Superconformal invariance from N = 2 supersymmetry Ward identities

We algebraically prove the cancellation of the β function at all order of perturbation theory of = 2 supersymmetric gauge theories with a vanishing one-loop β function. The proof generalises that recently given for the = 4 case. It uses the consistent Slavnov-Taylor identities of the shadow dependent formulation. We also demonstrate the cancellation at all orders of the anomalous dimensions of vector and hypermultiplet BPS operators.