Quantum color screening in external magnetic field

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