Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the MSbar and RI' schemes

Abstract

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.

26 latex pages

References in corpus (1)

• Scaling of Nonperturbative Renormalization of Composite Operators with Overlap Fermions

Cited by in corpus (11)

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• Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
• Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Scheme-Independent Series for Anomalous Dimensions of Higher-Spin Operators at an Infrared Fixed Point in a Gauge Theory
• Three loop MSbar transversity operator anomalous dimensions for fixed moment n <= 8
• RI'/SMOM scheme amplitudes for deep inelastic scattering operators at one loop in QCD