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Particles and Fields

Eur. Phys. J. C 20, 105-119
DOI: 10.1007/s100520100651

Regularization and supersymmetry-restoring counterterms in supersymmetric QCD

W. Hollik and D. Stöckinger

Institut für Theoretische Physik, Universität Karlsruhe, 76128 Karlsruhe, Germany

(Received: 1 March 2001 / Published online: 25 April 2001 -© Springer-Verlag 2001 / Società Italiana di Fisica 2001 )

We calculate symmetry-restoring counterterms in supersymmetric QCD at the one-loop level. First we determine loop corrections to the supersymmetry and gauge transformations and find counter terms in such a way that the symmetry algebra holds at the one-loop level. Then these results are used to derive the symmetry-restoring counterterms to all trilinear interactions. In order to obtain unique results it is crucial to use the Slavnov-Taylor identity, which does not only contain supersymmetric and gauge Ward identities but also describes the symmetry algebra. In dimensional regularization this procedure yields unique non-zero values for the counterterms. In contrast, in dimensional reduction we find that no non-symmetric counterterms are needed, neither for the symmetry transformations nor for the physical interactions. For the considered cases this result constitutes a definite test of the supersymmetry and gauge invariance of the scheme.

© Società Italiana di Fisica, Springer-Verlag 2001