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We compute the three loop $\beta$ function of the Wess-Zumino model tomotivate implicit regularization (IR) as a consistent and practicalmomentum-space framework to study supersymmetric quantum field theories. Inthis framework which works essentially in the physical dimension of the theorywe show that ultraviolet are clearly disantangled from infrared divergences. Weobtain consistent results which motivate the method as a good choice to studysupersymmetry anomalies in quantum field theories.Comment: 9 pages, 6 figures, RevTe

Consistent momentum space regularization/renormalization of supersymmetric quantum field theories: the three-loop β-function for the Wess-Zumino model