Bottom Energy Loss and Non-Prompt J/ψ Production in Relativistic Heavy Ion Collisions

We study the momentum and centrality dependence of the nonprompt J/& psi; nuclear modification factors (RAA), which come from the B hadron 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 & RADIC;sNN = 5.02 TeV, we calculated the RAA and also the elliptic flows of nonprompt J/& psi; from the decay of B mesons at different centralities and transverse momentum bins. The RAA and v2 of nonprompt J/& psi; sensitive to the hot medium reflect and centrality supply an opportunity to study the bottom quarks energy loss in the hot medium.