Radiative energy loss of high energy quarks and gluons in a finite volume quark-gluon plasma

Abstract

The medium induced energy loss spectrum of a high energy quark or gluon traversing a hot QCD medium of finite volume is studied. We model the interaction by a simple picture of static scattering centres. The total induced energy loss is found to grow as $L^2$, where $L$ is the extent of the medium. The solution of the energy loss problem is reduced to the solution of a Schrödinger-like equation whose ``potential'' is given by the single-scattering cross section of the high energy parton in the medium. These resuls should be directly applicable to a quark-gluon plasma.

29 pages, LaTeX2e, 43 figures

References in corpus (3)

• Multiple Collisions and Induced Gluon Bremsstrahlung in QCD
• Induced Gluon Radiation in a QCD Medium
• The Landau-Pomeranchuk-Migdal effect in QED

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• Minijet quenching in non-equilibrium quark-gluon plasma
• Nonlinear dynamics of soft fermion excitations in hot QCD plasma III: Soft-quark bremsstrahlung and energy losses
• Large-$p_T$ Inclusive ${\pi }^0$ Production in Heavy-Ion Collisions at RHIC and LHC
• Parton energy loss in glasma
• On the breaking of Casimir scaling in jet quenching
• Hard QCD. Plenary talk at the Quark Matter -97 Conference, December 1997, Tsukuba, Japan
• Particle-species dependent modification of jet-induced correlations in Au+Au collisions at sqrt(s_NN) = 200 GeV
• Probing the in-medium $P_T$-broadening by $\gamma$+HF angular de-correlations
• Dynamical vs geometric anisotropy in relativistic heavy-ion collisions: which one prevails?
• Leading order, next-to-leading order, and non-perturbative parton collision kernels: effects in static and evolving media
• Parton Energy Loss and the Generalized Jet Transport Coefficient
• Quenching of light hadron spectra in pA collisions from fully coherent energy loss
• Exploring the properties of the phases of QCD matter - research opportunities and priorities for the next decade
• Parton cascade and coalescence
• Elliptic flow as a probe for $\psi (2S)$ production mechanism in relativistic heavy ion collisions
• Strong- vs. weak-coupling pictures of jet quenching: a dry run using QED
• Charmed meson and charmonium production in PbPb collisions at the LHC
• Measurement of D${}^{+}$ meson production in p-Pb collisions with the ALICE detector
• Collisional jet quenching becomes probable
• Parton Energy Loss in Strongly Coupled AdS/CFT
• A Study of Parton Energy Loss in Au+Au Collisions at RHIC using Transport Theory
• Study of charged particle production at high $p_{\mathrm{T}}$ using event topology in pp, p$-$Pb and Pb$-$Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Jet quenching with $T$-dependent running coupling
• Soft gluon self-energy at finite temperature and density: hard NLO corrections in general covariant gauge
• Scaling patterns of the suppression of ${\pi }^0$ yields in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV: links to the transport properties of the QGP
• $\eta /s-\hat{q}/T^3$ Relation at Next-to-Leading Order in QCD
• QCD Evolution of Jets in the Quark-Gluon Plasma
• QGP Theory: Status and Perspectives
• Di-hadron correlations at ISR and RHIC energies
• Wilson line correlators beyond the large-$N_c$
• Nonlinear dynamics of soft boson collective excitations in hot QCD plasma II: plasmon -- hard-particle scattering and energy losses
• Parton energy loss in a classical strongly coupled QGP
• Multi-particle potentials from light-like Wilson lines in quark-gluon plasmas: a generalized relation of in-medium splitting rates to jet-quenching parameters $\hat{q}$
• Description of the CERN SPS data on the Landau-Pomeranchuk-Migdal effect for photon bremsstrahlung in quantum regime
• Spacetime development of in-medium hadronization: Scenario for leading hadrons
• Event-by-event fluctuations in the medium-induced jet evolution
• Evaluating Results from the Relativistic Heavy Ion Collider with Perturbative QCD and Hydrodynamics
• Heavy-flavor observables at RHIC and LHC
• Medium-Induced Transverse Momentum Broadening via Forward Dijet Correlations
• Rescattering Effects in Quarkonium Production
• Thermalization of gluons in spatially homogeneous systems
• Multiple parton interactions in high-density QCD matter
• Energy loss as the origin of an universal scaling law of the elliptic flow
• Thermalization of mini-jets in a quark-gluon plasma
• Jet Evolution in the Quark-Gluon Plasma from RHIC to the LHC
• Unraveling Gluon Jet Quenching through $J/\psi$ Production in Heavy-Ion Collisions
• Empirical Constraints on Parton Energy Loss in Nucleus-Nucleus Collisions at RHIC
• The LPM Effect in sequential bremsstrahlung: $1/N_c^2$ corrections
• Probing the Frontiers of QCD
• Inconsistencies in, and short pathlength correction to, $R_{AA}(p_T)$ in $\mathrm{A}+\mathrm{A}$ and $\mathrm{p}+\mathrm{A}$ collisions
• Nuclear geometry effect and transport coefficient in semi-inclusive lepton-production of hadrons off nuclei
• Higher-order corrections to heavy-quark jet quenching
• Energy Loss of a Heavy Quark Produced in a Finite Size Medium
• Heavy-flavor azimuthal correlations of D mesons
• Electromagnetic Emission and Energy Loss in the QGP
• Thermal photons and dileptons
• Jet quenching and effects of non-Gaussian transverse-momentum broadening on di-jet observables
• Heavy-Ion Physics with ALICE
• Color coherence in a heavy quark antenna radiating gluons inside a QCD medium
• Systematic Comparison of Jet Energy-Loss Schemes in a 3D hydrodynamic medium
• Implementing the LPM effect in a parton cascade model
• QCD motivated approach to soft interactions at high energies: nucleus-nucleus and hadron-nucleus collisions
• Medium effects for hadron-tagged jets in proton-proton collisions
• Centrality and Transverse Momentum Dependencies of Minijets and Hadrons in Au-Au Collisions
• Holographic computation of Wilson loops in a background with broken conformal invariance and finite chemical potential
• The Quark Gluon Plasma: lattice computations put to experimental test
• Updated analysis of jet quenching at RHIC and LHC within the light cone path integral approach
• Prompt photon in association with a heavy-quark jet in Pb-Pb collisions at the LHC
• Parton Energy Loss at Twist-Six in Deeply Inelastic e-A Scattering
• Nuclear $p_{\perp }$-broadening of an energetic parton pair
• Synchrotron contribution to photon emission from quark-gluon plasma
• Nonlinear dynamics of soft boson collective excitations in hot QCD plasma III: bremsstrahlung and energy losses
• Determining the BDMPS transport coefficient via medium-modified fragmentation functions
• Jet Transport Coefficient at the Large Hadron Collider Energies in a Color String Percolation Approach
• Empirical determination of charm quark energy loss and its consequences for azimuthal anisotropy
• Jet Quenching in Heavy-Ion Collisions - The Transition Era from RHIC to LHC
• Di-jet asymmetry and wave turbulence
• Jet evolution in a dense QCD medium
• Qualitative and Quantitative Energy Loss?
• Measurement of electrons from heavy-flavour hadron decays as a function of multiplicity in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Dynamics of heavy flavour in a weakly magnetized hot QCD medium
• Equation of state dependence of Mach cone like structures in Au+Au collisions
• Modification of jet-like correlations in Pb-Au collisions at 158A GeV/c
• A Short Review on Jet Identification
• Landau-Pomeranchuck-Migdal effect in a quark-gluon plasma and the Boltzmann equation
• Rethinking the QCD collisional energy loss
• Evolution of mechanism of parton energy loss with transverse momentum at RHIC and LHC in relativistic collision of heavy nuclei
• Transverse momentum broadening of medium-induced cascades in expanding media
• Quenching of photon and pion spectra at intermediate RHIC energy
• Medium-induced gluon emission via transverse and longitudinal scattering in dense nuclear matter
• Heavy Quark Energy Loss in the Quark-Gluon Plasma in the Moller theory
• Jet energy loss in heavy ion collisions from RHIC to LHC energies
• Drell-Yan process in $pA$ collisions: the exact treatment of coherence effects
• Anisotropic Flow and Jet Quenching in Relativistic Nuclear Collisions
• Medium-enhanced $c\bar{c}$ radiation
• The LPM effect in sequential bremsstrahlung: incorporation of "instantaneous'' interactions for QCD
• Jet suppression in non-conformal plasma using AdS/CFT
• Radiative quark $p_T$-broadening in a quark-gluon plasma beyond the soft gluon approximation
• Jet Quenching: the medium modification of the single and double fragmentation functions
• Towards tomography of quark-gluon plasma using double inclusive forward-central jets in Pb-Pb collision
• Understanding the QCD medium by the diffusion of charm quarks using a Color String Percolation Model
• Inclusive heavy-flavour production at central and forward rapidity in Xe-Xe collisions at $\sqrt{s_{\mathrm{NN}}}=5.44$ TeV
• In-medium effects on electromagnetic probes
• Rescattering effects in hadron-nucleus and heavy-ion collisions
• A lattice test of strong coupling behaviour in QCD at finite temperature
• Classical Strongly Coupled QGP: VII. Energy Loss
• High temperature behavior of non-local observables in boosted strongly coupled plasma: A holographic study
• Transport Theoretical Description of Collisional Energy Loss in Infinite Quark-Gluon Matter
• Energy loss of a heavy fermion in a collisional QED plasma
• Jet substructure observables for jet quenching in Quark Gluon Plasma: a Machine Learning driven analysis
• Energy Correlators Beyond Angles
• Radiative $p_{\perp }$-broadening of fast partons in an expanding quark-gluon plasma
• Jet modification in the next decade: a pedestrian outlook
• Heavy Quark Radiation in the Quark-Gluon Plasma in the Moliere Theory: Angular Distribution of the Radiation
• Open quantum system approach for heavy quark thermalization
• System size dependence of nuclear modification and azimuthal anisotropy of jet quenching
• Heavy quark diffusion and radiation at intermediate momentum
• Jet Quenching in Evolving QGP Medium
• Flavor and path-length dependence of jet quenching from inclusive jet and γ-jet suppression
• Search for quasi-particle scattering in the quark-gluon plasma with jet splittings in pp and Pb$-$Pb collisions at $\sqrt{{\text{s}}_{\mathrm{NN}}}=5.02$ TeV
• QGP and Modified Jet Fragmentation
• Effects of hyperscaling violation and dynamical exponents on heavy quark potential and jet quenching parameter
• Important experimental observables at RHIC
• Investigating jet quenching on the lattice
• Jet quenching from the lattice
• Theory of Jet Quenching in Ultra-Relativistic Nuclear Collisions
• Dependence of energy loss of jets on the initial thermodynamic state of deconfined matter at RHIC
• A Systematic Study on Direct Photon Production from Central Heavy Ion Collisions
• Heavy-quark energy loss in pQCD and SYM plasmas
• Memory effects in radiative jet energy loss
• Collisional Energy Loss of a Fast Parton in a QGP
• Charmonium suppression in p-A collisions at RHIC
• Transverse momentum spectra and suppression of charged hadrons in deformed Xe-Xe collisions at $\sqrt{s_{NN}}$ = 5.44 TeV using HYDJET++ model
• Probing Jet Medium Interactions via $Z$($H$)+jet Momentum Imbalances
• QCD antenna radiative spectrum in dense media within the Improved Opacity Expansion
• Photon bremsstrahlung from quark jet via transverse and longitudinal scatterings: single versus multiple scatterings
• Parton energy loss at strong coupling and the universal bound
• Nonlocal wave turbulence in non-Abelian plasmas
• Jet Quenching in Holographic QCD as an Indicator of Phase Transitions in Anisotropic Regimes
• Relaxation time approximation revisited and non-analytical structure in retarded correlators
• Jet Tomography in the Forward Direction at RHIC
• Jet quenching and direct photon production
• Phenomenology of collinear photon emission from quark-gluon plasma in $AA$ collisions
• D meson production in d+Au process using a perturbative approach
• In-medium gluon radiation spectrum with all-order resummation of multiple scatterings in longitudinally evolving media
• Holographic drag force in non-conformal plasma
• Strangeness, Charm and Beauty in Quark Matter: SQM 2007 Experimental Overview
• Medium-induced jet evolution: wave turbulence and energy loss
• Jet-dilepton conversion in expanding quark-gluon plasma
• D mesons in non-central heavy-ion collisions: fluctuating vs. averaged initial conditions
• Radiative energy loss reduction in an absorptive plasma
• Non-perturbative collisional energy loss of heavy quarks in quark-gluon plasma
• Relativistic Nucleus-Nucleus Collisions and the QCD Matter Phase Diagram
• Jet quenching in out-of-equilibrium QCD matter
• On the Nuclear Modification Factor at RHIC and LHC
• Characterization of Jets in Relativistic Heavy Ion Collisions
• High-P_T Physics with Identified Particles
• Studying the energy loss of heavy quarks via single muon production in PbPb collisions at $\sqrt{s_{\mathrm{NN}}}$=5.5 TeV
• Theoretical Developments in QCD Jet Energy Loss
• Understanding partonic energy loss from measured light charged particles and jets in PbPb collisions at LHC energies
• Modification of charged-particle jets in event-shape engineered Pb$-$Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Multi-particle correlations and KNO scaling in the medium-induced jet evolution
• Energy loss of heavy quarkonia in hot QCD plasmas
• Nuclear suppression in p-A collisions from induced radiation
• Jet quenching parameter \hat q in the stochastic QCD vacuum with Landau damping
• Medium-modification of photon-tagged jets in $AA$ collisions
• Bjorken variable and scale dependence of quark transport coefficient in semi-inclusive lepton-production of hadron off nuclei
• Hard and soft probe - medium interactions in a 3D hydro+micro approach at RHIC
• Correlations in the Parton Recombination Model
• Collisional and radiative energy loss in small systems
• The medium modification of high-virtuality partons
• Coherent gluon radiation: beyond leading-log accuracy
• Considerations on the suppression of charged particles and ${\pi }^0$ in high energy heavy ion collisions
• Nuclear transverse momentum imbalance in the color dipole approach at the LHC regime
• Non-perturbative phenomena in jet modification
• Normal mode analysis within a mutilated relaxation time approximation
• Nuclear effects on jet substructure observables at the LHC
• Transverse spin polarization as a novel probe of medium-induced transverse-momentum-broadening effect
• Jet physics in ALICE
• Coulomb Corrections to the Parameters of the Landau-Pomeranchuk-Migdal Effect Theory and its Analogue
• Tools for RHIC: Review of Models
• Hard Probes: After the dust has settled!
• Jet transport coefficients by elastic and radiative scatterings in the strongly interacting quark-gluon plasma
• Back reaction effects on the dynamics of heavy probes in heavy quark cloud
• Bjorken variable and scale dependence of quark transport coefficient in Drell-Yan process for proton incident on nucleus
• How do quarks and gluons lose energy in the QGP?
• Suppression of the jet quenching parameter near the critical temperature
• Open-charm measurements in pp and Pb-Pb collisions at central rapidity with ALICE
• Effective Field Theory and Lattice QCD approaches for hard probes in QCD matter
• Jet quenching in mini-quark-gluon plasma: Medium modification factor $I_{pA}$ for photon-tagged jets
• A random walk with heavy flavours
• Hard gluon evolution in warming medium
• Jet quenching for heavy flavors in $AA$ and $pp$ collisions
• An improved linear Boltzmann transport model for hadron and jet suppression in ultrarelativistic heavy-ion collisions
• Effects of Multiple Scattering in Cold Nuclear Matter on J/psi Suppression and <p_T^2> in Heavy Ion Collisions
• Predictions for photon-jet correlations at forward rapidities in heavy-ion collisions
• Thermal and non-thermal charmed meson production in heavy ions collisions at the LHC
• Atomic mass, Bjorken variable and scale dependence of quark transport coefficient in Drell-Yan process for proton incident on nucleus
• Elliptic flow of electrons from beauty-hadron decays extracted from Pb--Pb collision data at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Transport properties of the QCD medium
• High energy scattering and emission in QED&QCD media
• Radiative parton energy loss and baryon stopping in $AA$ collisions
• How many interactions does it take to modify a jet?
• Hard gluon evolution in the last stage of the bottom-up thermalization
• Advancing QCD-based calculations of energy loss
• What are we learning from RHIC?
• The "Perfect" Fluid Quenches Jets Almost Perfectly
• Medium Modification of the Jet Properties
• Quantifying the Jet Energy Loss in Pb+Pb collisions at LHC
• The effect of recoils on soft-drop-groomed observables in $\gamma$-tagged jets in a multistage approach
• Comparing energy loss phenomenology
• Classical scattering matrix for hard and soft Bose-excitations in a non-Abelian plasma within the Hamiltonian formalism
• Energy Loss of a Heavy Quark in a Collisional Quark-Gluon Plasma
• System-size dependence of $\gamma$-jet modifications in heavy-ion collisions
• Are Parton Showers in a Quark-Gluon Plasma Strongly Coupled? A Theorist's Test
• Large transverse momentum suppression at RHIC: Shadowing and absorption
• Jet energy loss due to multiple scattering in the nucleus
• Parton saturation at strong coupling from AdS/CFT
• A modular perspective to the jet suppression from a small to large radius in very high transverse momentum jets
• Partonic transport model application to heavy flavor
• A new pQCD based Monte Carlo event generator for jets in the quark-gluon plasma
• Towards an extraction of $\hat{q}$ with an uncertainty controlled energy loss Monte-Carlo
• Medium-modifications of $g\to c\bar{c}$ splitting
• Remarks on the possible importance of jet v_3 and multiple jet production for the interpretation of recent jet quenching measurements at the LHC
• Particle production as a function of underlying-event activity and search for jet-like modifications in pp, p-Pb, and Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV with ALICE
• Universality aspects of quantum corrections to transverse momentum broadening in QCD media
• Event-by-event picture for the medium-induced jet evolution
• Studying the QGP with Jets at the LHC and RHIC
• Anomalous diffusion in QCD matter
• In-medium parton branching beyond eikonal approximation
• Impact of gluon damping on heavy-quark quenching
• Landau Pomeranchuk Midgal Effect and Charm Production in $pp$ Collisions at Large Hadron Collider Energies using the Parton Cascade Model
• On the use of running ${\alpha }_s$ in calculations of radiative energy loss of fast partons in a quark-gluon plasma
• Soft interactions in jet quenching
• Kinetic equation for gluons at the early stage
• Flow coefficients in O-O Al-Al and Cu-Cu collisions at 200 GeV in the fusing color string model
• On angular ordering in medium-induced radiation
• The dijet mass distribution in heavy ion collisions
• Implementing Unitarity in Perturbation Theory
• How hadron collider experiments contributed to the development of QCD: from hard-scattering to the perfect liquid
• Spectra and elliptic flow of charmed hadrons in HYDJET++ model
• Away-side distribution in a parton multiple scattering model and background-suppressed measures
• Event activity-dependence of jet production in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV measured with semi-inclusive hadron+jet correlations by ALICE
• Where Does the Energy Loss Lose Strength?
• Photon production in Pb+Pb collisions at $\sqrt{s_{NN}}$=2.76 TeV
• Adding vacuum branching to jet evolution in a dense medium
• Dileptons, Charm and Bottom in Relativistic Heavy-Ion Collisions
• A unified description of initial and final state interactions in heavy ion collisions
• Recent progress on the understanding of the medium-induced jet evolution and energy loss in pQCD