Scheme-independent series for anomalous dimensions of higher-spin operators at an infrared fixed point in a gauge theory

We consider an asymptotically free vectorial gauge theory, with gauge group G and Nf fermions in a representation R of G, having an infrared fixed point of the renormalization group. We calculate scheme-independent series expansions for the anomalous dimensions of higher-spin bilinear fermion operators at this infrared fixed point up to O(Δf3), where Δf is an Nf-dependent expansion variable. Our general results are evaluated for several special cases, including the case G=SU(Nc) with R equal to the fundamental and adjoint representations.