Three loop anomalous dimension of non-singlet quark currents in the RI' scheme

Details Three loop anomalous dimension of non-singlet quark currents in the RI' scheme Three loop anomalous dimension of non-singlet quark currents in the RI' scheme

2003-04-11

arxiv.org/abs/hep-ph/0304113v1

Nucl.Phys. B662 (2003) 247-278

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 latex pages

Scientific paper

10.1016/S0550-3213(03)00335-3

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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