Heavy quark dynamics in a strongly magnetized medium

We present a calculation of the heavy quark momentum diffusion coefficients in strongly magnetized medium, within Lowest Landau Level (LLL) approximation. In particular, we use Hard Thermal Loop (HTL) resummed effective gluon propagator, generalized for hot and medium. Using this HTL propagator along with LLL analytically derive full results longitudinal transverse charm bottom quarks beyond static limit. Going limit quark, also show numerical these two special cases where is moving either parallel or perpendicular to external magnetic field.