Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the bar Mbar S and RI′ schemes

John A Gracey
2006 Journal of High Energy Physics  
We compute the anomalous dimension of the third and fourth moments of the flavour non-singlet twist-2 Wilson and transversity operators at three loops in both the MSbar and RI' schemes. To assist with the extraction of estimates of matrix elements computed using lattice regularization, the finite parts of the Green's function where the operator is inserted in a quark 2-point function are also provided at three loops in both schemes.
doi:10.1088/1126-6708/2006/10/040 fatcat:yomd7obc3veqvl5o3jf7slv5ca