Energy Loss of a Heavy Quark in a Collisional Quark-Gluon Plasma

Abstract

We extend our previous work on the energy loss of a heavy fermion in a QED plasma to the Quark-Gluon plasma, using the same Bhatnagar-Gross-Krook collisional kernel. The calculation is carried out with a theoretical method where the hard-thermal-loop resummed gluon propagator is used for arbitrary momentum transfer in the scattering processes. Encoding the collision effect in a self-consistent manner, the resummed gluon propagator regulates the infrared divergence in the scattering amplitude without introducing an artificial cutoff for the transferred momenta and makes the analysis on the hard and soft processes in a unified framework. To place our computation on a more solid foundation, we also explicitly demonstrate the gauge independence of the interaction rate as well as the elimination of unphysical gluon polarizations by the ghost field under the use of the resummed gluon propagator. In addition, with our complete QCD calculation by including both quark-quark and quark-gluon scatterings, we provide a quantitatively reliable result on the collisional energy loss of a heavy quark where the new contribution from quark-gluon scatterings accounts for a larger portion of the total energy loss. In general, collisions between the thermal partons result in an increased energy loss which becomes more pronounced with increasing gauge coupling. Considering a typical coupling constant in QCD, ${\alpha }_s=0.3$, the energy loss increases $\sim 8$% at large incident velocities as compared to the collisionless limit. Such a collision-induced correction is still moderate although it is sightly suppressed as compared to our previous estimate based on a QED calculation using couplings consistent with those expected to be generated in the Quark-Gluon plasma.

arXiv commentfinal version, published in PRD

References in corpus (37)

• Radiative energy loss of high energy quarks and gluons in a finite volume quark-gluon plasma
• Fully quantum treatment of the Landau--Pomeranchuk--Migdal effect in QED and QCD
• Heavy quark colorimetry of QCD matter
• Multiple Collisions and Induced Gluon Bremsstrahlung in QCD
• Gluon Radiation off Hard Quarks in a Nuclear Environment: Opacity Expansion
• Multiple Parton Scattering in Nuclei: Parton Energy Loss
• Photon and Gluon Emission in Relativistic Plasmas
• Non-Abelian Energy Loss at Finite Opacity
• Photon Emission from Quark-Gluon Plasma: Complete Leading Order Results
• Elastic, Inelastic, and Path Length Fluctuations in Jet Tomography
• Heavy Quark Radiative Energy Loss in QCD Matter
• Heavy Quark Energy Loss in Nuclear Medium
• MARTINI: An event generator for relativistic heavy-ion collisions
• Energy Loss of Charm Quarks in the Quark-Gluon Plasma: Collisional vs Radiative
• Radiative and Collisional Jet Energy Loss in the Quark-Gluon Plasma at RHIC
• Collisional Energy Loss in a Finite Size QCD Matter
• Collisional energy loss of a fast heavy quark in a quark-gluon plasma
• Effective matrix model for deconfinement in pure gauge theories
• A model of the effect of collisions on QCD plasma instabilities
• How Wide is the Transition to Deconfinement?
• Suppression of the Shear Viscosity in a "semi" Quark Gluon Plasma
• Collisional Energy Loss of a Heavy Quark in an Anisotropic Quark-Gluon Plasma
• Energy Loss of a Heavy Fermion in an Anisotropic QED Plasma
• Parton Interaction Rates in the Quark-Gluon Plasma
• Radiative heavy quark energy loss in a dynamical QCD medium
• Collisional Energy Loss of a Fast Muon in a Hot QED Plasma
• The evolving distribution of hard partons traversing a hot strongly interacting plasma
• Dielectric Functions and Dispersion Relations of Ultra-Relativistic Plasmas with Collisions
• Collisional energy loss above the critical temperature in QCD
• Measuring chiral imbalance with collisional energy loss
• Matrix Models for Deconfinement and Their Perturbative Corrections
• Resummed Gluon Propagator and Debye Screening Effect in a Holonomous Plasma
• Collisional energy loss of a heavy quark in a semiquark-gluon plasma
• Energy loss of a heavy fermion in a collisional QED plasma
• Collective modes of a collisional anisotropic quark-gluon plasma
• Collisional and radiative energy loss in small systems
• Suppression of the jet quenching parameter near the critical temperature