  We present a calculation of the heavy quark momentum diffusion coefficients
in a quark-gluon plasma under the presence of a strong external magnetic field,
within the Lowest Landau Level (LLL) approximation. In particular, we apply the
Hard Thermal Loop (HTL) technique for the resummed effective gluon propagator,
generalized for a hot and magnetized medium. Using the derived effective HTL
gluon propagator and the LLL quark propagator we analytically derive the full
results for the longitudinal and transverse momentum diffusion coefficients as
well as the energy losses for charm and bottom quarks beyond the static limit.
We also show numerical results for these coefficients in two special cases
where the heavy quark is moving either parallel or perpendicular to the
external magnetic field.
