theoretical overview of jet quenching
José Guilherme Milhano
CENTRA-IST (Lisbon) & CERN PH-TH guilherme.milhano@cern.ch http:/www.qcdlhc.ist.utl.pt
Quark Matter 2012, Washington DC, 14th August 2012
theoretical overview of jet quenching Jos Guilherme Milhano - - PowerPoint PPT Presentation
theoretical overview of jet quenching Jos Guilherme Milhano CENTRA-IST (Lisbon) & CERN PH-TH guilherme.milhano@cern.ch http:/www.qcdlhc.ist.utl.pt Quark Matter 2012, Washington DC, 14th August 2012 the study of jets [reconstructed jets
José Guilherme Milhano
CENTRA-IST (Lisbon) & CERN PH-TH guilherme.milhano@cern.ch http:/www.qcdlhc.ist.utl.pt
Quark Matter 2012, Washington DC, 14th August 2012
#1 establishing the probe
#1 establishing the probe #2 probing the medium
#1 establishing the probe #2 probing the medium not covered in this talk:
W Horowitz H-U Yee today 12.15 friday 12.15
vacuum jets under overall excellent theoretical control
jet :: collimated spray of hadrons resulting from the QCD branching of a hard [high-pt] parton and subsequent hadronization of fragments and grouped according to given procedure [jet algorithm] and for given defining parameters [eg, jet radius]
jet :: collimated spray of hadrons resulting from the QCD branching of a hard [high-pt] parton and subsequent hadronization of fragments and grouped according to given procedure [jet algorithm] and for given defining parameters [eg, jet radius]
in HIC jets traverse sizable in-medium pathlength
same factorizable structure [challengeable working hypothesis]
sufficiently constrained in relevant kinematical domain [further improvement from future pA data]
nPDF i nPDF j
sufficiently constrained in relevant kinematical domain [further improvement from future pA data]
nPDF i nPDF j
hard scattering
localized on point like scale
[calculable to arbitrary pQCD order]
nPDF i nPDF j
hard scattering
factorized initial state [insensitive to produced medium]
QCD branching
very well [and perturbatively] understood in vacuum
medium modified
nPDF i nPDF j
hard scattering
factorized initial state [insensitive to produced medium]
QCD branching
nPDF i nPDF j
hard scattering
factorized initial state [insensitive to produced medium]
hadronization
h1 h2 h3
in vacuum
in medium
fragmentation outside medium = vacuum FFs ???
QCD branching very well [and perturbatively] understood in vacuum
medium modified
nPDF i nPDF j
hard scattering
factorized initial state [insensitive to produced medium]
hadronization
h1 h2 h3
in vacuum
in medium
fragmentation outside medium = vacuum FFs ???
fragmentation function
jet reconstruction
QCD branching very well [and perturbatively] understood in vacuum
medium modified
nPDF i nPDF j
hard scattering
factorized initial state [insensitive to produced medium]
hadronization
h1 h2 h3
in vacuum
in medium
fragmentation outside medium = vacuum FFs ???
fragmentation function
jet reconstruction
jet quenching ::
:: probe :: physical object/process under strict theoretical control for which a definite relationship between its observable properties and those
DGLAP [HT]
DGLAP [HT]
MARTINI]
DGLAP [HT]
strict applicability domain]
z
0.2 0.4 0.6 0.8 1
(z)
pp
(z)/D
AA
D
0.2 0.4 0.6 0.8 1 1.2
L = 2 fm, E = 20 GeV /fm
2
= 1.25 GeV q T = 250 MeV,
HT AMY GLV ASW
z
0.2 0.4 0.6 0.8 1
(z)
pp
(z)/D
AA
D
0.2 0.4 0.6 0.8 1 1.2
L = 2 fm, E = 20 GeV /fm
2
= 2.97 GeV q T = 350 MeV,
HT AMY GLV ASW
z
0.2 0.4 0.6 0.8 1
(z)
pp
(z)/D
AA
D
0.2 0.4 0.6 0.8 1 1.2
L = 5 fm, E = 20 GeV /fm
2
= 1.25 GeV q T = 250 MeV,
HT AMY GLV ASW
z
0.2 0.4 0.6 0.8 1
(z)
pp
(z)/D
AA
D
0.2 0.4 0.6 0.8 1 1.2
L = 5 fm, E = 20 GeV /fm
2
= 2.97 GeV q T = 350 MeV,
HT AMY GLV ASW
medium modification of quark fragmentation function Majumder & van Leeuwen [1002.2206]
DGLAP [HT]
strict applicability domain]
z
0.2 0.4 0.6 0.8 1
(z)
pp
(z)/D
AA
D
0.2 0.4 0.6 0.8 1 1.2
L = 2 fm, E = 20 GeV /fm
2
= 1.25 GeV q T = 250 MeV,
HT AMY GLV ASW
z
0.2 0.4 0.6 0.8 1
(z)
pp
(z)/D
AA
D
0.2 0.4 0.6 0.8 1 1.2
L = 2 fm, E = 20 GeV /fm
2
= 2.97 GeV q T = 350 MeV,
HT AMY GLV ASW
z
0.2 0.4 0.6 0.8 1
(z)
pp
(z)/D
AA
D
0.2 0.4 0.6 0.8 1 1.2
L = 5 fm, E = 20 GeV /fm
2
= 1.25 GeV q T = 250 MeV,
HT AMY GLV ASW
z
0.2 0.4 0.6 0.8 1
(z)
pp
(z)/D
AA
D
0.2 0.4 0.6 0.8 1 1.2
L = 5 fm, E = 20 GeV /fm
2
= 2.97 GeV q T = 350 MeV,
HT AMY GLV ASW
medium modification of quark fragmentation function Majumder & van Leeuwen [1002.2206]
[x=ω/E≪1] but emission spectrum computed for all allowed phase space with violation of energy-momentum conservation cured by explicit cut-offs
[x=ω/E≪1] but emission spectrum computed for all allowed phase space with violation of energy-momentum conservation cured by explicit cut-offs
scattering approximation, and small-large x interpolating ansatz
x 0.2 0.4 0.6 0.8 1
+
dE dI
+
E 0.2 0.4 0.6 0.8 1 = 500
+
L
c
ω = 0.01
+ c
ω p/ = 0.1
+ c
ω p/ = 1
+ c
ω p/ = 10
+ c
ω p/ x 0.2 0.4 0.6 0.8 1
+
dE dI
+
E 0.5 1 1.5 2 2.5 3 3.5 4 = 10000
+
L
c
ω = 0.01
+ c
ω p/ = 0.1
+ c
ω p/ = 1
+ c
ω p/ = 10
+ c
ω p/
Apolinário, Armesto, Salgado [1204.2929]
[x=ω/E≪1] but emission spectrum computed for all allowed phase space with violation of energy-momentum conservation cured by explicit cut-offs
d’Eramo, Liu, Rajagopal [1010.0890] Ovanesyan & Vitev [1103.1074, 1109.5619]
application for jet quenching pioneered by Adilbi & Majumder [0808.1087]
Ovanesyan fri 16.50 [parallel 7E]
interference pattern
interference pattern
k⊥, ω
MAJOR EFFORT Mehtar-Tani, Salgado, Tywoniuk [1009.2965 … 1205.5739] Casalderrey-Solana & Iancu [1105.1760]
Mehtar-Tani thu 15.20 [parallel 5D]
interference pattern
k⊥, ω
MAJOR EFFORT Mehtar-Tani, Salgado, Tywoniuk [1009.2965 … 1205.5739] Casalderrey-Solana & Iancu [1105.1760]
Mehtar-Tani thu 15.20 [parallel 5D]
p p p k k k p p p
q q q q q q* * *
− − −
Armesto, Ma, Martínez, Mehtar-Tani, Salgado[1207.0984]
a challenge for factorization ???
interference pattern
k⊥, ω
∆med = 1 − exp ⇢ − 1 12 ˆ qθ2
q¯ qt3
✓ 1 ˆ qθ2
q¯ q
◆1/3
interference pattern
k⊥, ω
∆med = 1 − exp ⇢ − 1 12 ˆ qθ2
q¯ qt3
✓ 1 ˆ qθ2
q¯ q
◆1/3
interference pattern
k⊥, ω
∆med = 1 − exp ⇢ − 1 12 ˆ qθ2
q¯ qt3
✓ 1 ˆ qθ2
q¯ q
◆1/3
0.1 0.2 0.3 0.4
θ
2 4 6 8 10 12
ω dN/dωdθ
vacuum radiation
medium-induced radiation
α-1
ω → 0 dN tot
q,γ∗ = αsCF
π dω ω sin θ dθ 1 cos θ [Θ(cos θ cos θq¯
q) ∆med Θ(cos θq¯ q cos θ)]
interference pattern
k⊥, ω
∆med = 1 − exp ⇢ − 1 12 ˆ qθ2
q¯ qt3
✓ 1 ˆ qθ2
q¯ q
◆1/3
0.1 0.2 0.3 0.4
θ
2 4 6 8 10 12
ω dN/dωdθ
vacuum radiation
medium-induced radiation
α-1
ω → 0 dN tot
q,γ∗ = αsCF
π dω ω sin θ dθ 1 cos θ [Θ(cos θ cos θq¯
q) ∆med Θ(cos θq¯ q cos θ)]
Δmed → 0 coherence
interference pattern
k⊥, ω
∆med = 1 − exp ⇢ − 1 12 ˆ qθ2
q¯ qt3
✓ 1 ˆ qθ2
q¯ q
◆1/3
0.1 0.2 0.3 0.4
θ
2 4 6 8 10 12
ω dN/dωdθ
vacuum radiation
medium-induced radiation
α-1
ω → 0 dN tot
q,γ∗ = αsCF
π dω ω sin θ dθ 1 cos θ [Θ(cos θ cos θq¯
q) ∆med Θ(cos θq¯ q cos θ)]
Δmed → 0 coherence Δmed → 1 decoherence
interference pattern
generating functional
Blaizot, Dominguez, Iancu, Mehtar-Tani [soon]
Dominguez wed 10.10 [parallel 3B]
interference pattern
generating functional
Blaizot, Dominguez, Iancu, Mehtar-Tani [soon]
Dominguez wed 10.10 [parallel 3B]
Rmed
q
≈ 4ω Z L dt0 Z d2k0 (2π)2 P(k − k0, L − t0) sin ✓ k02 2k2
f
◆ e
k02
2k2 f
τf =
q
k2
f = √ˆ
qω Q2
s = ˆ
qL
classical broadening can transport gluons up
classical broadening quantum emission/broadening during formation time AN IMPORTANT LESSON FROM DATA large broadening [beyond quasi-eikonal] is a prominent dynamical mechanism for jet energy loss [dijet asymmetry]
AN IMPORTANT LESSON FROM DATA large broadening [beyond quasi-eikonal] is a prominent dynamical mechanism for jet energy loss [dijet asymmetry]
[vacuum] is very short
to large angles
ET1 ET2<ET1
12 fm
hk⊥i ⇠ p ˆ qL
τ ∼ ω k2
⊥
hk2
⊥i ⇠ ˆ
qτ
rω ˆ q
ω ≤ p ˆ qL
Casalderrey-Solana, Milhano, Wiedemann [1105.1760] Qin & Muller [1012.5280]
ET1 ET2<ET1
12 fm
150 200 250 300 350 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 qhat = 17 GeV^2/fm R=0.3 0-20% centralityRjets
AA
pt,1
0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 PbPb [CMS] qhat = 17 GeV^2/fm180 < pT,1 < 220 GeV
1 Nevents dN dx
x = pt,2 pt,1
150 200 250 300 350 400 0.8 0.85 0.9 0.95 1 PbPb qhat = 17 GeV^2/fm⇥ #dijets/#leading jets ⇤
P bP b⇥ · · · ⇤
vac 150 200 250 300 350 0.5 0.6 0.7 0.8 PYTHIA+HYDJET [CMS] parametrization PbPb 0-20% [CMS] qhat = 17 GeV^2/fmpt,1 pt,1
0.5 1 1.5 2 0.5 1 1.5 2 PbPb [CMS] qhat = 17 GeV^2/fm pT γ > 60 GeV pT jet > 30 GeV 0-10% centrality 1 Nevents dN dxhxi
HP 2012 Intriguing [given its naivety and caveats] excellent overall account of data need first principle calculation to support
i i i i i i Medium highpT quark Nucleus 1 Nucleus 2 hard process j j k k l l l l
no medium interaction after radiation
Beraudo, Milhano, Wiedemann [1109.5025, 1204.4342]
i i i i i i Medium highpT quark Nucleus 1 Nucleus 2 hard process j j k k l l l l
no medium interaction after radiation
i i Medium highpT quark Nucleus 1 Nucleus 2 hard process l l l l k i i j j j j k
medium interaction after radiation
Beraudo, Milhano, Wiedemann [1109.5025, 1204.4342]
i i i i i i Medium highpT quark Nucleus 1 Nucleus 2 hard process j j k k l l l l
no medium interaction after radiation
i i Medium highpT quark Nucleus 1 Nucleus 2 hard process l l l l k i i j j j j k
medium interaction after radiation
first steps towards fully colour differential framework
10 20 30 40 50 60
pT primary hadrons (GeV)
0.001 0.01 0.1 1 10
1/Nev(dN/dpT) (GeV
In-medium FSR In-medium ISR (leading+subleading strings) In-medium ISR (only leading string)
Equark=50 GeV, Eradiated gluon=5 GeV, φgluon=0.1, T=200 MeV
generic [robust] effects:
kinematically unviable
modification of jet hadrochemistry Aurenche & Zakharov [1109.6819]
10 20 30 40 50 60
pT primary hadrons (GeV)
0.001 0.01 0.1 1 10
1/Nev(dN/dpT) (GeV
In-medium FSR In-medium ISR (leading+subleading strings) In-medium ISR (only leading string)
Equark=50 GeV, Eradiated gluon=5 GeV, φgluon=0.1, T=200 MeV
generic [robust] effects:
kinematically unviable
modification of jet hadrochemistry Aurenche & Zakharov [1109.6819]
soft components at large angles [double counting ?]
soft components at large angles [double counting ?]
soft components at large angles [double counting ?]
Renk [1110.2313,1112.2503,1202.4579]
0.2 0.4 0.6 0.8 1 zT 0.2 0.4 0.6 0.8 1 IAA STAR data YaJEM-D YaJEM-DE ASW AdS
AuAu 200 AGeV 0-5% centrality
trigger 8 - 15 GeV
sensitivity of IAA to weight of elastic energy loss
10 15 20 pT (GeV/c) 0.1 1 RAA
π0 WHDG RHIC Constrained π0 WHDG LHC Extrapolation π0 PHENIX 0-5% hch PHENIX 0-5% hch STAR 0-5% hch ALICE 0-5% hch ALICE 70-80%
Gyulassi, Horowitz [1104.4958] Betz, Gyulassi [1201.0281]
Betz today 17.45 [parallel 2B] Renk wed 8.30 [parallel 3B] Coleman-Smith thu 14.00 [parallel 5C] Buzzatti thu 15.50 [parallel 5C]
Vitev today 15.35 [parallel 1B]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 20 30 40 50 60 70 80 90 100 RAA of all charged particles pT [GeV/c] s=0.27, 0-5% centrality s=0.27, 0-5% centrality, finite-size dependence s=0.27, 0-5% centrality, finite-size dependence, running coupling LHC
MARTINI running coupling
effecting jet quenching
ˆ q = 4⇡2↵s Nc Z dy−d2y⊥d2k⊥ (2⇡)3 e
i
k2 ⊥y− 2q− −ik⊥·y⊥
⌦
Z ⌦ P
⇥ F a
⊥ +µ(y−, y⊥)U †(∞−, y⊥; 0−, y⊥)
⌦
⊥ ⊥
∞
⊥ ⊥
T †(∞−, ~ ∞⊥; ∞−, y⊥)T(∞−, ∞⊥; ∞−, 0⊥)
+ i
∞⊥ ∞
⊥
∞ ∞ U(∞−, 0⊥; 0−, 0⊥)F b
⊥ + ,µ
i
E
Majumder thu 14.00 [parallel 5D] Lekaveckas thu 14.20 [parallel 5B]
MC efforts reviewed by K Zapp [QM2011]
experimental reality
‘establish the probe’ programme
medium probing