Anomalous dimension of gluonic operator in polarized deep inelastic scattering at O(1/N-f)

Abstract

We compute the O(1/N-f) correction to the predominantly gluonic flavour singlet twist-2 anomalous dimension used in polarized deep inelastic scattering. It is consistent with known two loop perturbation theory and we determine the three loop contribution at O(1/N-f). The treatment of the epsilon-tensor in the large N-f d-dimensional critical point formalism is also discussed.