Off-forward anomalous dimensions of non-singlet transversity operators

Abstract

We determine the anomalous dimension matrix for the transversity operator mixing into total derivative operators in the limit of a large number of quark flavors $n_f$ to fourth order in the strong coupling ${\alpha }_s$ in the $\overline{\text{MS}}$-scheme. This is achieved by using a consistency relation between the operator anomalous dimensions, which follows from the renormalization structure of the operators in the chiral limit.

Comments: 15 pages, LaTeX; v2: minor corrections, references and new material added; v3: journal version