Implications of N=1 supersymmetry for QCD conformal operators

Details Implications of N=1 supersymmetry for QCD conformal operators Implications of N=1 supersymmetry for QCD conformal operators

1998-11-26

arxiv.org/abs/hep-ph/9811484v1

Phys.Lett. B450 (1999) 126-135

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTeX, 1 figure

Scientific paper

10.1016/S0370-2693(99)00146-X

We prove a set of identities for the anomalous dimensions of the quark and gluon conformal operators in the flavour singlet channel in QCD. These relations arise from the graded commutator algebra of the N=1 superconformal group. We evaluate the rotation matrices for the quantities under study from the conventional dimensional regularization to the supersymmetry preserving regularization scheme. Using them we verify the equalities in two-loop approximation employing the results for the NLO anomalous dimensions of the conformal operators in the minimal subtraction scheme derived earlier.

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