1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers.

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Presentation transcript:

1 Xin-Nian Wang Central China Normal University / Lawrence Berkeley National Lab Jet transport coefficients in heavy-ion collisions Symposium on New Frontiers in QCD 2013

Properties of QGP Space-time profile: EOS: EM response: Bulk transport: Jet transport: … 2

Probes of QGP in A+A Collisions  Hard probes: medium response to hard scattering Jet quenching:  EM Probes: Medium response to EM interaction  prod., J/  suppression:  Soft probes: Bulk properties of medium collective flow:

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

Transverse momentum broadening ( BDMPS’96) Random talk or two-gluon correlation approximation:

pt broadening in cold nuclei 6 e+A  hadrons + X p+A  l +l-, J/  + X

Azimuthal asymmetry 7 Liang & XNW (2007) Gao, Liang & XNW (2010) Song, Gao Liang & XNW (2011), (2013)

Jet transport in thermal QCD medium 8 LO pQCD (with HTL) NLO pQCD (with HTL) Caron-Huot 2008 LO Gelis, Blaizot & Baym 2007

Non-perturbative contribution to qhat 9 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 k T Panero, Rummukainen & Schaefer (2013) D’Eramo, et al (2012) Analytic continuation: Majumder (2012)

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’03 High-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

11 qhat from DIS of large nuclei Deng & XNW ( 2010) Single hadron dihadron Majumder, Wang, XNW (2007) e-e-

Jet Quenching at RHIC & LHC Pedestal&flow subtracted STAR Preliminary

Hard and soft probes 13 Pb-Pb pp reference soft probeshard probes

Jet quenching phenomenology D 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, v n, 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)

Jet quenching phenomenology 15 McGill-AMY HT-M HT-BW

Jet transport coefficient JET Collaboration (preliminary) Future: dihadron, gamma-hadron, flavor dependence, jet observables preliminary

Effect of recoils and jet broadening 17 XNW and Zhu (2013) Li, Liu, Ma, XNW and Zhu （ 2010 ） Ma and XNW (2011)

Medium mod. of frag function 18 Energy of reconstructed jet dominated by leading particle Suppression of fragmentation functions relative to initial energy XNW and Zhu, PRL 111(2013) Seen in CMS & ATLAS single jets XNW, Huang & Sarcevic (1996)

NLO and factorization Uncertainty in scale dependence of collinear LO results Medium properties & hard scattering factorizable? 19 Complete cancellation of soft-collinear divergence Complete factorization of the collinear divergence Kang, Wang, XNW, Xing (2013) arXiv: diagrams

Gluon saturation in QGP 20 DGLAP Gluon saturation DGLAP evolution in linearized regime Casalderrey-Salana, & XNW ’ 07

Summary 21 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

22

Backup 23

Multiple gluon emissions 24 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/  f Blaizot, Dominguez, Iancu, Mehtar-Tani’ 12 Mehta-Tani,Salgado,Tywoniuk’10 Talks by: Iancu, Salgado,,Mehtar-Tani, Apolinário, Tywoniuk,Wu

25 Factorization at twist-4 T-4 LO T-4 NLO Finite contribution from asymmetric-cut diagrams  Transverse momentum square weighted cross section

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.

Linear Boltzmann jet transport Li, Liu, Ma, XNW and Zhu, PRL 106 （ 2010 ） XNW and Zhu, PRL 111 (2013) Induced radiation

28 Jet-induced medium excitation Jet propagation in a uniform medium

Broadening of jet transv. profile 29 R=0.3

Broadening of  -hadron correlation 30 Li, Liu, Ma, XNW and Zhu, PRL 106 （ 2010 ） Ma and XNW, PRL 106 (2011)  -hadron from AMPT calculation  -jet from LBT Jet azimuthal angle broadening is smaller but still finite

Running coupling in jet quenching

Jet transport coefficient RHIC from DIS Deng & XNW PRC 81 (2010) Chen, Greiner, Wang, XNW, Xu, PRC 81 （ 2010 ）