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This paper explores the parton energy loss in cold nuclei and its implications on jet quenching in AA collisions. It discusses multiple scattering as a tool for hard probes and investigates the quark distribution in collinear factorized pQCD parton models. The study also examines higher twist contributions in multiple scattering and scaling violation through DGLAP evolution. Additionally, it analyzes annihilation-like processes, Compton-like processes, LPM interference, and medium-modified projectile PDFs. The effects of nuclear shadowing and energy loss in Drell-Yan processes and jet quenching in the hadronic phase of QGP are also discussed.
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Hard Probes 2012 Cagliari, May 27 – June 1, 2012 Parton energy loss in cold nuclei and implications on jet quenching in AA collisions Hongxi Xing & Xin-Nian Wang CCNU & LBNL
Multiple Interaction in QCD Multiple Interaction in QCD: A way of life Everywhere, all the time, indispensable Hard probes employ multiple scattering as a tool
Deeply Inelastic Scattering k=xp p Quark distribution in collinear factorized pQCD parton model: quarks carrying momentum fraction x of the nucleon (nucleus)
Leading-twist partondistribution in DIS .... k p Belitsky, Ji and Yuan (2002)
Higher Twist Contributions in Multiple Scattering .... k p Jet Transport Liang, XNW & Zhou (2008)
Parton energy loss in cold nuclear matter DIS of large nuclei DY production in pA
Leading Twist Drell-Yan Factorization: Separation of short- from long-distance NLO partonic diagram to PDF, LO + NLO collinear part Scaling violation – DGLAP evolution
Annihilation-like processes (q+gq) • Double scattering: … • Single-triple interference: …
Compton-like processes (g+gq) • Double scattering: … • Single-triple interference: …
LPM interference in DY • Final result for particular example Hard-Hard Soft-Hard 10
Medium modified projectile PDF • Modified quark distribution - Vacuum + Medium Modified splitting function • Modified DGLAP evolution
“factorized” gluon-quark correlation function • Jet transport parameter 12
Modified fragmentation function in DIS Guo, XNW 2000
DIS of large nuclei Deng & XNW (2010)
Nuclear effects in Drell-Yan Energy loss VS. Shadowing (FNAL-E866 ELab = 800 GeV) 15
Parton energy loss in Drell-Yan Energy loss VS. Shadowing (FNAL-E906 ELab = 120 GeV) FNAL-E906 provide unambiguous measurement of initial state energy loss 16
Jet quenching in hadronic phase of QGP Chen, Greiner, Wang, XNW, Xu (2010) 30% quenching from hadronic phase
Summary W. Deng, CNM effect in pA at LHC, Thursday Parallel VC (T1C) • Multiple scattering in eA and Drell-Yan in pA important • eA modified fragmentation function • DY in pA modified beam PDF • qhat in cold nuclear matter 0.02 GeV^2/fm • Parton energy loss during hadronic phase in AA collisions is non-negligible
Modified DGLAP Equations Modified splitting functions