A linearized Boltzmann--Langevin model for heavy quark transport in hot and dense QCD matter

Abstract

In relativistic heavy-ion collisions, the production of heavy quarks at large transverse momenta is strongly suppressed compared to proton-proton collisions. In addition an unexpectedly large azimuthal anisotropy was observed for the emission of charmed hadrons in non-central collisions. Both observations pose challenges to the theoretical understanding of the coupling between heavy quarks and the quark-gluon plasma produced in these collisions. Transport models for the evolution of heavy quarks in a QCD medium offer the opportunity to study these effects - two of the most successful approaches are based on the linearized Boltzmann transport equation and the Langevin equation. In this work, we develop a hybrid transport model that combines the strengths of both of these approaches: heavy quarks scatter with medium partons using matrix-elements calculated in perturbative QCD, while between these discrete hard scatterings they evolve using a Langevin equation with empirical transport coefficients to capture the non-perturbative soft part of the interaction. With the hybrid transport model coupled to a state-of-the-art event-by-event bulk evolution model based on 2+1D relativistic viscous fluid dynamics, we study the azimuthal anisotropy and nuclear modification factor of heavy quarks in Pb+Pb collisions at $\sqrt{s}=5.02$ TeV. The parameters of our model are calibrated using a Bayesian analysis comparing to available $D$-meson and $B$-meson data at the LHC. Using the calibrated model, we study the implications on heavy-flavor transport properties and predict novel observables.

References in corpus (14)

• The equation of state in (2+1)-flavor QCD
• 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
• Charmonium properties in hot quenched lattice QCD
• Constraining the Eq. of State of Super-Hadronic Matter from Heavy-Ion Collisions
• A data-driven analysis for the temperature and momentum dependence of the heavy quark diffusion coefficient in relativistic heavy-ion collisions
• Radiative energy loss in a finite dynamical QCD medium
• Measurement of prompt D-meson production in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• 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
• Bayesian parameter estimation for relativistic heavy-ion collisions
• Estimating the Charm Quark Diffusion Coefficient and thermalization time from D meson spectra at RHIC and LHC

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