Heavy quark transport in heavy ion collisions at energies available at the BNL Relativistic Heavy Ion Collider and at the CERN Large Hadron Collider within the UrQMD hybrid model

We implement a Langevin approach for the transport of heavy quarks in the ultrarelativistic quantum molecular dynamics (UrQMD) hybrid model, which uses the transport model UrQMD to determine realistic initial conditions for the hydrodynamical evolution of quark gluon plasma and heavy charm and bottom quarks. It provides a realistic description of the background medium for the evolution of relativistic heavy ion collisions. The diffusion of heavy quarks is simulated with a relativistic Langevin approach, using two sets of drag and diffusion coefficients, one based on a T-matrix approach and one based on a resonance model for elastic scattering of heavy quarks within the medium. In the case of the resonance model we investigate the effects of different decoupling temperatures of heavy quarks from the medium, ranging between 130 and 180 MeV. We present calculations of the nuclear modification factor R-AA, as well as of the elliptic flow v2 in Au + Au collisions at root sNN = 200 GeV and Pb + Pb collisions at root sNN = 2.76 TeV. To make our results comparable to experimental data at the Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC), we implement a Peterson fragmentation and a quark coalescence approach followed by semileptonic decay of the D and B mesons to electrons. We find that our results strongly depend on the decoupling temperature and the hadronization mechanism. At a decoupling temperature of 130 MeV we reach a good agreement with the measurements at both the RHIC and the LHC energies simultaneously for the elliptic flow v2 and the nuclear modification factor R-AA.