Addendum to ``One loop calculation of the renormalized anisotropy for improved anisotropic gluon actions on a lattice'': Contribution of O(α) radiative corrections to the renormalized anisotropy and application to general tadpole improvement schemes

General O(alpha) radiative corrections to lattice actions may be interpreted as counterterms that give additive contributions to the one-loop renormalisation of the anisotropy. The effect of changing the radiative coefficients is thus easily calculable. In particular, the results obtained in a previous paper for Landau mean link improved actions apply in any tadpole improvement scheme. We explain how this method can be exploited when tuning radiatively improved actions. Efficient methods for self-consistently tuning tadpole improvement factors are also discussed.