  Heavy-flavor particles are excellent probes of the properties of the hot and
dense nuclear medium created in the relativistic heavy-ion collisions.
Heavy-flavor transport coefficients in the quark-gluon plasma (QGP) stage of
the collisions are particularly interesting, as they contain important
information on the strong interaction at finite temperatures. Studying the
heavy-flavor evolution in a dynamically evolving medium requires a
comprehensive multi-stage modeling approach of both the medium and the probes,
with an accurate implementation of the physical ingredients to be tested. For
this purpose, I have developed a new partonic transport model
(Linear-Boltzmann-plus-Diffusion-Transport-Model) LIDO and applied it to heavy
quark propagation inside a QGP. The model has an improved implementation of
parton in-medium bremsstrahlung and a flexible treatment of the probe-medium
interactions, combining both large angle scatterings and diffusion processes.
The model is then coupled to a high-energy event-generator, a hydrodynamic
medium evolution and a hadronic transport model. Finally, applying a Bayesian
analysis, I extract the heavy quark transport coefficients from a model-to-data
comparison. The results, with uncertainty quantification, are found to be
consistent with earlier extraction of the light-quark transport coefficients at
high momentum and with first-principle calculations of the heavy flavor
diffusion constant at low momentum.
