Using a Bayesian model-to-data analysis, we estimate the temperature dependence of the heavy quark diffusion coefficients by calibrating to the experimental data of $D$-meson $R_{ \mathrm{ AA}}$ and $v_2$ in AuAu collisions ($\sqrt{ s_{ NN}}=200$ GeV) and PbPb collisions ($\sqrt{ s_{ NN}}=2.76$ TeV)~\cite{ Xie:2016iwq}. The spatial diffusion coefficient $D_s2\pi T$ is found to be mostly constraint around $(1.3-1.5) T_c$ and is compatible with lattice QCD calculations. We demonstrate the capability of our improved Langevin model to simultaneously describe the $R_{ \mathrm{ AA}}$ and $v_2$ at both RHIC and the LHC energies, as well as the feasibility to apply a Bayesian analysis to quantitatively study the heavy flavor transport in heavy-ion collisions.
Categories: nucl-th