  We calculate color screening mass in a thermalized and magnetized QCD matter
in the frame of loop resummation theory without restriction to the magnetic
field strength. Our full calculation covers the often used approximations for
weak magnetic field at high temperature and strong magnetic field at low
temperature. We find that while the magnetic field created in heavy ion
collisions at RHIC and LHC energies is probably the strongest one in nature,
its effect on the QCD matter is still weaker in comparison with the high
temperature of the fireball, and therefore can safely be treated as a
perturbation.
