Three loop anomalous dimension of the second moment of the transversity operator in the MSbar and RI' schemes
J. A. Gracey
Abstract
We compute the anomalous dimension of the second moment of the transversity operator, ψ σμν Dρψ, at three loops in both the MSbar and RI' schemes. As a check on the result we also determine the O(1/Nf) critical exponent of the n-th 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 MSbar. In addition the RI' anomalous dimension of the non-singlet twist-2 operator, ψ γμDνψ, is also determined.
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