  The ratio of shear viscosity to entropy density shows a valley-shaped pattern
well-known in the community of heavy-ion physics. Diffusion coefficients of
heavy quark and meson shows the similar structure, and both sketches have
become quite popular in the community. Present work has attempted a finite
magnetic field extension of the diffusion coefficients of heavy quark and
meson. Using Einstein's diffusion relation, we calculated heavy quark and heavy
meson diffusion by the ratio of conductivity to susceptibility in the kinetic
theory framework of relaxation time approximation. The relaxation time of heavy
quark and meson are tuned from the knowledge of earlier works on spatial
diffusion estimations, and then we have extended the framework for a finite
magnetic field, where our outcomes have revealed two aspects - anisotropic and
quantum aspects of diffusion with future possibilities of phenomenological
signature.
