A data-driven analysis for the temperature and momentum dependence of the heavy quark diffusion coefficient in relativistic heavy-ion collisions

Abstract

By applying a Bayesian model-to-data analysis, we estimate the temperature and momentum dependence of the heavy quark diffusion coefficient in an improved Langevin framework. The posterior range of the diffusion coefficient is obtained by performing a Markov chain Monte Carlo random walk and calibrating on the experimental data of $D$-meson $R_{\mathrm{AA}}$ and $v_2$ in three different collision systems at RHIC and the LHC: AuAu collisions at 200 GeV, PbPb collisions at 2.76 and 5.02 TeV. The spatial diffusion coefficient is found to be consistent with lattice QCD calculations and comparable with other models' estimation. We demonstrate the capability of our improved Langevin model to simultaneously describe the $R_{\mathrm{AA}}$ and $v_2$ at both RHIC and the LHC energies, as well as the higher order flow coefficient such as $D$-meson $v_3$. We show that by applying a Bayesian analysis, we are able to quantitatively and systematically study the heavy flavor dynamics in heavy-ion collisions.

16 pages, 13 figures

References in corpus (19)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• EPS09 - a New Generation of NLO and LO Nuclear Parton Distribution Functions
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Viscosity, Black Holes, and Quantum Field Theory
• Alternative ansatz to wounded nucleon and binary collision scaling in high-energy nuclear collisions
• Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Towards an understanding of the RHIC single electron data
• ${\mathbf{D}}_{\mathbf{s}}$-Meson as Quantitative Probe of Diffusion and Hadronization in Nuclear Collisions
• A light-cone wavefunction approach to open heavy flavor dynamics in QCD matter
• Toward a solution to the $R_{AA}$ and $v_2$ puzzle for heavy quarks
• Charmonium properties in hot quenched lattice QCD
• Constraining the Eq. of State of Super-Hadronic Matter from Heavy-Ion Collisions
• Heavy quark diffusion in perturbative QCD at next-to-leading order
• Azimuthal anisotropy of D meson production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Cosmic Calibration: Constraints from the Matter Power Spectrum and the Cosmic Microwave Background
• Elliptic and triangular flow of heavy flavor in heavy-ion collisions
• Quantifying properties of hot and dense QCD matter through systematic model-to-data comparison
• Heavy quark jet quenching with collisional plus radiative energy loss and path length fluctuations
• A Bayesian Approach for Parameter Estimation and Prediction using a Computationally Intensive Model

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