![Page 1: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/1.jpg)
1
Xin-Nian WangCentral China Normal University / Lawrence Berkeley National Lab
Jet transport coefficients in heavy-ion collisions
Symposium on New Frontiers in QCD 2013
![Page 2: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/2.jpg)
2
Properties of QGP• Space-time profile:
• EOS:
• EM response:
• Bulk transport:
• Jet transport:• …
![Page 3: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/3.jpg)
Probes of QGP in A+A Collisions
Hard probes: medium response to hard scattering
Jet quenching:
EM Probes: Medium response to EM interaction
g prod., J/Y suppression:
Soft probes: Bulk properties of mediumcollective flow:
![Page 4: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/4.jpg)
Multiple scattering and gauge invariance
p....
k
Jet transport operatordue to color Lorentz force
Liang, XNW & Zhou ( 2008 )
Collins & Soper(82)Belitsky, Ji & Yuan’ 2002
![Page 5: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/5.jpg)
Transverse momentum broadening
(BDMPS’96)
Random talk or two-gluon correlation approximation:
![Page 6: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/6.jpg)
6
pt broadening in cold nuclei
e+A hadrons + X p+A l+l-, J/Y + X
![Page 7: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/7.jpg)
7
Azimuthal asymmetry
Liang & XNW (2007)Gao, Liang & XNW (2010)Song, Gao Liang & XNW (2011), (2013)
![Page 8: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/8.jpg)
8
Jet transport in thermal QCD medium
LO pQCD (with HTL)
NLO pQCD (with HTL) Caron-Huot 2008
LO
Gelis, Blaizot & Baym 2007
![Page 9: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/9.jpg)
9
Non-perturbative contribution to qhat
Tilt the parton into space-like or boost to the rest frame of the probe Caron-Huot (2009), Ji (2013):
Laine & Rothkopf (2013)
EQCD: for soft mode ; match to NLO pQCD at higher kT
Panero, Rummukainen & Schaefer (2013)
D’Eramo, et al (2012)
Analytic continuation: Majumder (2012)
![Page 10: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/10.jpg)
Parton energy loss in Medium....
k(BDMPS’96)
Arnold, Moor, Yaffe (AMY’01): DS eqs.McGill-AMY: coupled rate equations
Guo & XNW’00, Zhang,Wang, XNW’03High-twist approach: Modified frag. Func.
McGill-AMY, MARTINI-AMY, CUJET, HT-BW, HT-M, JEWEL, JaYEM, PCM, BAMPS ….
Gyulassy-Levai-Vitev (GLV’00): Opacity expansion
![Page 11: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/11.jpg)
11
qhat from DIS of large nuclei
Deng & XNW (2010)
Single hadron
dihadron
Majumder, Wang, XNW (2007)
e-
![Page 12: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/12.jpg)
Jet Quenching at RHIC & LHC
Pedestal&flow subtracted
STAR Preliminary
![Page 13: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/13.jpg)
13
Hard and soft probes
Pb-Pb
pp reference
soft probes hard probes
![Page 14: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/14.jpg)
14
Jet quenching phenomenology 3+1D hydro + Jet transport + Hadronization• A general framework for numerical
implementation of different approaches & improvement of jet transport
• Hadronization: fragmentation & recombination• Realistic bulk evolutions: e-by-e 3(2)+1 hydro :
constrained by bulk hadron spectra, vn,
http://jet.lbl.gov
• iEBE: E-by-E viscous hydro- generating bulk medium on-demand• First JET package: viscous hydro+ semi-analytic jet quenching:
CUJET, McGill-AMY, MARTINI-AMY, HT-BW, HT-M (will expand to other models)
![Page 15: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/15.jpg)
15
Jet quenching phenomenology
McGill-AMY
HT-M
HT-BW
![Page 16: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/16.jpg)
Jet transport coefficient
JET Collaboration (preliminary)
Future: dihadron, gamma-hadron, flavor dependence, jet observables
preliminary
![Page 17: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/17.jpg)
17
Effect of recoils and jet broadeningXNW and Zhu (2013)
Li, Liu, Ma, XNW and Zhu ( 2010 )Ma and XNW (2011)
![Page 18: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/18.jpg)
18
Medium mod. of frag function
Energy of reconstructed jet dominated by leading particleSuppression of fragmentation functions relative to initial energy
XNW and Zhu, PRL 111(2013)062301 Seen in CMS & ATLAS single jets
XNW, Huang & Sarcevic (1996)
![Page 19: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/19.jpg)
19
NLO and factorization• Uncertainty in scale dependence of collinear LO results • Medium properties & hard scattering factorizable?
• Complete cancellation of soft-collinear divergence• Complete factorization of the collinear divergence Kang, Wang, XNW, Xing (2013)
arXiv:1106.1106
51 diagrams
![Page 20: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/20.jpg)
Gluon saturation in QGP
20
2sQ
DGLAP
Gluon saturation
222
2( ) (
4( )
1, ) min( , ) ( 1/ )A N N s
s As
cc c
CQ xG x Q L L L xTx
N
DGLAP evolution in linearized regime
Casalderrey-Salana, & XNW’07
![Page 21: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/21.jpg)
21
Summary
Bluhm, Kampfer & Redlich 2010
Majumder, Muller & XNW (2007)
AdS/CFT
EM emissions, quarkonium, jet quenching & collective flows: constraints on the transport properties of the sQGP in A+A
Future: mapping out T-dependence at RHIC & LHC
![Page 22: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/22.jpg)
22
![Page 23: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/23.jpg)
23
Backup
![Page 24: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/24.jpg)
24
Multiple gluon emissions
Formation time
Iteration of single gluon emission:mDGLAP (HT), MC of rate equation (JEWEL, MARTINI, LBT, PCM)
Color coherence is rapidly lost in medium, independent emission is enhanced by L/tf
Blaizot, Dominguez, Iancu, Mehtar-Tani’ 12Mehta-Tani,Salgado,Tywoniuk’10
Talks by: Iancu, Salgado, ,Mehtar-Tani , Apolinario, Tywoniuk ,Wu
![Page 25: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/25.jpg)
25
Factorization at twist-4
T-4 LO
T-4 NLOFinite contribution from asymmetric-cut diagrams
Transverse momentum square weighted cross section
![Page 26: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/26.jpg)
26
Evolution equation for T4 - NEW
soft-soft hard-hard & soft-hard & hard-soft
When , there is no phase space for the gluon radiation from the initial gluon.
![Page 27: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/27.jpg)
Linear Boltzmann jet transport
Li, Liu, Ma, XNW and Zhu, PRL 106 ( 2010 ) 012301XNW and Zhu, PRL 111 (2013) 062301
2 23( )42D sT
Induced radiation
![Page 28: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/28.jpg)
28
Jet-induced medium excitation
Jet propagation in a uniform medium
![Page 29: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/29.jpg)
29
Broadening of jet transv. profile
R=0.3
![Page 30: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/30.jpg)
30
Broadening of g-hadron correlation
Li, Liu, Ma, XNW and Zhu, PRL 106 ( 2010 ) 012301Ma and XNW, PRL 106 (2011) 162301
g-hadron from AMPT calculationg-jet from LBT
Jet azimuthal angle broadening is smaller but still finite
![Page 31: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/31.jpg)
31
Running coupling in jet quenching
2013
![Page 32: 1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers](https://reader037.vdocuments.mx/reader037/viewer/2022110321/56649ce35503460f949af187/html5/thumbnails/32.jpg)
Jet transport coefficient
RHIC
from DIS
Deng & XNW PRC 81 (2010) 024902
Chen, Greiner, Wang, XNW, Xu, PRC 81 ( 2010 ) 064908