Аннотация:We construct in all loops a renormalization prescription giving the NSVZ scheme (in
which the β-function coincides with the NSVZ expression relating the β-function with the
anomalous dimension of the matter superfields) for Abelian supersymmetric theories regularized by higher derivatives. The NSVZ scheme for the renormalization group functions
defined in terms of the renormalized coupling constant is obtained in this case by imposing
some simple boundary conditions on the renormalization constants. The renormalization
group functions defined in terms of the bare coupling constant satisfy the NSVZ relation for
an arbitrary renormalization prescription, if the higher derivatives are used for regularization.