Heavy Quark Diffusion with Relativistic Langevin Dynamics in the Quark-Gluon Fluid

Abstract

The relativistic diffusion process of heavy quarks is formulated on the basis of the relativistic Langevin equation in Itô discretization scheme. The drag force inside the quark-gluon plasma (QGP) is parametrized according to the formula for the strongly coupled plasma obtained by the AdS/CFT correspondence. The diffusion dynamics of charm and bottom quarks in QGP is described by combining the Langevin simulation under the background matter described by the relativistic hydrodynamics. Theoretical calculations of the nuclear modification factor R_{AA} and the elliptic flow v_{2} for the single electrons from the charm and bottom decays are compared with the experimental data from the relativistic heavy ion collisions. The R_{AA} for electrons with large transverse momentum (p_{T} > 3 GeV) indicates that the drag force from the QGP is as strong as the AdS/CFT prediction.

13 pages, 10 figures

References in corpus (32)

• PYTHIA 6.4 Physics and Manual
• PYTHIA 6.2 Physics and Manual
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• How Much do Heavy Quarks Thermalize in a Heavy Ion Collision?
• Drag force in AdS/CFT
• Energy Loss and Flow of Heavy Quarks in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Collective flow and two-pion correlations from a relativistic hydrodynamic model with early chemical freeze out
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• QCD Predictions for Charm and Bottom Production at RHIC
• Hadronic dissipative effects on elliptic flow in ultrarelativistic heavy-ion collisions
• Erratum: Transverse momentum and centrality dependence of high-\pt\ non-photonic electron suppression in Au+Au collisions at \sqrtsNN\ = 200 GeV
• Elastic, Inelastic, and Path Length Fluctuations in Jet Tomography
• Thermalization of Heavy Quarks in the Quark-Gluon Plasma
• Measurement of high-p_T Single Electrons from Heavy-Flavor Decays in p+p Collisions at sqrt(s) = 200 GeV
• Is early thermalization achieved only near midrapidity at RHIC ?
• Heavy quark diffusion in perturbative QCD at next-to-leading order
• How sensitive are high-pt electron spectra at RHIC to heavy quark energy loss?
• Comparing the drag force on heavy quarks in N=4 super-Yang-Mills theory and QCD
• Heavy quark diffusion in QCD and N=4 SYM at next-to-leading order
• Interplay between soft and hard hadronic components for identified hadrons in relativistic heavy ion collisions
• Back-to-back correlations of high p_T hadrons in relativistic heavy ion collisions
• Langevin equations with multiplicative noise: resolution of time discretization ambiguities for equilibrium systems
• D-Dbar Correlations as a sensitive probe for thermalization in high-energy nuclear collisions
• The effect of partonic wind on charm quark correlations in high-energy nuclear collisions
• Pseudorapidity dependence of parton energy loss in relativistic heavy ion collisions
• Centrality-dependent direct photon pt spectra in Au+Au collisions at RHIC
• An overview of heavy quark energy loss puzzle at RHIC
• Theoretical developments in heavy and light flavor energy loss
• Onset of $J/\psi$ Melting in Quark-Gluon Fluid at RHIC
• Measurements of heavy quark production via single leptons at PHENIX
• Jet-fluid string formation and decay in high-energy heavy-ion collisions

Cited by in corpus (86)

• Heavy-flavour and quarkonium production in the LHC era: from proton-proton to heavy-ion collisions
• Linearized Boltzmann transport model for jet propagation in the quark-gluon plasma: Heavy quark evolution
• Heavy quark dynamics and hadronization in ultra-relativistic heavy-ion collisions: collisional versus radiative energy loss
• Heavy-Quark Diffusion and Hadronization in Quark-Gluon Plasma
• Directed Flow of Charm Quarks as a Witness of the Initial Strong Magnetic Field in Ultra-Relativistic Heavy Ion Collisions
• Heavy Flavor at the Large Hadron Collider in a Strong Coupling Approach
• Toward a solution to the $R_{AA}$ and $v_2$ puzzle for heavy quarks
• Heavy-flavour spectra in high energy nucleus-nucleus collisions
• Heavy ions and string theory
• Tomography of the Quark-Gluon-Plasma by Charm Quarks
• Open Heavy Flavor in QCD Matter and in Nuclear Collisions
• Energy loss, hadronization and hadronic interactions of heavy flavors in relativistic heavy-ion collisions
• Improved Holographic QCD
• Towards the determination of heavy-quark transport coefficients in quark-gluon plasma
• Quarkonia and Heavy-Quark Relaxation Times in the Quark-Gluon Plasma
• Azimuthal correlations of heavy quarks in Pb+Pb collisions at LHC ($\sqrt{s}=2.76$ TeV)
• Heavy quark pair production in high energy pA collisions: Open heavy flavors
• Thermal Transport and Drag Force in Improved Holographic QCD
• Heavy Flavor in Medium Momentum Evolution: Langevin vs Boltzmann
• Heavy Hadrons in Nuclear Matter
• Heavy flavours in AA collisions: production, transport and final spectra
• Heavy-flavor production and medium properties in high-energy nuclear collisions - What next?
• Heavy flavours in heavy-ion collisions: quenching, flow and correlations
• Thermalization of charm quarks in infinite and finite QGP matter
• Heavy-quark transport coefficients in a hot viscous quark-gluon plasma medium
• Event-by-event $v_n$ correlations of soft hadrons and heavy mesons in heavy ion collisions
• Heavy quark diffusion in an overoccupied gluon plasma
• Heavy Quark Production and Energy Loss
• Fluctuating Heavy Quark Energy Loss in Strongly-Coupled Quark-Gluon Plasma
• DAB-MOD sensitivity study of heavy flavor $R_{AA}$ and azimuthal anisotropies based on beam energy, initial conditions, hadronization, and suppression mechanisms
• Heavy-flavor dynamics in nucleus-nucleus collisions: from RHIC to LHC
• Using string theory to study the quark-gluon plasma: progress and perils
• Data-driven extraction of heavy quark diffusion in quark-gluon plasma
• Dragging $D$ mesons by hot hadrons
• Drag and diffusion coefficients of $B$ mesons in hot hadronic matter
• Diffusion of ${\Lambda }_c$ in hot hadronic medium and its impact on ${\Lambda }_c/D$ ratio
• Heavy quark diffusion in pre-equilibrium stage of heavy ion collisions
• Heavy quark transport in an anisotropic hot QCD medium: Collisional and Radiative processes
• Probing the transport properties of Quark-Gluon Plasma via heavy-flavor Boltzmann and Langevin dynamics
• On bulk viscosity and moduli decay
• Open charm phenomenology with a multi-stage approach to relativistic heavy-ion collisions
• Model and parameter dependence of heavy quark energy loss in a hot and dense medium
• In-medium dispersion relations of charmonia studied by maximum entropy method
• Heavy quark transport coefficients in a viscous QCD medium with collisional and radiative processes
• Production of open-charm mesons in relativistic heavy-ion collisions
• Elliptic Flow in Pb+Pb Collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV at the LHC Using Boltzmann Transport Equation with Non-extensive Statistics
• Tests of the Quark-Gluon Plasma Coupling Strength at Early Times with Heavy Quarks
• Dragging heavy quark in an anisotropic QCD medium beyond the static limit
• Heavy Quark Momentum Broadening in a Non-Abelian Plasma away from Thermal Equilibrium
• Impact of momentum-space anisotropy on heavy quark dynamics in a QGP medium
• Modifications of Heavy-Flavor Spectra in $\sqrt{s_{\mathrm{NN}}}=62.4\mathrm{GeV}$ Au-Au Collisions
• The Influence of Initial State Fluctuations on Heavy Quark Energy Loss in Relativistic Heavy-ion Collisions
• Heavy flavor suppression: role of hadronic matter
• Charm-strange meson production in ultra-relativistic heavy-ion collisions at the CERN-LHC energies
• Dynamics near QCD critical point by dynamic renormalization group
• Nonconformal holographic model for D-meson suppression at energies available at the CERN Large Hadron Collider
• Persistent nonequilibrium effects in generalized Langevin dynamics of nonrelativistic and relativistic particles
• Electron-muon correlation as a new probe to strongly interacting quark-gluon plasma
• Unraveling collisional energy loss of a heavy quark in quark-gluon plasma
• Qualitative and Quantitative Energy Loss?
• The gauge-string duality and heavy ion collisions
• Theory and Phenomenology of Heavy Flavor at RHIC
• A Monte Carlo framework for noncontinuous interactions between particles and classical fields
• Heavy Flavor Suppression: Boltzmann vs Langevin
• Quasirelativistic Langevin equation
• Heavy quark dynamics via Gribov-Zwanziger approach
• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
• Heavy quark dynamics in the QGP: R_AA and v_2 from RHIC to LHC
• Reexamining charm versus bottom quark energy loss inside a color-deconfined medium
• Impacts of EMC effects on the D meson modification factor in equilibrating QGP
• Langevin + Hydrodynamics Approach to Heavy Quark Propagation and Correlation in QGP
• Understanding mass hierarchy in collisional energy loss through heavy flavor data
• A comparative study of different approaches for heavy quark energy loss, based on the latest experimental data
• Heat Distribution of Relativistic Brownian Motion
• Weakness or Strength in the Golden Years of RHIC and LHC?
• A random walk with heavy flavours
• Relativistic Langevin Equation derived from a particle-bath Lagrangian
• Langevin dynamics of heavy flavors in relativistic heavy-ion collisions
• Heavy flavour in nucleus-nucleus collisions at RHIC and LHC: a Langevin approach
• Heavy-quark Langevin dynamics and single-electron spectra in nucleus-nucleus collision
• An Effective Field Theory study of medium heavy quark evolution
• Heavy flavor electron $R_{\text{AA}}$ and $v_2$ in event-by-event relativistic hydrodynamics
• Production of charm and bottom quarks in $p+p$ collisions at 200GeV
• Impact of momentum-dependent drag coefficient on energy loss of charm and bottom quarks in QGP
• Heavy quark polarization anisotropy as a novel probe of fireball geometry
• Time Dependent $\hat{q}$ from AdS/CFT