Renormalization of supersymmetric Yang-Mills theories with soft supersymmetry breaking

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  • 13 July 2000
Abstract
The renormalization of supersymmetric Yang-Mills theories with soft supersymmetry breaking is performed. As usually done in concrete calculations, the Wess-Zumino gauge is used throughout, and the non-existence of a consistent supersymmetric and gauge invariant regularization is taken seriously. Our central results are a suitable rigorous definition of the models, the correct gauge fixing and ghost terms, the general form of the divergences, and a proof that renormalization of the fields and parameters in the classical Lagrangian yields precisely the correct counterterms to cancel all divergences. In our construction additional spurious parameters appear but are shown to be physically irrelevant. We comment on the inclusion of additional, non-standard, soft breaking terms, and we exemplify our results in the renormalization of supersymmetric QCD.

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