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arXiv · hep-ph/0306163

Three loop anomalous dimension of the second moment of the transversity operator in the MSbar and RI' schemes

J. A. Gracey
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Abstract

We compute the anomalous dimension of the second moment of the transversity operator, \barψ σ^{μν} D^ρψ, at three loops in both the MSbar and RI' schemes. As a check on the result we also determine the O(1/N_f) critical exponent of the n-th moment of the transversity operator in d-dimensions in the large N_f 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, \barψ γ^μD^νψ, is also determined.

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J. A. Gracey. 2003-06-20. Three loop anomalous dimension of the second moment of the transversity operator in the MSbar and RI' schemes. https://doi.org/10.1016/s0550-3213(03)00543-1

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