Regularization and supersymmetry-restoring counterterms in supersymmetric QCD
Abstract
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 counterterms 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.
Keywords
Cite
@article{arxiv.hep-ph/0103009,
title = {Regularization and supersymmetry-restoring counterterms in supersymmetric QCD},
author = {W. Hollik and D. Stöckinger},
journal= {arXiv preprint arXiv:hep-ph/0103009},
year = {2009}
}
Comments
15 pages, 9 figures, uses svjour.cls and svepj.clo, references added, accepted for publication in Eur.Phys.J.C