The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements

We calculate the unpolarized and polarized three–loop anomalous dimensions and splitting functions P$^{+}$$_{NS}$ P$^{-}$$_{NS}$ and P$^{S}$$_{NS}$ n QCD in the $\overline{MS}$ scheme by using the traditional method of space–like off shell massless operator matrix elements. This is a gauge–dependent framework. For the first time we also calculate the three–loop anomalous dimensions P$^{±; tr}$$_{NS}$ for transversity directly. We compare our results to the literature.