The major problem of the self-shielding methods based on the equivalence principle is the difficulty of calculating the dilution cross section σe with adequate precision. We have proposed a new self-shielding procedure that contains a new technique to calculate dilution cross section. We have compared our method to the generalized Stamm'ler method. Accuracy of each computing approach is determined using reference results obtained from a micro-group slowing-down code named CESCOL.
m-mode regularization scheme for the self-force in Kerr spacetime