Dynamical collisional energy loss and transport properties of on- and off-shell heavy quarks in vacuum and in the Quark Gluon Plasma

Abstract

In this study we evaluate the dynamical collisional energy loss of heavy quarks, their interaction rate as well as the different transport coefficients (drag and diffusion coefficients, $\hat{q}$, etc). We calculate these different quantities for i) perturbative partons (on-shell particles in the vacuum with fixed and running coupling) and ii) for dynamical quasi-particles (off-shell particles in the QGP medium at finite temperature $T$ with a running coupling in temperature as described by the dynamical quasi-particles model). We use the perturbative elastic $(q(g)Q\to q(g)Q)$ cross section for the first case, and the Infrared Enhanced Hard Thermal Loop cross sections for the second. The results obtained in this work demonstrate the effects of a finite parton mass and width on the heavy quark transport properties and provide the basic ingredients for an explicit study of the microscopic dynamics of heavy flavors in the QGP - as formed in relativistic heavy-ion collisions - within transport approaches developed previously by the authors.

32 pages, 30 figures

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Cited by in corpus (6)

• Toward a solution to the $R_{AA}$ and $v_2$ puzzle for heavy quarks
• From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation
• Heavy quark scattering and quenching in a QCD medium at finite temperature and chemical potential
• Bottom energy loss and non-prompt $J/\psi$ production in relativistic heavy ion collisions
• Transport properties from Charm to Bottom: $p_T$ suppression, anisotropic flow $v_n$ and their correlations to the bulk dynamics
• Effects of jet-medium interactions on angular correlations of jet-particle pairs at different energy scales