Abstract
The collisional energy loss of heavy partons (charm and bottom quarks) has been determined within the framework of semi-classical transport theory implying the Bhatnagar–Gross–Krook (BGK) collisional kernel. Hot QCD medium effects have been incorporated while employing a quasi-particle description of the medium in terms of effective gluons, quarks and antiquarks with respective temperature dependent effective fugacities. The momentum dependence of the energy loss for the charm and the bottom quark has been investigated. It is observed that with the increase in momentum of the heavy quarks, the loss increases sharply for the smaller values and reaches saturation later. Furthermore, as compared to the charm quark, the bottom quark loses less energy at a particular momentum and collisional frequency. The energy loss is seen to increase with increasing collisional frequency. We also provide a comparative study of the results obtained using the BGK kernel rather than those using the relaxation time approximation (RTA) kernel and found them to be consistent with each other. The medium effects in all the situations are seen to play a quite significant role.
Highlights
Let us discuss the current understanding of energy loss due to a fast charged particle in the interacting plasma medium
The high energy partons/heavy quarks that are created in the initial hard scatterings, in ultra-relativistic heavy-ion collisions, pass through the hot and dense matter produced after the collision and lose their energy through various processes
The energy loss of the heavy quarks moving through the isotropic collisional hot quantum chromodynamics (QCD) medium produced in the relativistic heavy-ion collision experiments has been investigated
Summary
Let us discuss the current understanding of energy loss due to a fast charged particle in the interacting plasma medium. The heavy quarks’ collisional energy loss inside the QGP medium within the framework of the transport approach, employing the finite RTA, has been studied in Ref. We present the study of energy loss of bottom and charm quarks traversing through the isotropic collisional QGP within the effective transport theory approach. The gluon selfenergy has been obtained using the transport theory approach in the Abelian limit This matches with the one-loop results from the HTL effective theory [61,62,63]. A systematic comparison of the results as regards the energy loss of heavy quarks employing the BGK and RTA kernels (collisions) is presented here.
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