  The heavy quark drag and momentum diffusion coefficients in the presence of
both the collisional and radiative processes have been studied in a hot viscous
QCD medium. The thermal medium effects are incorporated by employing the
effective fugacity quasiparticle model based on the lattice QCD equation of
state. Viscous effects are embedded into the heavy quark transport through the
near-equilibrium distribution functions of the constituent medium particles of
the quark-gluon plasma. The viscous corrections to the momentum distributions
have been estimated from the effective Boltzmann equation. The effect of shear
viscous correction to drag and diffusion is investigated by considering the
soft gluon radiation by heavy quarks along with the elastic collisional
processes of the heavy quark with the light quarks and gluons within the QGP
medium. The momentum and temperature dependence of the heavy quark transport
coefficients are seen to be sensitive to the viscous coefficient of the QGP for
the collisional and radiative processes. The collisional and radiative energy
loss of the heavy quark in the viscous quark-gluon plasma has also been
explored.
