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The contributions of the matter superfields and of the Faddeev--Popov ghoststo the $\beta$-function of ${\cal N}=1$ supersymmetric gauge theories definedin terms of the bare couplings are calculated in all orders in the case ofusing the higher covariant derivative regularization. For this purpose we usethe recently proved statement that the $\beta$-function in these theories isgiven by integrals of double total derivatives with respect to the loopmomenta. These integrals do not vanish due to singularities of the integrands.This implies that the $\beta$-function beyond the one-loop approximation isgiven by the sum of the singular contributions, which is calculated in allorders for singularities produced by the matter superfields and by theFaddeev--Popov ghosts. The result is expressed in terms of the anomalousdimensions of these superfields. It coincides with the corresponding part ofthe new form of the NSVZ equation, which can be reduced to the original onewith the help of the non-renormalization theorem for the triple gauge-ghostvertices.

The NSVZ $\beta$-function for theories regularized by higher covariant derivatives: the all-loop sum of matter and ghost singularities