Algebraic Renormalization of N = 1 Supersymmetric Gauge Theories with Supersymmetry Breaking Masses 1

We provide N = 1 Super Yang-Mills theory in the Wess-Zumino gauge with mass terms for the supersymmetric partners of the gauge fields and of the matter fields, together with a supersymmetric mass term for the fermionic matter fields. All mass terms are chosen in such a way to induce soft supersymmetry breakings at most, while preserving gauge invariance to all orders of perturbation theory. The breakings are controlled through an extended Slavnov-Taylor identity. The renormalization analysis, both in the ultraviolet and in the infrared region, is performed. Supported in part by the Swiss National Science Foundation. On leave of absence from Università degli Studi di Genova, Dipartimento di Fisica.