Extends the RI/SMOM scheme to semi-leptonic operators via Ward-identity-protected vector currents and demonstrates equivalence to the Gorbahn et al. 2023 projectors for Wilson coefficient calculations.
Three loop anomalous dimension of non-singlet quark currents in the RI' scheme
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abstract
We renormalize QCD at three loops in the modified regularization invariant, RI', scheme in arbitrary covariant gauge and deduce that the four loop beta-function is equivalent to the MSbar result. The anomalous dimensions of the scalar, vector and tensor currents are then determined in the RI' scheme at three loops by considering the insertion of the operator in a quark two-point function. The expression for the scalar current agrees with the quark mass anomalous dimension and we deduce an expression for the four loop RI' mass anomalous dimension in arbitrary covariant gauge and for any Lie group.
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hep-lat 1years
2026 1verdicts
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A note on momentum subtraction schemes for quark bilinears and semileptonic operators
Extends the RI/SMOM scheme to semi-leptonic operators via Ward-identity-protected vector currents and demonstrates equivalence to the Gorbahn et al. 2023 projectors for Wilson coefficient calculations.