Heavy quark collisional energy loss in the quark-gluon plasma including finite relaxation time

Abstract

In this paper, we calculate the soft-collisional energy loss of heavy quarks traversing the viscous quark-gluon plasma including the effects of a finite relaxation time ${\tau }_{\pi }$ on the energy loss. We find that the collisional energy loss depends appreciably on ${\tau }_{\pi }$ . In particular, for typical values of the viscosity-to-entropy ratio, we show that the energy loss obtained using ${\tau }_{\pi }$ = 0 can be $\sim$ 10$\%$ larger than the one obtained using ${\tau }_{\pi }$ = 0. Moreover, we find that the energy loss obtained using the kinetic theory expression for ${\tau }_{\pi }$ is much larger that the one obtained with the ${\tau }_{\pi }$ derived from the Anti de Sitter/Conformal Field Theory correspondence. Our results may be relevant in the modeling of heavy quark evolution through the quark-gluon plasma.

arXiv commentv2: 5 pages, 4 figures, added references. Accepted for publication in Phys. Rev. D

References in corpus (28)

• New Developments in Relativistic Viscous Hydrodynamics
• Heavy-Quark Probes of the Quark-Gluon Plasma at RHIC
• Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Thermalization of Heavy Quarks in the Quark-Gluon Plasma
• Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
• Heavy quark dynamics and hadronization in ultra-relativistic heavy-ion collisions: collisional versus radiative energy loss
• J/psi suppression at forward rapidity in Au+Au collisions at sqrt(s_NN)=200 GeV
• Collisional Energy Loss in a Finite Size QCD Matter
• Origin of the Relaxation Time in Dissipative Fluid Dynamics
• Quarkonia in the Quark Gluon Plasma
• Dragging Heavy Quarks in Quark Gluon Plasma at the Large Hadron Collider
• Divergence-type nonlinear conformal hydrodynamics
• MARTINI for heavy quarks: initialization, parton evolution, and hadronization with event generation
• Divergence-type 2+1 dissipative hydrodynamics applied to heavy-ion collisions
• What Do Electromagnetic Plasmas Tell Us about Quark-Gluon Plasma?
• Dielectric Functions and Dispersion Relations of Ultra-Relativistic Plasmas with Collisions
• Macroscopic approximation to relativistic kinetic theory from a nonlinear closure
• Linking the hydrodynamic and kinetic description of a dissipative relativistic conformal theory
• Energy gain of heavy quarks by fluctuations in the QGP
• Charmonium suppression in the presence of dissipative forces in a strongly coupled quark-gluon plasma
• Gluon Emission of Heavy Quarks: Dead Cone Effect
• Jet Quenching from soft QCD Scattering in the Quark-Gluon Plasma
• Effective dynamics of a nonabelian plasma out of equilibrium
• Jet-induced gauge field instabilities in the quark-gluon plasma: A kinetic theory approach
• Collisional Energy Loss of Fast Charged Particles in Relativistic Plasmas
• Theory of heavy quark energy loss
• A hydrodynamic approach to QGP instabilities
• Parton Energy Loss in Two-Stream Plasma System

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• Measurement of electrons from open heavy-flavor hadron decays in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200$ GeV with the STAR detector
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• Non-conformal evolution of magnetic fields during reheating
• NLO Dispersion Laws for Slow-Moving Quarks in HTL QCD
• Collective excitations in the hot QCD medium and the propagation of Heavy Quarks