QLBT: A linear Boltzmann transport model for heavy quarks in a quark-gluon plasma of quasi-particles

Abstract

We develop a new heavy quark transport model, QLBT, to simulate the dynamical propagation of heavy quarks inside the quark-gluon plasma (QGP) created in relativistic heavy-ion collisions. Our QLBT model is based on the linear Boltzmann transport (LBT) model with the ideal QGP replaced by a collection of quasi-particles to account for the non-perturbative interactions among quarks and gluons of the hot QGP. The thermal masses of quasi-particles are fitted to the equation of state from lattice QCD simulations using the Bayesian statistical analysis method. Combining QLBT with our advanced hybrid fragmentation-coalescence hadronization approach, we calculate the nuclear modification factor $R_{\mathrm{AA}}$ and the elliptic flow $v_2$ of $D$ mesons at the Relativistic Heavy-Ion Collider and the Large Hadron Collider. By comparing our QLBT calculation to the experimental data on the $D$ meson $R_{\mathrm{AA}}$ and $v_2$, we extract the heavy quark transport parameter $\hat{q}$ and diffusion coefficient $D_{\mathrm{s}}$ in the temperature range of $1-4T_{\mathrm{c}}$, and compare them with the lattice QCD results and other phenomenological studies.

13 pages, 9 figures

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• Linear Boltzmann transport for jet propagation in the quark-gluon plasma: Inelastic processes and jet modification
• Deep-learning quasi-particle masses from QCD equation of state
• Constraining the equation of state with heavy quarks in the quasi-particle model of QCD matter
• Heavy-Flavour Jets in High-Energy Nuclear Collisions
• Hard jet substructure in a multistage approach
• Inelastic and elastic parton scatterings in the strongly interacting quark-gluon plasma
• Reexamining charm versus bottom quark energy loss inside a color-deconfined medium
• Jet transport coefficients by elastic and radiative scatterings in the strongly interacting quark-gluon plasma
• Melting of heavy quarkonia in QGP using deep neural networks
• The Fox-Wolfram Moment of Jet Production in Relativistic Heavy Ion Collisions
• A modular perspective to the jet suppression from a small to large radius in very high transverse momentum jets