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.

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Cited by in corpus (18)

• The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_2(x,Q^2)$ and Transversity
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• The O(α_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity
• Up, down, and strange nucleon axial form factors from lattice QCD
• Perturbative and Nonperturbative Renormalization in Lattice QCD
• $⟨x⟩$ and $⟨x^2⟩$ of the pion PDF from Lattice QCD with $N_f=2+1+1$ dynamical quark flavours
• $O({\alpha }_s^2)$ and $O({\alpha }_s^3)$ Heavy Flavor Contributions to Transversity at $Q^2\gg m^2$
• RI'/SMOM scheme amplitudes for quark currents at two loops
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• Three loop MSbar operator correlation functions for deep inelastic scattering in the chiral limit
• Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
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• 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
• The 16th moment of the three loop anomalous dimension of the non-singlet transversity operator in QCD
• RI'/SMOM scheme amplitudes for deep inelastic scattering operators at one loop in QCD