  Studying the diffusion and kinetic equilibration of heavy quarks within a hot
QCD medium profits from the knowledge of a coloured Lorentz force that acts on
them. Starting from the spatial components of the vector current, and carrying
out two matching computations, one for the heavy quark mass scale ($M$) and
another for thermal scales ($\sqrt{MT}$, $T$), we determine 1-loop matching
coefficients for the electric and magnetic parts of a Lorentz force. The
magnetic part has a non-zero anomalous dimension, which agrees with that
extracted from two other considerations, one thermal and the other in vacuum.
The matching coefficient could enable a lattice study of a colour-magnetic
2-point correlator.

High Energy Physics - Phenomenology;High Energy Physics - Lattice