Anomalous dimensions of twist-2 conformal operators in supersymmetric Wess-Zumino model

Abstract

We are studying scale properties of twist-2 conformal operators in supersymmetric Wess-Zumino model. In particular, we are interested in a construction of multiplicatively renormalized conformal operators. We show, that in order to find multiplicatively renormalized operators in this model, it is sufficient to find multiplicatively renormalized operators only for one member of operator supermultiplet. We found a closed analytical solution for fermionic conformal operator, which together with supersymmetry transformations could be used to find remained multiplicatively renormalized bosonic operators. Moreover, we found, that the knowledge of fermionic diagonal and non-diagonal anomalous dimensions matrices allows us completely reconstruct the forward anomalous dimensions matrix in singlet case.

arXiv commentLaTeX file, 37 pages, uses axodraw.sty

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• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• Parton interaction in super Yang Mills theory
• Nonforward anomalous dimensions of Wilson operators in N=4 super-Yang-Mills theory