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2 nd Workshop on “ Jet modification in RHIC and LHC era ”

2 nd Workshop on “ Jet modification in RHIC and LHC era ”. Wayne State University, Aug. 20 - 22, 2013. High-twist approach to jet quenching. Xin-Nian Wang Central China Normal University / Lawrence Berkeley Lab. High-twist approach to multiple scattering. e -.

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2 nd Workshop on “ Jet modification in RHIC and LHC era ”

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  1. 2nd Workshop on “Jet modification in RHIC and LHC era” Wayne State University, Aug. 20-22, 2013 High-twist approach to jet quenching Xin-Nian Wang Central China Normal University / Lawrence Berkeley Lab

  2. High-twist approach to multiple scattering e- Loosely bound nucleus (p+, q- >> binding energy)

  3. Twist-expansion and gauge Invariance k One should also consider Final matrix elements should contain: p Expansion in kT TMD factorization

  4. Collinear Expansion Collinear expansion:

  5. Collinear Expansion (cont’d) xp q xp x1p ‘Twist-3’ unintegrated quark distribution Liang & XNW’06 q ‘Twist-2’ unintegrated quark distribution

  6. TMD (unintegrated) quark distribution Twist-two integrated quark distribution + Contribute to azimuthal and single spin asymmetry

  7. LO DIS cross section up to twist-4 Liang & XNW (2007) Gao, Liang & XNW (2010) Song, Gao Liang & XNW (2011), (2013) Azimuthal asymmetry:

  8. TMD (unintegrated) quark distribution y 0 Longitudinal gauge link Transverse gauge link Belitsky, Ji & Yuan’2003

  9. Transport Operator Transport operator Color Lorentz force: All info in terms of collinear quark-gluon matrix elements Liang, XNW & Zhou’08 Taylor expansion

  10. Momentum Broadening Liang, XNW & Zhou’08 Majumder & Muller’07 Kovner & Wiedemann’01 BDMPS’96 2-gluon correlation approximation Jet transport parameter

  11. PT Broadening Nuclear dependence of <cosf> 1

  12. DIS of large nuclei Deng & XNW (2010)

  13. Drell-Yan in pA Collisions Xing & XNW, NPA 879 (2012)77

  14. Di-hadron fragmentation function h1 h2 jet Majumder & XNW’04

  15. DGLAP for Dihadron Fragmentation h1 h1 h2 h2 h1 h2

  16. Medium Modified Dihadron Triggering h1 D(z1,z2)/D(z1)

  17. Jet quenching at LHC Muller, Schukfrat & Wyslouch 2012 Majumder 2012

  18. Elastic versus radiativee-loss Majumder 2008 Qin and Majumder 2010 Gyulassy Wicks, etc

  19. Dijet and gamma-jet asymmetry Qin and Muller (2011); Qin arXiv:1210.6610

  20. MC simulation of jet transport Numerical simulation of mDGLAP equations: Use the radiative Kernel in the Sudakov form factor and parton splitting Majumder 2013

  21. Interplay between hard and soft probes Pb-Pb pp reference soft probes hard probes

  22. Linear Boltzmann jet transport Induced radiation Li, Liu, Ma, XNW and Zhu, PRL 106 （2010） 012301 XNW and Zhu, PRL 111 (2013) 062301

  23. Jet-induced medium excitation Jet propagation in a uniform medium

  24. g-jets in an expanding medium Similar results by Dai, Vitev and Zhang, PRL 110 (2013) 032302 XNW and Zhu, PRL 111 (2013) 062301

  25. Broadening of jet transv. profile R=0.3

  26. Medium mod. of frag function Seen in CMS & ATLAS single jets XNW and Zhu, PRL 111(2013)062301 XNW, Huang & Sarcevic(1996) Energy of reconstructed jet dominated by leading particle Suppression of fragmentation functions relative to initial energy

  27. Broadening of g-hadron correlation g-hadron from AMPT calculation g-jet from LBT Jet azimuthal angle broadening is smaller but still finite Li, Liu, Ma, XNW and Zhu, PRL 106 （2010） 012301 Ma and XNW, PRL 106 (2011) 162301

  28. Future perspective: extracting qhat Chen, Greiner, Wang, XNW, Xu, PRC 81（2010）064908 RHIC from DIS Deng & XNW PRC 81 (2010) 024902

  29. Future perspective: NLO See talk by Hongxi Xing on Thuyrsday @ NLO meeting SIDIS DY DGLAP Eq. for Twist-4 correlation function:

  30. MC approach to jet medium interaction 3+1D hydro + Jet transport + Hadronization Berkeley-Wuhan Hybrid MC 3+1D hydro + Linear Boltzmann Jet Transport Jet-induced medium excitation & anisotropic flow Jet quenching in an anisotropic/expanding medum

  31. Hydro description of A+A Collisions • Hydrodynamic: • a low-momentum effective theory • Inputs from first principle QCD (lattice QCD)EoSp(e), transport coefficients x(T), z(T) (??) • Initial condition: parton prod. & thermalization

  32. Initial conditions for hydro 2D fluctuating geometry: MC- Glauber, MC-KLN 2D fluctuating geometry + QM: IP-Glasma 3D fluctuating geometry +QM: HIJING, AMPT, NeXus, UrQMD (3+1)D ideal hydro with AMPT initial condition y h x x

  33. Effects of tran. & long. fluctuations Pang , Wang and XNW PRC 81 (2012) 031903 No fluct Trans. only Full fluct

  34. Anisotropic flow & relics of minijets Pang, Wang & XNW 2013 (preliminary)

  35. Anisotropic flow & relics of minijets Pang, Wang & XNW 2013 (preliminary)

  36. Summary Hard probes and anisotropic flows provide unprecedented constraints on the transport properties of the sQGP in A+A Future: mapping out T-dependence at RHIC & LHC RHIC Bluhm, Kampfer & Redlich 2010 AdS/CFT from DIS Majumder, Muller & XNW 2007

  37. Jet Quenching phenomena at RHIC Zhang, Owns, Wang, XNW, PRL 98 (2007) 212301 Zhang, Owns, Wang, XNW, PRL 103 (2009) 032302

  38. Hydro dynamics of dense matter cS EOS of QGP

  39. QGP in p+p & p+A collisions? p+p @ 7 TeV Collective flow in high multiplicity events of p+p & pA? But no jet quenching! Werner et al ‘12, Bozek & Broniowski’13 Maybe from initial state: glasma? Venugapalan & Dusling et al, ‘12 But large values of v3! See talks by Roland (G1)

  40. Transport properties of QCD matter Arnold, Moore & Yaffe 2003 pion gas Prakash’93 Bluhm, Kampfer & Redlich2010 AdS/CFT Lattice QCD: Nakamura & Sakai 2005; Meyer 2007

  41. Viscosity of QGP in A+A collisions Heinz & Song 2010 Gale, Jeon, Schenke, Tribedy & Venugopalan 2013 Fluctuation + viscous hydro required to fit all vn Viscosity at LHC is larger than at RHIC See talk by Schenke ( Wednesday, IUPAP prize)

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