R_AA and v_n: relativistic transport approach for charm and bottom toward a more solid phenomenological determination of D_s(T)

Quasi-Particle Model (QPM) allows for a good description of the main features of thermodynamics computed via lattice QCD (lQCD) and for charm quark supplies a satisfying description of R_AA and υ_2,3 of D mesons. Within an event-by-event full Boltzmann transport approach followed by a hybrid hadronization via coalescence plus fragmentation, we investigate the extension to bottom quark dynamics discussing predictions for R_AA and υ_2,3 of B mesons comparing to the available experimental data by ALICE collaboration on electrons from B meson decay. Furthermore, we extend our QPM approach to a more realistic model in which partonic propagators explicitly depend on quark momentum (QPMp) following Dyson-Schwinger studies. The QPM_p improves the description of quark susceptibilities computed via lQCD, understimated in the standard QPM approach and entails a D_s with a stronger nonperturbative behaviour near to T_c which leads to a better agreement with the recent lQCD data.