• Minijets in pt fluctuations and correlations
restoring QCD to small-pt hadron physics
At what energy scale doesparton scattering and fragmentation stop?
Are A-A collisions thermalized?
Does hydro dominate?
pQCD
6 GeV/c
thermo/hydro or non-pQCD?
pt
spectrum structure
Trainor 3
yt
1/n s 1
/yt d
N/d
y t − S
0(y t)
H(nch,yt)nhns
yt
H(n
ch,y
t)
S0(yt)
H(nch,yt)
H0(yt)
nch 12345
0
0.005
0.01
0.015
0.02
0.025
0.03
0.035
2 2.5 3 3.5
10-3
10-2
10-1
1
1 2 3 4
Two-component p-p Spectra
pt (GeV/c)
1/n ch
1/p
t dN
/dp t
nch = 1
nch = 11.5
yt
1/n ch
1/y
t dN
/dy t
10-7
10-5
10-3
10-1
1010 310 510 710 9
101110131015
0 2 4 610
-610
-410
-21
10 210 410 610 8
101010121014
1 2 3 4
pt (GeV/c)
1/n s 1
/pt d
n/dp
t [(G
eV/c
)-2]
S0
total
n̂ch=11.5
1
H0/9
H0/140
yt
1/n s 1
/yt d
n/dy
t
S0
total
hard events
H0/9
H0
10-6
10-5
10-4
10-3
10-2
10-1
1
10
0 2 4 60
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
1 2 3 4
accurate separation of p-p longitudinal and transverse fragmentationPhys Rev D 74, 032006 (2006)
hard
soft
hard
{ }0ln ( ) /t t ty m p m≡ +
soft
hard
2003-2004
yt
1/n ch
1/y
t dn/
dyt
A B C
A
B
10-5
10-4
10-3
10-2
10-1
1 2 3 4
1.5 2
0.2
0.3
0.4
S0subtractS0
replot H0
STAR 200 GeV p-p
chn =
Trainor 4
pt (GeV/c)
1/n s 1
/pt d
N/d
p t
yt1/
n s 1/y
t dN
/dy t
10-7
10-5
10-3
10-1
1010 310 510 710 9
101110131015
0 2 4 610
-610
-410
-21
10 210 410 610 8
101010121014
1 2 3 4yt
1/n s 1
/yt d
N/d
y t − S
0(y t)
yt
H(n
ch,y
t)
S0(yt)
H(nch,yt)
H0(yt)
0
0.005
0.01
0.015
0.02
0.025
0.03
0.035
2 2.5 3 3.5
10-3
10-2
10-1
1
1 2 3 4
yt
∆ρ /
√ρre
f
y t
1
2
3
4
51
23
45
00.010.020.030.040.050.060.07
away
1
1.5
2
2.5
3
3.5
4
4.5
1 2 3 4
CI
1
1.5
2
2.5
3
3.5
4
4.5
1 2 3 4
Low-Q2 Partons in p-p Collisions
subtract soft reference
minijetfragments
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
√∆ρ∆ρ∆ρ∆ρ
-2-1.5
-1-0.5
00.5
11.5
2
-10
12
34
0
0.005
0.01
0.015
ρρ∆
∆φ ∆η
same side
1D 2Dp-p200 GeV
nch=1
nch=10
pt → yt
0.15 61pt (GeV/c)
nucleon fragments
φ∆
∆ρ /
√ρre
f
η ∆
2
02
4
-2
-1
0
1
2
-0.010
0.010.020.030.040.050.06
away side hadron pt ~ 0.6 GeV/c
yt1
yt2 yt2
∆ρ/∆ρ/∆ρ/∆ρ/√ρρρρref
nch
parton fragments
{ }0ln ( ) /t t ty m p m≡ +
minimum-bias: no trigger conditionJ Phys Conf Ser 27, 98 (2005); hep-ph/0506172
Trainor 5
p-p Correlations on (yt1,yt2)
yt
∆ρ /
√ρre
f
y t
1
2
3
4
51
23
45
00.010.020.030.040.050.060.070.08
yt
∆ρ /
√ρre
f
y t
1
2
3
4
51
23
45
00.010.020.030.040.050.060.07
yt
∆ρ /
√ρre
f
y t
1
2
3
4
51
23
45
00.010.020.030.040.050.060.07
yt
∆ρ /
√ρre
f
y t
1
2
3
4
51
23
45
00.010.020.030.040.050.060.070.08
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
φ∆
η ∆
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
0 2 4
ASSS
SS–same side
AS –away side
LS – like sign US – unlike sign
participant nucleon and parton fragmentation: first two-particle fragment distributions
0.151.0
10.0
pt (GeV/c)
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ refHBT
‘soft’away-side partonfragmentation isindependent ofcharge combination
same-side partonfragmentation isrestricted to US pairs
parton
parton parton
(except OPAL on ξ )
‘soft’
parton?
STAR preliminary
jet-jet
intra-jet
J Phys Conf Ser 27, 98 (2005); hep-ph/0506172
Trainor 6
p-p Correlations on (η∆,φ∆)
φ∆
∆ρ /
√ρre
f
η ∆
02
4
-2
-1
0
1
2
-0.2-0.1
00.10.20.30.40.50.60.70.8
φ∆
∆ρ /
√ρre
f
η ∆
02
4
-2
-1
0
1
2
-0.2-0.1
00.10.20.30.40.50.60.70.8
φ∆
∆ρ /
√ρre
f
η ∆
02
4
-2
-1
0
1
2
-0.050
0.050.1
0.150.2
0.250.3
0.350.4
φ∆
∆ρ /
√ρre
f
η ∆
02
4
-2
-1
0
1
2
-0.050
0.050.1
0.150.2
0.250.3
0.350.4
local charge and momentum conservation
yt1
y t2
1
1.5
2
2.5
3
3.5
4
4.5
1 2 3 4
HF
SF
SF –nucleon fragments (PDF)
HF –parton fragments (FDF)
LS – like sign US – unlike sign
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
away-side partonfragmentation is~ independent ofcharge combination
participant nucleon fragmentation reflects local measure conservation
HBT nucleon
parton
HBT?
parton
2D angular autocorrelations on difference axes
parton
STAR preliminary
J Phys Conf Ser 27, 98 (2005); hep-ph/0506172
Trainor 7
water dropsvrel = 6 m/s
φ∆
∆ρ /
√ρre
f
η ∆
02
4
-2
-1
0
1
2
-0.010
0.010.020.030.04
φ∆
∆ρ /
√ρre
f
η ∆
02
4
-2
-1
0
1
2
-0.0050
0.0050.01
0.0150.02
0.0250.03
0.0350.04
Low-Q2 Parton Angular Correlations
yt1
y t2
1
1.5
2
2.5
3
3.5
4
4.5
1 2 3 4
yt
∆ρ /
√ρre
f
y t
1
2
3
4
51
23
45
00.010.020.030.040.050.060.07
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
low-Q2 partons– non-pQCD
conventional high-ptleading-particle analysis: pQCD
p-p 200 GeV
STAR preliminary
small Q2
larger Q2
lo hi
non-pQCD pQCD
φ∆
η ∆
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
-1 0 1 2
φ∆
η ∆
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
-1 0 1 2
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
hi
lo
hydrodynamicsof parton collisions?
Q2
softest jets ever! big non-perturbative effects
no trigger particle
1:1 aspect
energy scale dependence
Gaussiansinusoid
Trainor 8
Minijet Deformation on (η,φ) in Au-Au
peripheral
N(r-1
)
-0.4-0.2
N(r-1
)
-0.4-0.2
N(r-1
)
-0.4-0.2
central
N(r-1
)
-0.4-0.2
νσ η,
σφ
ση
σφ
STAR preliminary
0.4
0.6
0.8
1
1.2
1.4
1 2 3 4 5
ηηηη
centrality
φφφφσσσσηηηη
σσσσφφφφ
130 GeV Au-Au
widths
minbias p-p
low Q2
fragmentation asymmetry reverses: p-p →→→→ Au-Au
130 GeV Au-Au mid-central
p-p
Au-Au
low Q2 p-p
η∆
φ∆-1.5 -1
-0.5 0
0.5 1
1.5 2-2-1
01
2
z
ηηηη φφφφ⊗⊗⊗ ⊗
Hubble expansion
p-p
HI
dramatic evolution with centrality
STAR preliminary
φ∆
η ∆
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
-1 0 1 2
2002-2003
Phys Rev C 73, 064907 (2006)
1:1
Trainor 9
0 2 4 6 8 10 12 14 16
-2) (
GeV
/c)
Tdy
dpTpπ
N)/(
22
(d
-1010
-710
-410
-110
210
510
310×0-12%210×10-20%
10×20-40%
MB (0-80%)
40-60%/10240-80%/10360-80%/10
(dE/dx)+πAuAu: (dE/dx)-πAuAu: (TOF)+πAuAu: (TOF)-πAuAu:
0 2 4 6 8 10 12
AuAu: p (dE/dx) (dE/dx)pAuAu:
AuAu: p (TOF) (TOF)pAuAu:
(GeV/c)T
Transverse Momentum p
pt Spectra – Standard Textconventional interpretation
• thermalized system
• state variables T, µµµµ• blast-wave modeling
• →→→→ radial flow ββββ
STAR: Phys. Rev. Lett. 97, 152301 (2006)
pions protonsAu-Au 200 GeV
pt (GeV/c)
2/n pa
rt 1
/2π
1/p t
d2 n / d
p t dη
protons
200 GeV Au-Au
A p-7.0
t
hydro ReCo pQCD
HNN
SNN
10-9
10-8
10-7
10-6
10-5
10-4
10-3
10-2
10-1
1
0 2 4 6 8 10
pt (GeV/c)
2/n pa
rt 1
/2π
1/p t
d2 n / d
p t dη
pions
200 GeV Au-Au
HNN
Spp
SNN
hydro ReCo pQCD
A p-7.5
t
200 GeV p-p
10-9
10-8
10-7
10-6
10-5
10-4
10-3
10-2
10-1
1
0 2 4 6 8 10
hydro? hydro?
differential plot format
direct comparison with
arXiv:0710.4504
two-component modelQCD power law
NN t NN tS (y ) +νH (y )
reference
Trainor 10
yt(π)
2/n pa
rt ρ
0p(y
tπ)
protons
200 GeV Au-Au
A e-5.0 yt
HNN
SNN
SNN
power lawminijetsnormali-zation
10-7
10-6
10-5
10-4
10-3
10-2
10-1
1.5 2 2.5 3 3.5 4 4.5 5
yt(π)
2/n pa
rt ρ
0π(y
tπ)
pions
200 GeV Au-Au
HNN
SNN
Ae-5.5 yt
power lawminijetsnormali-zation
200 GeV p-p
10-7
10-6
10-5
10-4
10-3
10-2
10-1
1.5 2 2.5 3 3.5 4 4.5 5
yt Spectrum and Hard Component
pion rapidity
no apparent hydro phenomena
{ }=t t t πy ln (m + p )/mparton fragments
parton fragments
0.5 1 2 4 6 10 pt (GeV/c)
NN t NN tS (y ) +νH (y )
QCD power
law
reference
yt(π)
ν H
AA =
2/n
part
ρA
A −
SN
N
protons
200 GeV Au-Au
A e-5.0yt
HNN
hydro ReCo pQCD10
-7
10-6
10-5
10-4
10-3
10-2
2 2.5 3 3.5 4 4.5 5
all parton fragments
fragments dominate centrality evolution
proton-to-pion anomaly?
arXiv:0710.4504
pion-to-proton anomaly?
subtract soft referencePhys. Rev. D 74, 032006 (2006) Phys. Rev. D 74, 034012 (2006)
NN tS (y )
yt(π)
ν H
AA =
2/n
part
ρA
A −
SN
N
Ae-5.5 yt
HNN
hydro ReCo pQCD
200 GeV p-p
pions
200 GeV Au-Au
10-7
10-6
10-5
10-4
10-3
10-2
2 2.5 3 3.5 4 4.5 5
p-p data
Trainor 11
yt(π)
ν H
AA =
2/n
part
ρ A
A −
SN
N
protons
200 GeV Au-Au
A e-5.0yt
HNN
hydro ReCo pQCD10
-7
10-6
10-5
10-4
10-3
10-2
2 2.5 3 3.5 4 4.5 5
yt(π)
ν H
AA =
2/n
part
ρ A
A −
SN
N
Ae-5.5 yt
HNN
hydro ReCo pQCD
200 GeV p-p
pions
200 GeV Au-Au
10-7
10-6
10-5
10-4
10-3
10-2
2 2.5 3 3.5 4 4.5 5
HAA
2( ; ) ( ; ) ( )AA t AA t NN t
part
H y y S yn
ν ν ρ ν= −data hard components
3.22.2
FD: fragment distribution
negativeboost ∆∆∆∆yt
?yt
yt
spectacular pionenhancement
yt
yt
and protons
(d)
X(p t1)
r
ˆ -
1
X(pt2 )
0.2 0.4 0.6 0.8
0.20.4
0.60.8
0
0.005
0.01
0.015
(a)
r
ˆ -
1
X(pt2 ) 0.15
2.00.5
1.0
pt (GeV/c)
0.2 0.4 0.6 0.8
0.20.4
0.60.8
-0.001
0
0.001
0.002
a long history
J. Phys. G 34 (2007) 799
the elephant in the living room
minijets
arXiv:0710.4504
QCD power
law
Trainor 12
RAA
yt
RA
A =
1/ν
2/n
part ρ
AA /
ρ pp
1 / ν
pions200 GeV Au-Au
pQCD
00.10.20.30.40.50.60.70.80.9
1
2 3 4 5
yt
RA
A =
1/ν
2/n
part ρ
AA /
ρ pp
1/ν
00.10.20.30.40.50.60.70.80.9
1
2 3 4 5
suppressed?
1 ( ) ( ; )
( ) ( )NN t AA t
pp t pp t
S y H y
S y H y
ν νν
+⋅+
protons
reference curves
jet quenching
mixes soft andhard components
2 /binary participantn nν ≡
? ?
yt
r AA =
HA
A /
HN
N
protons
200 GeV Au-Au
pQCD−∆yt dlog(H0) / dyt
∆yt = −0.26
60-80%
0-12%
0.2
0.3
0.4
0.50.60.70.80.9
1
2
3
4
5
2 2.5 3 3.5 4 4.5 5yt
r AA =
HA
A /
HN
N
pions
200 GeV Au-Au
−∆yt dlog(H0) / dyt
∆yt = −0.285
A = 0.21, ∆yt = 0
200 GeV p-p
0-12%
60-80%
pQCD
0.2
0.3
0.4
0.50.60.70.80.9
1
2
3
4
5
2 2.5 3 3.5 4 4.5 5
( ; )
( )AA t
NN t
H y
H y
ν
hard-component ratios all deviations from the reference
partonfragmentation
only
rAA
arXiv:0710.4504
reference
excess!
Trainor 13
∆yt and Parton Energy Loss
yt
r AA =
HA
A /
HN
N
200 GeV Au-Au
pions
yt
r AA =
HA
A /
HN
Nprotonsprotonsprotonsprotons
1
10
2 3 4 5
1
10
2 3 4 5
log[ ( ; )]
( ) log[ ( )] /AA t
t NN t t t
r y
y d H y y dy
νν δ
≈− ∆ −
δδδδyt
( ; ) ( [ ])AA t NN t tH y AH y yν ν≈ + ∆if ‘energy loss’ is a negative boost
then by Taylor expansion
modeling rAA
log[ ( )] /t NN t ty d H y dy−∆
dashed model curves fully describe data
anomalous
naïve model
t yty n
e∆
arXiv:0710.4504
ν
−∆E
/ E
, −∆
y t
20 GeV
Ejet = 10 GeV
0
0.05
0.1
0.15
0.2
0.25
0.3
1 2 3 4 5 6
200 GeV
Eloss negative boost ∆∆∆∆yt
theory ∆∆∆∆E/E (curves) from I. Vitev
Vitev
star preliminary
displacements may indicatecolor screeningof partons
Trainor 14
yt
S AA,
ν H
AA
π
p
p
ν = 1
ν = 6
π
pt (GeV/c)
ρ prot
on /
ρ pion
ν = 1
ν = 6
protons
antiprotons
10-8
10-7
10-6
10-5
10-4
10-3
10-2
10-1
1 2 3 4 5
10-1
1
0 5 10
The Proton vs Pion Anomaly
( ) ( ; )
( ) ( ; )proton NNp t AAp t
pion NN t AA t
S y H y
S y H yπ π
ρ ν νρ ν ν
+=
+ratio mixes soft and hard components
the Au-Au “anomaly” isonly a factor 2×
0 2 4 6 8 10 12
Rat
ios
-110
1
+π(a)p/ 0-12% Au+Au60-80% Au+Aud+Au
0 2 4 6 8 10 12
-π/p(b) )-π++π)/(p:(p+-e+eHwa:RecombinationFries:Coalescence+Jet
)-π++π)/(p:(p+-e+eHwa:RecombinationFries:Coalescence+Jet
(GeV/c)T
Transverse Momentum p
good agreement
Phys. Rev. Lett. 97, 152301 (2006)
ReCo, or partonenergy loss?
model summary
spectrum ratio not comparable to fragmentation function ratios
e++++-e−−−−
( ; ) / ( ; )AAp t AA tH y H yπν νis directly interpretable
p
p
arXiv:0710.4504
Trainor 15
limited spectrum information
Spectrum Summary
• Spectra have two primary components
• Nucleon and parton fragmentation dominate
• Deviations from reference: parton energy loss
• Hydrodynamics plays no evident role
0 2 4 6 8 10 12 14 16
-2) (
GeV
/c)
Tdy
dpTpπ
N)/(
22
(d
-1010
-710
-410
-110
210
510
310×0-12%210×10-20%
10×20-40%
MB (0-80%)
40-60%/10240-80%/10360-80%/10
(dE/dx)+πAuAu: (dE/dx)-πAuAu: (TOF)+πAuAu: (TOF)-πAuAu:
0 2 4 6 8 10 12
AuAu: p (dE/dx) (dE/dx)pAuAu:
AuAu: p (TOF) (TOF)pAuAu:
(GeV/c)T
Transverse Momentum p
all spectrum informationyt
r AA =
HA
A /
HN
N
pions
200 GeV Au-Au
−∆yt dlog(H0) / dyt
∆yt = −0.285
A = 0.21, ∆yt = 0
200 GeV p-p
0-12%
60-80%
pQCD
0.2
0.3
0.4
0.50.60.70.80.9
1
2
3
4
5
2 2.5 3 3.5 4 4.5 5yt
r AA =
HA
A /
HN
N
protons
200 GeV Au-Au
pQCD−∆yt dlog(H0) / dyt
∆yt = −0.26
60-80%
0-12%
0.2
0.3
0.4
0.50.60.70.80.9
1
2
3
4
5
2 2.5 3 3.5 4 4.5 5
hard-component ratiosconventional spectra
pion-to-proton vs proton-to-piontwo anomalies!
Trainor 16
2D Angular Autocorrelations
peripheral
central
∆ ∆
ref
∆ρ(η ,φ )
ρ
azimuthrapidity
200 GeV Au-Au star preliminarystar preliminary
Michael Daugherity (U. Texas – Austin)
N-NAu-Au
↔↔↔↔
η ∆
φ∆
∆ρ /
√ρre
f
-2-1.5
-1-0.5
00.5
11.5
2
-10
12
34
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
η ∆
φ∆
∆ρ /
√ρre
f
-2-1.5
-1-0.5
00.5
11.5
2
-10
12
34
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
η ∆
φ∆
∆ρ /
√ρre
f
-2-1.5
-1-0.5
00.5
11.5
2
-10
12
34
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
η ∆
φ∆
∆ρ /
√ρre
f
-2-1.5
-1-0.5
00.5
11.5
2
-10
12
34
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
=
++
2D fits
minijets
quadrupole ↔↔↔↔ elliptic flowarXiv:0704.1674
Trainor 17
Modeling 2D Autocorrelations
=
η ∆
φ∆
∆ρ /
√ρre
f
-2-1.5
-1-0.5
00.5
11.5
2
-10
12
34
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
+
η ∆
φ∆
∆ρ /
√ρre
f
-2-1.5
-1-0.5
00.5
11.5
2
-10
12
34
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
η ∆
φ∆
∆ρ /
√ρre
f
-2-1.5
-1-0.5
00.5
11.5
2
-10
12
34
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
η ∆
φ∆
∆ρ /
√ρre
f
-2-1.5
-1-0.5
00.5
11.5
2
-10
12
34
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
+ +
η ∆
φ∆
∆ρ /
√ρre
f
-2-1.5
-1-0.5
00.5
11.5
2
-10
12
34
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
η ∆
φ∆
∆ρ /
√ρre
f
-2-1.5
-1-0.5
00.5
11.5
2
-10
12
34
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
large“nonflow” small “flow”
[2]A
ref
ρρ
∆[1]A
ref
ρρ
∆
( , )A
ref
ρ η φρ ∆ ∆
∆
dipole quadrupole
same-side peak
David Kettler model fits
star preliminary
5-10% central Au-Au 200 GeV
∆η∆φ
∆η∆φ HBT, electronsno physicalmodel
A A refρ ρ ρ∆ ≡ −
Trainor 18
ν
∆ρ[2
] / √
ρ ref
1D-proj-200X[2]-200X[2]-62
v2{2}v2{4}
17 GeV
62 GeV
200 GeV
{2}
{4}
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
2 4 6ν
v 2
17 GeV
62 GeV
200 GeV
v2{2}
N-N0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
2 4 6
Elliptic Flow or New QCD Physics?
model fits
= ≡2 22 2
ref
∆ρ[2] V n v {2D}2πn 2πρ
transform
star preliminary
David Kettler (U. Washington – Seattle)
~v2{EP}
{ }2v 2D
≡ binary participantν 2n /n
hydro model
star preliminary
conventional statisticPearson’s covariance Ollitrault/Voloshin
quadrupole amplitude conventional v2
Trainor 19
R(√sNN) nbin(b)
1/ε2 ∆
ρ[2]
/ √ρ
ref
0.0045 R nbin
200 GeV
62 GeV17 GeV
10-2
10-1
1
10
1 10 102
103
Does “Elliptic Flow” Relate to a Medium?
star preliminary ηηηη width
peripheral trend
62 GeV
200 GeV
amplitude
minijet same-side peak
transparent nuclei
sharp transitions
ν
−∆E
/ E, −
∆yt
20 GeV
Ejet = 10 GeV
0
0.05
0.1
0.15
0.2
0.25
0.3
1 2 3 4 5 6
no transition
medium?
no medium?
star preliminary
star preliminary
parton energy loss, spectra
peakvolume
M. Daugherity, R.L. Ray, UT (Austin)
I. Vitev
quadrupole
8×
εεεεoptical
Trainor 20
⟨pt⟩ Fluctuations and pt Correlations
δη
∆σ2 pt
:n (G
eV/c
)2
δφ 00.5
11.5
2
02
46
00.0050.01
0.0150.02
0.0250.03
0.0350.04
0.045
tps)/tp-ñtpá(·n
-5 -4 -3 -2 -1 0 1 2 3 4 5
ev
en
t n
um
be
r N
1
10
102
103
104
full STAR acceptance
variance excess
scale dependence
η ∆
∆ρ /
√ρre
f (G
eV/c
)2
φ∆-2
-1
0
1
2
02
4
-0.01-0.005
00.0050.01
0.0150.02
0.0250.03
0.035
fluctuationinversion
pt autocorrelation
⟨⟨⟨⟨pt⟩⟩⟩⟩ fluctuations
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
η ∆
∆ρ /
√ρre
f (G
eV/c
)2
φ∆
η ∆
φ∆
η ∆
∆ρ /
√ρre
f (G
eV/c
)2
φ∆
-2
-1
0
1
2
02
4
00.00250.005
0.00750.01
0.01250.015
0.01750.02
-2
-1
0
1
2
02
4
00.00250.005
0.00750.01
0.01250.015
0.01750.02
-2
-1
0
1
2
02
4
-0.003-0.002-0.001
00.0010.0020.0030.0040.0050.006
-2
-1
0
1
2
02
4
-0.01-0.008-0.006-0.004-0.002
00.0020.0040.006
20-30% central
data − fit peakfit residuals
fitdatafit peak
Au-Au 200 GeVB1
B3
B2
Rosetta stone for fluctuationand correlation analysis
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
subtract multipoles STAR preliminary
tps)/tp-ñtpá(·n
-5 -4 -3 -2 -1 0 1 2 3 4 5
Nev
tN
/e
vt
d
-5
0
5
10
15
20
25
nu
mb
er
of
ev
en
t s
Ne
vt
1
10
102
103
104
STAR Au-Au s = 130 GeVNN
J. Phys. G 31, 809 (2005)
J. Phys. G 32, L37 (2006)
Trainor 21
A-A centralityν
B1,
B2,
B3
(GeV
/c)2
B1−B2 B3
ν
σ η1, σ
φ1
ση1
σφ1
0
0.005
0.01
0.015
0.02
0.025
0.03
0.035
0.04
0.045
1 2 3 4 5 60.4
0.45
0.5
0.55
0.6
0.65
0.7
0.75
0.8
1 2 3 4 5 6
Recoil Response of the QCD Mediumred shifts and blue shifts Au-Au – 200 GeV
recoil
coloredmedium?
low-Q2 ‘jet’
η
Hubble flow
2
-2
-1
0
1
2
02
4
-0.01-0.008-0.006-0.004-0.002
00.0020.0040.006
data −−−− fit peakη ∆
φ∆-2
-1
0
1
2
02
4
-0.00250
0.00250.005
0.00750.01
0.01250.015
fragments
η ∆∆ρ /
√ρre
f (G
eV/c
)2
φ∆-2
-1
0
1
2
02
4
0
0.0010.0020.0030.0040.005
∆ρ/
∆ρ/
∆ρ/
∆ρ/√
ρρ ρρ ref
pt autocorrelationsp-p 200 GeV
Au-Au 200 GeV
Hijing quench-on
p-p
medium response
STAR preliminary
Trainor 22
The View from the Ridge• p/ππππspectrumanomaly is part of fragmentation
• Related π/π/π/π/p spectrum anomaly is larger!
• Jet “ridge” is the samefragmentation anomaly
• The “ridge” is not an isolated entity
• What evidenceexists for a unique “medium”
a couple of low-Q2
partons converse
YEP, SON,WE HAVE MET
THE MEDIUM
AND HE IS US
IT’S HARD
MOVIN’THROUGH
THIS STUFF
Porky and Pogo