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

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

2003-06-18

arxiv.org/abs/hep-ph/0306163v2

Nucl.Phys. B667 (2003) 242-260

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 latex pages; additional reference included

Scientific paper

10.1016/S0550-3213(03)00543-1

We compute the anomalous dimension of the second moment of the transversity operator, \bar{\psi} \sigma^{\mu\nu} D^\rho \psi, 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, \bar{\psi} \gamma^\mu D^\nu \psi, is also determined.

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