  We evaluate the heavy quark momentum diffusion coefficients in a hot
magnetized medium for the most general scenario of any arbitrary values of the
external magnetic field. We choose to work with the systematic way of
incorporating the effect of the magnetic field, by using the effective gluon
and quark propagators, generalized for a hot and magnetized medium. To get
gauge independent analytic form factors valid through all Landau levels, we
apply the Hard Thermal Loop (HTL) technique for the resummed effective gluon
propagator. The derived effective HTL gluon propagator and the generalized
version of Schwinger quark propagator subsequently allow us to analytically
evaluate the longitudinal and transverse momentum diffusion coefficients for
charm and bottom quarks beyond the static limit. Within the static limit we
also explore another way of incorporating the effect of the magnetic field,
i.e. through the magnetized medium modified Debye mass and compare the results
to justify the need for structural changes.
