Three loop anomalous dimension of the second moment of the transversity operator in the MS and RI′ schemes Original Research Article

We compute the anomalous dimension of the second moment of the transversity operator, ψ̄σμνDρψ, at three loops in both the MS and RI′ schemes. As a check on the result we also determine the O(1/Nf) critical exponent of the nth moment of the transversity operator in d dimensions in the large Nf expansion and determine leading order information on the n dependence of the anomalous dimension at three and four loops in MS. In addition the RI′ anomalous dimension of the non-singlet twist-2 operator, ψ̄γμDνψ, is also determined.