RI'/SMOM scheme amplitudes for deep inelastic scattering operators at one loop in QCD

Abstract

We compute the amplitudes for the insertion of various operators in a quark 2-point function at one loop in the RI' symmetric momentum scheme, RI'/SMOM. Specifically we focus on the moments n = 2 and 3 of the flavour non-singlet twist-2 operators used in deep inelastic scattering as these are required for lattice computations.

27 latex pages, 1 figure, inconsistency in vector current renormalization and the corresponding W_2 and W_3 parts corrected as well as several typos

References in corpus (4)

• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the MSbar and RI' schemes

Cited by in corpus (3)

• Matching factors for Delta S=1 four-quark operators in RI/SMOM schemes
• 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