Impact of momentum-dependent drag coefficient on energy loss of charm and bottom quarks in QGP

Abstract

This paper investigates the influence of heavy-quark momentum on their interaction rate and the resulting drag coefficient in a quark-gluon plasma. To go beyond simplified treatments, we introduce a phenomenological extension of the drag coefficient by expressing the energy loss coefficients as polynomial expansions of momentum, thereby providing a flexible framework to test the sensitivity of heavy-quark observables to additional momentum dependence in transport coefficients. Furthermore, the effects of particle momentum on radiative and collisional energy loss are determined more accurately. The study focuses on calculating the nuclear modification factor ($R_{AA}$) of charm and bottom quarks in Pb-Pb collisions at $\sqrt{S_{NN}}=5.02TeV$. The initial distribution functions are evolved numerically using the Fokker-Planck equation. The results are compared with the latest experimental data from ALICE and ATLAS, collected in 2021 and 2022.

16 pages, 5 figures

References in corpus (17)

• Relativistic hydrodynamics for heavy-ion collisions
• Toward a solution to the $R_{AA}$ and $v_2$ puzzle for heavy quarks
• A data-driven analysis for the temperature and momentum dependence of the heavy quark diffusion coefficient in relativistic heavy-ion collisions
• Heavy Quark Diffusion with Relativistic Langevin Dynamics in the Quark-Gluon Fluid
• Collisional energy loss of a fast heavy quark in a quark-gluon plasma
• Prompt D${}^0$, D${}^{+}$, and D${}^{\ast +}$ production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• The QCD collisional energy loss revised
• Data-driven extraction of heavy quark diffusion in quark-gluon plasma
• Charm and Bottom Hadrons in Hot Hadronic Matter
• Production of muons from heavy-flavour hadron decays at high transverse momentum in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ and 2.76 TeV
• A detailed study of charm content of a proton in the frameworks of the Kimber-Martin-Ryskin and Martin-Ryskin-Watt approaches
• Study of the heavy quarks energy loss through medium polarization, elastic collision and radiative processes
• Heavy quark diffusion and radiation at intermediate momentum
• The analysis of Drell-Yan lepton pair production in the P-P(P) colliders using different angular ordering constraints and $k_t$-factorization approach
• Heavy quark suppression and anisotropic flow at intermediate momentum
• Impacts of EMC effects on the D meson modification factor in equilibrating QGP
• A comparative study of different approaches for heavy quark energy loss, based on the latest experimental data