Bottom energy loss and non-prompt $J/\psi$ production in relativistic heavy ion collisions

TL;DR

This paper investigates how bottom quarks lose energy in quark-gluon plasma during heavy ion collisions by modeling their energy loss and hadronization, and compares the results with experimental data on non-prompt $J/\psi$ production.

Contribution

It introduces a comprehensive model including elastic and radiative energy loss, hydrodynamic medium evolution, and coalescence hadronization for bottom quarks in Pb-Pb collisions at 5.02 TeV.

Findings

Calculated nuclear modification factors ($R_{AA}$) for non-prompt $J/\psi$

Predicted elliptic flow ($v_2$) of non-prompt $J/\psi$

Results show sensitivity of $R_{AA}$ and $v_2$ to medium properties

Abstract

We study the momentum and centrality dependence of the non-prompt $J/\psi$ nuclear modification factors ($R_{AA}$), which comes from the $B$ hadrons decay, in Pb-Pb collisions at the Large Hadron Collider. Bottom quarks are produced in the parton hard scatterings and suffer energy loss in the quark-gluon plasma and the hadronic gas, where the spatial and time evolution of the medium is described with the hydrodynamic equations. Medium-induced elastic scatterings and the radiation in bottom quarks are included in the energy loss of bottom quarks. The hadronization process of bottom quarks is described with the instantaneous coalescence model. After considering both cold and hot nuclear matter effects in Pb-Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV, we calculated the $R_{AA}$ and also the elliptic flows of non-prompt $J/\psi$ from the decay of $B$ mesons at different centralities and transverse momentum bins. The $R_{AA}$ and $v_2$ of non-prompt $J/\psi$ sensitive to the hot medium reflect and centrality supply an opportunity to study the bottom quarks energy loss in the hot medium.