Derivation of the exact NSVZ β-function in N = 1 SQED regularized by higher derivatives by summation of Feynman diagrams

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We describe some calculations, which demonstrate that the β-function in N = 1 supersymmetric theories, regularized by higher covariant derivatives, is given by integrals of double total derivatives. This allows to calculate one of the loop integrals analytically and obtain the NSVZ β-function in the considered approximation. For the N = 1 supersymmetric electrodynamics the factorization of integrals into integrals of double total derivatives can be proved in all orders using a special technique. As a result, the exact NSVZ β-function is obtained by explicit summation of Feynman diagrams without a redefinition of the coupling constant.