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.

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

References in corpus (4)

• The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
• Three loop anomalous dimension of the non-singlet transversity operator in QCD
• ERBL and DGLAP kernels for transversity distributions. Two-loop calculations in covariant gauge
• Renormalization of non-singlet quark operator matrix elements for off-forward hard scattering