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Heavy quark production provides a unique probe of the quark-gluon plasmatransport properties in heavy ion collisions. Experimental observables like thenuclear modification factor $R_{\rm AA}$ and elliptic anisotropy $v_{2}$ ofheavy flavor mesons are sensitive to the heavy quark diffusion coefficient.There now exist an extensive set of such measurements, which allow adata-driven extraction of this coefficient. In this work, we make such anattempt within our recently developed heavy quark transport modeling framework(Langevin-transport with Gluon Radiation, LGR). A question of particularinterest is the temperature dependence of the diffusion coefficient, for whichwe test a wide range of possibility and draw constraints by comparing relevantcharm meson data with model results. We find that a relatively strong increaseof diffusion coefficient from crossover temperature $T_c$ toward hightemperature is preferred by data. We also make predictions for Bottom mesonobservables for further experimental tests.

Data-driven extraction of heavy quark diffusion in quark-gluon plasma