Jet Structure in Heavy Ion Collisions

We review recent theoretical developments in the study of the structure of jets that are produced in ultra relativistic heavy ion collisions. The core of the review focusses on the dynamics of the parton cascade that is induced by the interactions of a fast parton crossing a quark-gluon plasma. We recall the basic mechanisms responsible for medium induced radiation, underline the rapid disappearance of coherence effects, and the ensuing probabilistic nature of the medium induced cascade. We discuss how large radiative corrections modify the classical picture of the gluon cascade, and how these can be absorbed in a renormalization of the jet quenching parameter $\hat q $. Then, we analyze the (wave)-turbulent transport of energy along the medium induced cascade, and point out the main characteristics of the angular structure of such a cascade. Finally, color decoherence of the in-cone jet structure is discussed. Modest contact with phenomenology is presented towards the end of the review.

[1]  P. Jacobs,et al.  Comparison of jet quenching formalisms for a quark-gluon plasma ?brick? , 2011, 1106.1106.

[2]  Urs Achim Wiedemann,et al.  Picturing perturbative parton cascades in QCD matter , 2014, 1407.0293.

[3]  Jean-Paul Blaizot,et al.  Probabilistic picture for medium-induced jet evolution , 2013, 1311.5823.

[4]  C. Salgado,et al.  The radiation pattern of a QCD antenna in a dense medium , 2012, Journal of High Energy Physics.

[5]  E. Iancu,et al.  Medium-induced QCD cascade: democratic branching and wave turbulence. , 2013, Physical review letters.

[6]  A. Mueller.  On the multiplicity of hadrons in QCD jets , 1981 .

[7]  E. Glover,et al.  NNLO QCD corrections to jet production at hadron colliders from gluon scattering , 2013, 1310.3993.

[8]  G. Marchesini,et al.  Jet Multiplicity and Soft Gluon Factorization , 1982 .

[9]  E. Iancu,et al.  Deep inelastic scattering off a N=4 SYM plasma at strong coupling , 2007, 0710.5297.

[10]  A. Mueller,et al.  Radiative p ⊥ -broadening of high-energy quarks and gluons in QCD matter , 2013, 1304.7677.

[11]  Multiple parton scattering in nuclei: parton energy loss , 2001, hep-ph/0102230.

[12]  P. Chesler,et al.  Light quark energy loss in strongly coupled N=4 supersymmetric Yang-Mills plasma , 2008, 0810.1985.

[13]  T. Gousset,et al.  Retardation effect for collisional energy loss of hard partons produced in a QGP , 2005, hep-ph/0509185.

[14]  C. Salgado,et al.  Medium modification of jet shapes and jet multiplicities. , 2003, Physical review letters.

[15]  Y. Dokshitzer,et al.  Radiative energy loss and p⊥-broadening of high energy partons in nuclei , 1997 .

[16]  A. Majumder.  Calculating the jet quenching parameter q̄ in lattice gauge theory , 2012, 1202.5295.

[17]  Dominique Schiff,et al.  Quenching of hadron spectra in media , 2001 .

[18]  E. Iancu.  The non-linear evolution of jet quenching , 2014, 1403.1996.

[19]  E. Iancu,et al.  Interference effects in medium-induced gluon radiation , 2011, 1105.1760.

[20]  J. Stachel,et al.  A local Monte Carlo framework for coherent QCD parton energy loss , 2011, 1103.6252.

[21]  Bin Wu.  Radiative energy loss and radiative p⊥-broadening of high-energy partons in QCD matter , 2014, 1509.07483.

[22]  T. Spreitzer,et al.  Measurement of the jet radius and transverse momentum dependence of inclusive jet suppression in lead–lead collisions at √ s NN = 2 . 76 TeV with the ATLAS detector , 2012 .

[23]  K. Tywoniuk,et al.  Jet coherence in QCD media: the antenna radiation spectrum , 2011, 1105.1346.

[24]  Peter Arnold,et al.  Simple formula for high-energy gluon bremsstrahlung in a finite, expanding medium , 2008, 0808.2767.

[25]  M. Gyulassy,et al.  Reaction operator approach to non-abelian energy loss , 2000, nucl-th/0006010.

[26]  R M Buckingham,et al.  Measurements of the Nuclear Modification Factor for Jets in Pb+Pb Collisions at √(s)NN]=2.76  TeV with the ATLAS detector. , 2014, Physical review letters.

[27]  R. Snellings,et al.  Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions , 2013, 1301.2826.

[28]  Jean-Paul Blaizot,et al.  Medium-induced gluon branching , 2012, 1209.4585.

[29]  E. al.,et al.  Formation of dense partonic matter in relativistic nucleus–nucleus collisions at RHIC: Experimental evaluation by the PHENIX Collaboration , 2004, nucl-ex/0410003.

[30]  C. Salgado,et al.  Jets in QCD media: From color coherence to decoherence , 2011, 1102.4317.

[31]  Bruce Yabsley,et al.  Measurement of inclusive jet charged-particle fragmentation functions in Pb+Pb collisions at √sNN = 2.76 TeV with the ATLAS detector , 2014 .

[32]  Collisional energy loss in a finite size QCD matter , 2006, nucl-th/0603066.

[33]  G. Parisi,et al.  Asymptotic Freedom in Parton Language , 1977 .

[34]  Leading-particle suppression in high energy nucleus-nucleus collisions , 2004, hep-ph/0406201.

[35]  Quark gluon plasma and color glass condensate at RHIC? The Perspective from the BRAHMS experiment , 2005 .

[36]  A. M. Snigirev,et al.  Heavy ion event generator HYDJET++ (HYDrodynamics plus JETs) , 2008, Comput. Phys. Commun..

[37]  Laurence G. Yaffe,et al.  Photon and gluon emission in relativistic plasmas , 2002 .

[38]  V. Khoze,et al.  Basics of Perturbative QCD , 1991 .

[39]  G. Marchesini,et al.  Jet Structure and Infrared Sensitive Quantities in Perturbative QCD , 1983 .

[40]  V. Khoze,et al.  Hump-backed QCD plateau in hadron spectra , 1986 .

[41]  B. Webber,et al.  Monte Carlo simulation of general hard processes with coherent QCD radiation , 1988 .

[42]  Xin-Nian Wang,et al.  Multiple collisions and induced gluon Bremsstrahlung in QCD , 1994 .

[43]  S. Jeon,et al.  MARTINI event generator for heavy quarks: Initialization, parton evolution, and hadronization , 2012 .

[44]  I. Vitev,et al.  Angular distributions of higher order splitting functions in the vacuum and in dense QCD matter , 2013, 1304.3497.

[45]  Thoma,et al.  Energy loss of a heavy quark in the quark-gluon plasma. , 1991, Physical review. D, Particles and fields.

[46]  C. Salgado,et al.  Coherence phenomena between initial and final state radiation in a dense QCD medium , 2013, 1308.2186.

[47]  Guy D. Moore,et al.  Energy loss of leading partons in a thermal QCD medium , 2005 .

[48]  U. Wiedemann.  Jet Quenching in Heavy Ion Collisions , 2009, 0908.2306.

[49]  W. Marsden.  I and J , 2012 .

[50]  C. Salgado,et al.  Introductory lectures on jet quenching in heavy ion collisions , 2007, 0712.3443.

[51]  Sean A. Cantrell,et al.  Stopping distance for high energy jets in weakly coupled quark-gluon plasmas , 2009, 0912.3862.

[52]  A. Bocci,et al.  Measurement of the jet fragmentation function and transverse profile in proton-proton collisions at a center-of-mass energy of 7 TeV with the ATLAS detector , 2011, 1109.5816.

[53]  F. Siegert,et al.  Event generation with SHERPA 1.1 , 2008, 0811.4622.

[54]  C. Salgado,et al.  Medium-induced gluon radiation and colour decoherence beyond the soft approximation , 2014, 1407.0599.

[55]  Rudolf Baier,et al.  Induced gluon radiation in a QCD medium , 1995 .

[56]  Yu.L. Dokshitzer,et al.  Medium-induced radiative energy loss; equivalence between the BDMPS and Zakharov formalisms , 1998 .

[57]  Kevin Barraclough,et al.  I and i , 2001, BMJ : British Medical Journal.

[58]  F. Gelis,et al.  A Simple sum rule for the thermal gluon spectral function and applications , 2002, hep-ph/0204146.

[59]  C. Salgado,et al.  Calculating quenching weights , 2003, hep-ph/0302184.

[60]  C. Salgado,et al.  Interference between initial and final state radiation in a QCD medium , 2012, 1207.0984.

[61]  L. Landau,et al.  Electron cascade process at very high-energies , 1953 .

[62]  E. al.,et al.  Experimental and theoretical challenges in the search for the quark-gluon plasma: The STAR Collaboration's critical assessment of the evidence from RHIC collisions , 2005, nucl-ex/0501009.

[63]  Y. Mehtar-Tani,et al.  The Classical field created in early stages of high energy nucleus-nucleus collisions , 2008, 0806.1422.

[64]  B.G.Zakharov.  Fully quantum treatment of the Landau--Pomeranchuk--Migdal effect in QED and QCD , 1996, hep-ph/9607440.

[65]  Laurence G. Yaffe,et al.  Effective kinetic theory for high temperature gauge theories , 2003 .

[66]  C. Salgado,et al.  Medium induced gluon radiation off massive quarks fills the dead cone , 2003, hep-ph/0312106.

[67]  S. Jeon,et al.  MARTINI : An event generator for relativistic heavy-ion collisions , 2009, 0909.2037.

[68]  K. Eskola,et al.  The Fragility of High-pT Hadron Spectra as a Hard Probe , 2004, hep-ph/0406319.

[69]  Venugopalan,et al.  Gluon distribution functions for very large nuclei at small transverse momentum. , 1993, Physical review. D, Particles and fields.

[70]  A. Schäfer,et al.  Lattice study of the jet quenching parameter. , 2013, Physical review letters.

[71]  J. Stachel,et al.  Local Monte Carlo implementation of the non-Abelian Landau-Pomeranschuk-Migdal effect. , 2008, Physical review letters.

[72]  Aleksi Kurkela,et al.  Approach to equilibrium in weakly coupled non-Abelian plasmas. , 2014, Physical review letters.

[73]  A. Polosa,et al.  Jet shapes in opaque media , 2006, hep-ph/0607295.

[74]  Xin-Nian Wang,et al.  Next-to-leading order QCD factorization for semi-inclusive deep inelastic scattering at twist 4. , 2013, Physical review letters.

[75]  G. Moore,et al.  Next-to-leading order thermal photon production in a weakly coupled quark-gluon plasma , 2013, 1302.5970.

[76]  B. Müller,et al.  Extracting the jet transport coefficient from jet quenching in high-energy heavy-ion collisions , 2014 .

[77]  Perturbative QCD approach to multiparticle production , 1997, hep-ph/9701421.

[78]  E. Iancu,et al.  Running coupling effects in the evolution of jet quenching , 2014, 1405.3525.

[79]  M. Gyulassy,et al.  Elastic, inelastic, and path length fluctuations in jet tomography , 2005, nucl-th/0512076.

[80]  K. Tywoniuk,et al.  Jet physics in heavy-ion collisions , 2013, 1302.2579.

[81]  S. Mrenna,et al.  Pythia 6.3 physics and manual , 2003, hep-ph/0308153.

[82]  Dominique Schiff,et al.  'Bottom up' thermalization in heavy ion collisions , 2001 .

[83]  Urs Achim Wiedemann,et al.  Gluon radiation off hard quarks in a nuclear environment: opacity expansion , 2000, hep-ph/0005129.

[84]  Russian Federation.,et al.  Fully quantum treatment of the Landau-Pomeranchik-Migdal effect in QED and QCD , 1996 .

[85]  Xin-Nian Wang,et al.  Energy dependence of jet transport parameter and parton saturation in quark-gluon plasma , 2007, 0705.1352.

[86]  C. Salgado,et al.  Q-PYTHIA: a medium-modified implementation of final state radiation , 2009, 0907.1014.

[87]  Y. Mehtar-Tani.  Renormalization of the jet-quenching parameter , 2014, 1403.2323.

[88]  D. Teaney,et al.  Parton energy loss and momentum broadening at NLO in high temperature QCD plasmas , 2015, 1502.03730.

[89]  C. Salgado,et al.  Antiangular ordering of gluon radiation in QCD media. , 2010, Physical review letters.

[90]  S. Caron-Huot.  O(g) plasma effects in jet quenching , 2008, 0811.1603.

[91]  P. Romatschke,et al.  Viscosity information from relativistic nuclear collisions: how perfect is the fluid observed at RHIC? , 2007, Physical review letters.

[92]  M. Leeuwen,et al.  The Theory and Phenomenology of Perturbative QCD Based Jet Quenching , 2010, 1002.2206.

[93]  T. Renk.  YaJEM — A MONTE CARLO CODE FOR IN-MEDIUM SHOWER EVOLUTION , 2010, 1009.3740.

[94]  Venugopalan,et al.  Computing quark and gluon distribution functions for very large nuclei. , 1993, Physical review. D, Particles and fields.

[95]  C. Salgado,et al.  The radiation pattern of a QCD antenna in a dilute medium , 2011, Journal of High Energy Physics.

[96]  A. Majumder.  Incorporating Space-Time Within Medium-Modified Jet Event Generators , 2013, 1301.5323.

[97]  A. B. Migdal,et al.  Bremsstrahlung and pair production in condensed media at high-energies , 1956 .

[98]  V. M. Ghete,et al.  Measurement of jet fragmentation into charged particles in pp and PbPb collisions at \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \be , 2012, Journal of High Energy Physics.

[99]  M. Gyulassy,et al.  Gluon shadowing and jet quenching in A + A collisions at s**(1/2) = 200-GeV , 1992 .

[100]  B. G. Zakharov.  Radiative energy loss of high-energy quarks in finite-size nuclear matter and quark-gluon plasma , 1997 .

[101]  Serguei Chatrchyan,et al.  Observation and studies of jet quenching in PbPb collisions at {radical}(s{sub NN})=2.76 TeV , 2011 .

[102]  P. Cochat,et al.  Et al , 2008, Archives de pediatrie : organe officiel de la Societe francaise de pediatrie.

[103]  Bin Wu.  On p⊥-broadening of high energy partons associated with the LPM effect in a finite-volume QCD medium , 2011, 1102.0388.

[104]  Y. Dokshitzer,et al.  Radiative energy loss of high-energy quarks and gluons in a finite volume quark - gluon plasma , 1997 .

[105]  T. Renk.  Biased showers: A common conceptual framework for the interpretation of high-P T observables in heavy-ion collisions , 2012, 1212.0646.

[106]  C. Henderson,et al.  The PHOBOS Perspective on Discoveries at RHIC , 2005 .

[107]  C. Salgado,et al.  New picture of jet quenching dictated by color coherence , 2012, 1210.7765.

[108]  I. Vitev,et al.  Medium-induced parton splitting kernels from Soft Collinear Effective Theory with Glauber gluons , 2011, 1109.5619.

[109]  A. Mueller,et al.  p⊥-Broadening and production processes versus dipole/quadrupole amplitudes at next-to-leading order , 2012, 1206.1333.