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High-pt probes from RHIC to LHC
Amir H. Rezaeian
Universidad Tecnica Federico Santa Maria, Valparaiso
VII Latin American Symposium on High Energy PhysicsSILAFAE Jan 2008
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 1 / 29
Outline
Direct photon production at RHIC and LHC in pp and p(A)Acollisions:
➤ The role of saturation effects on the direct photons production➤ RpA and v2 for direct photons
Hadron productions in pA collisions from SPS to LHC via RHIC:
➤ Calculating the Broadening without any fitting(parameter-free)➤ Cronin effect for pions
References:Kopeliovich, AHR and Schmidt, PRD 78, 114009 (2008)Kopeliovich, AHR and Schmidt, NPA 807, 61 (2008)Kopeliovich, Pirner, AHR. and Schmidt, PRD 77, 034011 (2008)AHR and Z. Lu, arXiv:0810.4942Kopeliovich, AHR, Pirner and Schmidt, PLB 653, 210 (2007)
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 2 / 29
QCD x-Q2 phase diagram
x-610 -510 -410 -310 -210 -110 1
)2 =
10
GeV
2xG
(x,Q
-110
1
10
210)2 = 10 GeV2gluon (Q
ZEUS-2005
H1-PDF 2000
CTEQ6.5M
Alekhin02-NLO
MRST-NLO 2001
)2 = 10 GeV2u-quark (Q MRST2001-NLO
x-610 -510 -410 -310 -210 -110 1
)2 =
10
GeV
2xG
(x,Q
-110
1
10
210
Increasing Q2: DENSITY DECREASES, PARTONS KEEP THEIR IDENTITY.
Increasing x : The density in the transverse grows, THE PARTON IDENTITY IS LOST. Evolution is nonlinear.
Saturation scale: Q2s ∼
Axg(x,Q2s )
πR2A
∼ A1/3(p
SNN )λeλy with λ ≈ 0.3 . Saturation affects the processes in
Q2 ≤ Q2s .
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 3 / 29
Parton model versus color dipole approach
σγ∗pT ,L (x ,Q2) =
∫
d2r
∫
dzΨT ,L(z, r)σ(x, r2)
The parton model:pdfs are universal.Next to leading corrections and higher twisteffects make the computation more difficult.
The color dipole model:σ(x , r2) is universal.The description by default includes thehigher order and higher twist corrections.However, it is expected to work only at verysmall Bjorken x .Golec-Biernat, Wusthoff 99
Dipole cross section (BK Eq.): GBWmodel, Itakura-Iancu-Munier model,Kharzeev-Kovchegov-Tuchin model, ....butwhat is missing in all: dipole orientation
γ* γ*
p
z
1-zr
p
H1/ZEUS
F2
Q2=1.5 GeV2 Q2=2 Q2=2.5 Q2=3.5 Q2=4.5 Q2=5
Q2=6.5 GeV2 Q2=8.5 Q2=10 Q2=12 Q2=15 Q2=18
Q2=20 GeV2 Q2=22 Q2=25 Q2=27 Q2=35 Q2=45
Q2=60 GeV2 Q2=70 Q2=90 Q2=120 Q2=150 Q2=200
Q2=250 GeV2 Q2=350 Q2=450 Q2=650 Q2=800
H1(94/95)
ZEUS(94)
0
0.5
1
1.5
0
0.5
1
1.5
0
0.5
1
1.5
0
0.5
1
1.5
0
0.5
1
1.5
10-4
10-3
10-2
10-4
10-3
10-2
10-4
10-3
10-2
10-4
10-3
10-2
10-4
10-3
10-2
10-4
10-3
10-2Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 4 / 29
QCD x-Q2 phase diagram
p
� ~r~b
E1� zz x x0
p0
p
� E
p0
~r~b
1� zz x x0x0xx0x
σCGCqq̄ (x, r) = σ0
8
>
<
>
:
N0
“
rQs2
”2“
γs+ 1κλY
ln 2rQs
”
: rQs ≤ 2
1 − e−A ln2(BrQs ) : rQs > 2
,
σGBW-DGLAPqq̄ (x,~r) = σ0
1 − exp
−π2r2αs (µ
2)xg(x, µ2)
3σ0
!!
,
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 5 / 29
From Available measurements in (x , Q2) to LHC
x -610 -510 -410 -310 -210 -110 1
)2/c2
(GeV
2Q
-210
-110
1
10
210
310
410
510
x -610 -510 -410 -310 -210 -110 1
)2/c2
(GeV
2Q
-210
-110
1
10
210
310
410
510 )ηRHIC data (forw.
= 3.2)η (±BRAHMS h
= 1.8)η (±PHENIX h
Nuclear DIS & DY data:NMC (DIS)SLAC-E139 (DIS)FNAL-E665 (DIS)EMC (DIS)FNAL-E772 (DY)
perturbative
non-perturbative
y=1 (
HERA √s=32
0 GeV
)
x
Q2 (G
eV2 )
E665, SLAC
CCFR, NMC, BCDMS,
Fixed Target Experiments:
D0 Inclusive jets η<3
CDF/D0 Inclusive jets η<0.7
ZEUS
H1
10-1
1
10
10 2
10 3
10 4
10 5
10-6
10-5
10-4
10-3
10-2
10-1
1
10-5
10-4
10-3
10-2
10-1
10010
-2
10-1
100
101
102
103
104
2 /GeV
2
mc2
mb2
E772DY
DIS NMCE665
LHCpA
DY RHICpA
DYSPSDY
from HQ LHC, pAHQ
LHC, ApDY
saturation, Pb
saturation, p
y Q~0
y Q~3
η-10 -8 -6 -4 -2 0 2 4 6 8 10
)c
(G
eV/
η/d
Td
p
-110
1
10
210
310
410
AL
ICE
LH
Cb
CA
ST
OR
, T2
CA
ST
OR
, T2 HF
/FC
al, T
1
HF
/FC
al, T
1
ATLAS,CMS
)η/2 exp(-s = maxT
pp-p @ 14 TeV Z
DC
, LH
Cf
ZD
C, L
HC
f
TO
TE
M R
Ps
AL
FA
RP
sF
P42
0
TO
TE
M R
Ps
AL
FA
RP
sF
P42
0
η-10 -8 -6 -4 -2 0 2 4 6 8 10
)c
(G
eV/
η/d
Td
p
-110
1
10
210
310
410
~140m-240m-420m
~14-17 m
~11 m
D. d‘Enterria, 0708.0551, hep−ex/0610061
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 6 / 29
Direct photons productions at RHIC, CDF and LHC
Direct photons: photons not from hadron decays
A powerful proble for the initial state of matter created in Heavy-Ioncollisions, direct photon RpA, RAA, v2 and ... yet to be understood atRHIC..Sources of direct photons:
1: LO: Compton scattering process q + q̄ > q̄ + γ and annihilationprocess : q + q̄− > g + γ
3: NLO: Bremsstrahlung
4: NNLO: Jet fragmentation
5: pre-equilibrium photon, thermal-photon, jet-photon conversion inpresence of medium
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 7 / 29
The transverse momentum pT distribution of photon bremsstrahlung frominteraction of quark with a target t( nucleon: t=N, nucleus t=A)Kopeliovich, A.H.R., Schmidt, NPA 807, 61 (2008)
dσqt→γX (b, p, α)
d(lnα)d2~pTd2~b=
1
(2π)2
∑
in,f
∫
d2~r1d2~r2e
i~pT .(~r1−~r2)
× φ⋆γq(α,~r1)φγq(α,~r2)Ft(~b, α~r1, α~r2, x),
r
��������������������
��������������������
��������������������
��������������������
αγ
q
1−αg
βq
qr
β
rr
1−β
(1−β)α
β=1/(2−α)
+
where α = p+γ /p
+q and Ft(~b, α~r1, α~r2, x) which is a linear combination of q̄q
dipole partial amplitudes on a target t at impact parameter ~b,
Ft(~b, α~r1, α~r2, x) = Imf tqq̄(~b, α~r1, x) + Imf t
qq̄(~b, α~r2, x)
− Imf tqq̄(~b, α(~r1 −~r2), x),
Imf Aqq̄(b,~r) = 1 − exp[
∫
d2~s Imf Nqq̄(~s ,~r)TA(~b +~s)]
∫Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 8 / 29
Advantages of this approah to the parton model:
Neither K-factor (NLO corrections), nor higher twist corrections areto be added.
Quark-to-photon fragmentation function is not needed.
It is not necesary to introduce a primordial transvese momentum atthe moderate pT .
Disadvantages of this approah to the parton model:
valid at small x , high energy.
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 9 / 29
Dilepton spectrum in 800− GeV pp
Kopeliovich, A.H.R, Pirner, Schmidt, PLB 653, 210 (2007)
0 1 2 3 4 5p
T(GeV)
10-4
10-3
10-2
10-1
100
Ed
3σ
/d3P
[pb/G
eV2]
E866 DataGBWGBW-DGLAPGBW-DGLAP-Primordial
xF=0.63, M=5.70 GeV
0 1 2 3 4 5p
T(GeV)
10-3
10-2
10-1
100
Ed
3σ
/d3P
[pb/G
eV2]
E866 DataGBWGBW-DGLAPGBW-DGLAP-Primordial
xF=0.63, M=4.8 GeV
constant primordial momentum 〈k20 〉 = 0.4GeV2 is incorporated within the
GBW-DGLAP dipole model (solid line)
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 10 / 29
Direct photons productions at RHIC and CDF
0 3 6 9 12 15 18 21 24 27 30p
T [GeV]
102
103
104
105
106
d2σ
/dp
Tdη
[p
b/G
eV]
CDF dataGBW-DGLAPGBW, without charmGBW, with charmb-CGC, γ
s= 0.46
CGC, γs= 0.63
NLO QCD, CTEQ5M, µ=pT
No Sat., γs = 0.43
No Sat., γs = 1
0 2 4 6 8 10 12 14 16p
T [GeV]
10-2
100
102
104
106
Ed3 σ
/d3 P
[pb
/GeV
2 ]
RHIC dataGBW-DGLAPGBW, with charmGBW, without charmCGC, γ
s = 0.63
b-CGC, γs = 0.46
No Sat., γs = 0.43
No Sat., γs = 1
x=0.01AHR et al., PreliminaryAHR et al., Preliminary
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 11 / 29
Photons productions at LHC for different rapidities in pp
0 30 60 90 120 150 180p
T [GeV]
10-2
100
102
104
106
d2σ
/dp
Tdη
[pb/G
eV]
GBW-DGLAP, √s = 14 TeV
GBW, with charm, √s = 14 TeV
GBW, with charm √s = 5.5 TeV
GBW-DGLAP, √s = 5.5 TeV
0 2 4 6 8 10 12 14 16 18 20p
T [GeV]
10-3
100
103
106
Ed
3σ
/d3P
[p
b/G
eV2]
GBW, with charmb-CGCCGCNo Sat., γ
s = 0.43
No Sat., γs = 1
√s = 14 TeV
η = 8
η = 7
η= 6
η = 0
η = 0
AHR et al., PreliminaryAHR et al., Preliminary
At η = 0 the DGLAP anamolus dimension γs = 1 is in favour (with no Sat).At very forward rapidity, BK anamolus dimension γs = 0.43 is in favour(with no Sat).
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 12 / 29
Photons productions at LHC for different rapidities in pp
0 1 2 3 4 5 6 7 8 9 10P
T [GeV]
-50
0
50
100
150
200
250
300
10
0*
(T1
-T2
)/T
2
η = 4η = 7 η = 8
T1 = GBW with charmT2 = b-CGC
0 2 4 6 8 10P
T [GeV]
0
50
100
150
200
100*
(GB
W-r
2)/r2
1×106
2×106
3×106
4×106
5×106
Ed3 σ/
d3 P [p
b/G
eV2 ]
GBW, without charmGBW. with charmCGCNo Sat., γ
s = 0.43
5.0×105
1.0×106
Ed3 σ/
d3 P [p
b/G
eV2 ]
0 1 2 3 4 5 6 7 8 9 10η
0.0
1.0×105
2.0×105
3.0×105
4.0×105
5.0×105
Ed3 σ/
d3 P [p
b/G
eV2 ]
pT = 1 GeV
pT = 2 GeV
√s = 14 TeV
pT = 3 GeV
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 13 / 29
Elliptic flow for photons
Why Azimuthal asymmetry?Observables will become azimuthally dependent if they are sensitive to thedensity and size of system → A good test of many features of QGP
ZY
Y
X
X
ψ
φ
b
E d3N i
d3pT= 1
2πd2N i
pT dpT dy
(
1 +∑
∞
n=1 2v incos(n(φ− ψ))
)
v2 = 〈cos(2(φ − ψ))〉 φ = tan−1py/pxAmir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 14 / 29
color dipole orientation and Azimuthal asymmetry
Kopeliovich, Pirner, AHR., Schmidt, PRD 77, 034011 (2008)
2
1
1 2
( )s, rf
( )s, rf
> ( )s, rf( )s, rf
qq qq
1−
α
1−
αr
rα
α
s
s
The main idea: An azimuthal asymmetry appears due to dependence of theinteraction of a dipole on its orientation.
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 15 / 29
dipole orientationA toy model: two-gluon exchange
An azimuthal asymmetry appears due to dependence of the interaction ofa dipole on its orientation.
Imfqq̄q(~s ,~r) =
2
9π2
∫
d2q d2q′ αs(q2)αs(q
′2)
(q2 + µ2)(q′2 + µ2)
×[
e i~q·(~s+~r/2) − e i~q·(~s−~r/2)] [
e i~q ′·(~s+~r/2) − e i~q ′
·(~s−~r/2)]
=8α2
s
9
[
K0
(
µ
∣
∣
∣
∣
~s +~r
2
∣
∣
∣
∣
)
− K0
(
µ
∣
∣
∣
∣
~s −~r
2
∣
∣
∣
∣
)]2
This expression explicitly exposes a correlation between ~r and ~s: theamplitude vanishes when ~s ·~r = 0.
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 16 / 29
Color dipole orientation
Kopeliovich, Pirner, AHR., Schmidt, PRD 77, 034011 (2008)
Imf Nq̄q(~s,~r , β) =
1
12π
∫
d2q d2q′
q2 q′2αs F(x , ~q, ~q ′)e i~s·(~q−~q ′)
×(
e−i~q·~rβ − e i~q·~r(1−β)) (
e i~q′·~rβ − e−i~q′
·~r(1−β))
where αs =√
αs(q2)αs(q′2)
βq
qr
β
rr
1−β
(1−β)
F(x , q) = F(x , ~q, ~q = ~q ′).
σNqq̄(r) = 2
∫
d2~s Imf Nqq̄(~s ,~r)
=4π
3
∫
d2q
q4(1 − e−i~q.~r )αs(q
2)F(x , q).
Relying on the saturation shape (CGC) of the dipole cross-section σN (r)Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 17 / 29
σNqq̄(r) = 2
∫
d2~s Imf Nqq̄(~s,~r) = σ0
(
1 − e−r2/R20
)
0
2
4
6
-2
0
2
0
1
2
3
0
2
4
0
2
4
6
-2
0
2
3.6843.6863.6883.69
3.692
0
2
4
0
2
4
6
-2
0
2
0
0.5
1
0
2
4
0
2
4
6
-2
0
2
0
0.001
0.002
0
2
4
α = 0 (β = 1/2)
α = 1 (β = 1)
δqqN
Im f
r [fm]
s = 0 s = 2 fm
s = 0 s = 2 fm
0 1 2 3 4 5 6 7 8 9 10
r (GeV-1
)
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
σ (
mb
)
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 18 / 29
Direct photon v2 at RHIC
3 4 5 6 7 8
-0.04
-0.02
0
0.02
0.04
0.06
0.08
v2
γ
N-N + jet-frag.direct γdirect γ (no E-loss)
3 4 5 6 7 8p
T (GeV/c)
3 4 5 6 7 8
0-20 % 20-40 % 40-60 %
0.5 1 1.5 2 2.5 3 3.5p
T (GeV)
-0.0025
-0.002
-0.0015
-0.001
-0.0005
0
0.0005
0.001
v2
AA
B = 13 fm
B = 9.4 fm
B = 7 fm
4 6 8 10-0.08
-0.06
-0.04
-0.02
0.00
0.02
0.04
6 8 10
Au+Au @ s1/2
NN = 200 GeV
v2
pT (GeV/c)
jet-photon conv total initial production jet fragment
30%-- 40%
pT (GeV/c)
40%-- 50%
T
T
Turbide et al, PRL 96, 032303 (2006) Kopeliovich, AHR, Schmidt, arXiv:0712.2829
Chatterjee et al, PRL 96, 202302 (2006) Liu and Fries, arXiv:0801.0453
Thermal Photons
Jet−Photons conv
Prompt Photons
bremsstrahlung
Kopeliovich, AHR, Schmidt, NPA 807,61 (2008)
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 19 / 29
Cronin effect for photons in pA collisions
What is Cronin effect?
RpA =
dσpA→h+X
dyd2pT
〈Nbinary 〉dσpp→h+X
dyd2pT
,
Two very different approaches to compute the Cronin factor RpA
Initial-state effectsDue to the broadening of the parton transverse momentum in theinitial-state where the fragmentation of hard partons is assumed tooccur outside the cold medium.
Final-state effectsDue to the recombination of soft and shower partons in the final-state.
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 20 / 29
Cronin effect for direct photons, Prediction for RHIC andLHC (preliminary)
0 1 2 3 4 5 6 7p
T [GeV]
0.6
0.8
1
1.2
1.4
1.6
1.8
2
Rγ d
Au
without charm, with shadowingwithout charm, without shadowingwith charm, with shadowingwith charm, without shadowing
√s = 200 GeV, min bias <k
T
2> = 0, GBW
0 1 2 3 4 5 6 7p
T [GeV]
0.6
0.8
1
1.2
1.4
1.6
1.8
2
Rγ d
Au
without charm, with shadowingwithout charm, without shadowingwith charm, with shadowingWith charm, without shadowing
LHC, 5.5 TeV, min bias<k
T
2> = 0, GBW
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 21 / 29
Hadron production in PQCD+color dipole scheme
dσhpA
d2pT
= K∑
i ,j,k,l
Fi/p ⊗ Fj/A ⊗d σ̂
dt̂(ij → kl) ⊗ Dh
k
Fi/p = fi/p
(
xi ,Q2)
⊗dNi
d2kiT
(xi , b) and Fj/A = TA(b) fj/A
(
xj ,Q2)
⊗dN
(0)j
d2kjT
(xj , b)
GG
AA
Johnson, Kopeliovich and Tarasov, PRC 63 (2001) 035203
dNi
d2kiT
=1
(2π)2
∫
d2r1d2r2 e i ~kT (~r1−~r2)
[
〈k2T 〉
πe−
12 (r2
1 +r22 )〈k2
T 〉
]
[
e−12 σN
q̄q(~r1−~r2,x) TA(b)]
σNq̄q(~r1 −~r2, x)TA(b) → Imf N
qq̄(~s,~r1 −~r2, x) ⊗ TA(~b +~s)
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 22 / 29
pions production in pp collisions at RHIC
AHR, Lu, arXiv:0810.4942
10-8
10-6
10-4
10-2
100
Ed
3σ
/d3P
[m
b/G
eV
2]
PHENIX, π0
AKK08Kretzer
0 2 4 6 8 10 12 14 16P
T [GeV]
-0.8
-0.4
0
0.4
0.8
(DA
TA
-Th
eo
ry)/
Th
eo
ry
√s = 200 GeV, p + p
10-6
10-4
10-2
100
102
Ed
3σ
/d3P
[m
b/G
eV
2]
STAR, π++ π−
STAR, (p + p)* 0.1
0 2 4 6 8P
T [GeV]
-0.8-0.4
00.40.8
(Data
-Th
eo
ry)/
Th
eo
ry
√s = 200 GeV, p + p
AKK08
0 1 2 3 4 5 6 7 8 9p
T[GeV]
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
STAR p/π+
STAR p/π−
(p+p)/(π++π−)
√s = 200 GeV, p+p
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 23 / 29
pions production in pA collisions at RHIC
AHR, Lu, arXiv:0810.4942
0.6
0.8
1
1.2
1.4
1.6
1.8
2
RdA
u
PHENIX (min bias)HKN 07HIJING newEKS 98
0 2 4 6 8 10 12 14p
T [GeV]
0.6
0.8
1
1.2
1.4
RdA
u
PHENIX (min bias)KretzerAKK08
√s = 200 GeV, π0
HIJING new
AKK08
0.4
0.8
1.2
1.6
RdA
u
PHENIX (0-20%)
0.4
0.8
1.2
1.6
RdA
u
PHENIX (20-40%)
0 2 4 6 8 10p
T [GeV]
0.4
0.8
1.2
1.6
RdA
uPHENIX (40-60 %)
√s = 200 GeV, π0
0
0.4
0.8
1.2
1.6
2
2.4
2.8
RdA
u
STAR (min bias), p+ pHKN 07HIJING newEKS 98
0 1 2 3 4 5 6 7 8 9p
T [GeV]
0
0.4
0.8
1.2
1.6
2
2.4
2.8
RdA
u
STAR (min bias), π++π−
AKK08
The observed Cronin ratio for pions in d + Au collisions can be fairlydescribed by transverse momentum broadening due to initial partonsmulti-scatterings. But the same mechanism seems to underestimatethe observed Cronin ratio for protons in d + Au collisions.
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 24 / 29
Our choices:
1: Initial state-effects might not be totally accountable for the observedCronin effect for baryons in p + A collisions and the separation of partonsinto two non-interacting components, soft and hard, might be anoversimplification.
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 25 / 29
Our choices:
1: Initial state-effects might not be totally accountable for the observedCronin effect for baryons in p + A collisions and the separation of partonsinto two non-interacting components, soft and hard, might be anoversimplification.
2: Baryons productions mechanism in cold nuclear medium is different frompions productions.
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 25 / 29
Our choices:
1: Initial state-effects might not be totally accountable for the observedCronin effect for baryons in p + A collisions and the separation of partonsinto two non-interacting components, soft and hard, might be anoversimplification.
2: Baryons productions mechanism in cold nuclear medium is different frompions productions.
3: Both 1 and 2 are correct!
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 25 / 29
Our choices:
1: Initial state-effects might not be totally accountable for the observedCronin effect for baryons in p + A collisions and the separation of partonsinto two non-interacting components, soft and hard, might be anoversimplification.
2: Baryons productions mechanism in cold nuclear medium is different frompions productions.
3: Both 1 and 2 are correct!
4: None of 1,2,3
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 25 / 29
Pions v2 in pp and pA collisions (predictions)
Kopeliovich, AHR and Schmidt, PRD 78, 114009 (2008)
1 1.5 2 2.5 3 3.5p
T [GeV]
0
0.01
0.02
0.03
v2
π
b = 0.2 fmb = 0.4 fmb = 0.6 fm
√s = 200 GeV, pp π0
X
GBW model
1.5 2 2.5 3 3.5 4 4.5 5 5.5 6p
T [GeV]
0
0.001
0.002
0.003
0.004
0.005
0.006
0.007
v2
π
b = 7 fmb = 6 fm
E lab
= 400 GeV, pAu π0X
KST model
Azimuthal asymmetry of pions in both pp and pA collisions is rather small. This
indicates that the contribution of the initial state effects, which is present in cold
nuclear matter in the observed azimuthal asymmetry v2 of the produced hadrons
in AA collisions at RHIC, is very small.Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 26 / 29
Cronin effect for pions, prediction for LHC at η = 0
1: PQCD factorization+color dipole
2: Color dipole factorization
3: Color Glass condensate senario
Predictions are based on:
2 4 6 8 10p
T [GeV]
0.6
0.8
1
1.2
1.4
1.6R
dA
uRHIC Data (min bias)RHIC, √
s = 200 GeV
LHC, √s = 5.5 TeV
dAu π0X
EKS, <kT
2> = 3 GeV
2
0.8
0.9
1
1.1
1.2
0.8
0.9
1
1.1
1.2
0 2 4 6 8 10 12 14 16
pT (GeV/c)
RA(p
T)
√s−=200 GeV
√s−=5.5 TeV
pT (GeV)
R d+A
u
0
0.2
0.4
0.6
0.8
1
0 1 2 3 4 5 6
Kopeliovich, et al, PRL 88 (2002) 232303
Kharzeev, et al, PLB 599 (2004) 23
AHR, et al, (Preliminary)
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 27 / 29
Summary and outlook
Direct photons: A global picture is emerging where the physics ofQCD jets and electromagnetic probe in nuclear collisions need to betreated systematically in order to understand the underlying dynamics.
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 28 / 29
Summary and outlook
Direct photons: A global picture is emerging where the physics ofQCD jets and electromagnetic probe in nuclear collisions need to betreated systematically in order to understand the underlying dynamics.
LHC is expected to become a laboratory for gluo-dynamics, whichshould settle many of controversies in our understanding the small-xphysics, e.g the saturation effects.
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 28 / 29
Summary and outlook
Direct photons: A global picture is emerging where the physics ofQCD jets and electromagnetic probe in nuclear collisions need to betreated systematically in order to understand the underlying dynamics.
LHC is expected to become a laboratory for gluo-dynamics, whichshould settle many of controversies in our understanding the small-xphysics, e.g the saturation effects.
The inclusive direct photons production is not very sensitive to thesaturation effects even at very forward rapidities at LHC, while itstrongly depends on the anamolous dimension.
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 28 / 29
Summary and outlook
Direct photons: A global picture is emerging where the physics ofQCD jets and electromagnetic probe in nuclear collisions need to betreated systematically in order to understand the underlying dynamics.
LHC is expected to become a laboratory for gluo-dynamics, whichshould settle many of controversies in our understanding the small-xphysics, e.g the saturation effects.
The inclusive direct photons production is not very sensitive to thesaturation effects even at very forward rapidities at LHC, while itstrongly depends on the anamolous dimension.
One can measure anamolous dimension (coming either from DGLAP,BFKL, BK or etc) by LHC.
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 28 / 29
Summary and outlook
Direct photons: A global picture is emerging where the physics ofQCD jets and electromagnetic probe in nuclear collisions need to betreated systematically in order to understand the underlying dynamics.
LHC is expected to become a laboratory for gluo-dynamics, whichshould settle many of controversies in our understanding the small-xphysics, e.g the saturation effects.
The inclusive direct photons production is not very sensitive to thesaturation effects even at very forward rapidities at LHC, while itstrongly depends on the anamolous dimension.
One can measure anamolous dimension (coming either from DGLAP,BFKL, BK or etc) by LHC.
LHC data with nuclear beams will reveal the gluonic structure ofnuclei. They should resolve the controversy about the magnitude ofgluon shadowing. The saturation scale in nuclei is expected to reachvalues of few GeV, leading to strong observable effects.
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 28 / 29
Looking forward to the first real collision
Amir H. Rezaeian (USM) SILAFAE Bariloche Jan 2009 29 / 29