Two-loop renormalization of vector, axial-vector, and tensor fermion bilinears on the lattice
Date
2009ISSN
1550-7998Source
Physical Review D - Particles, Fields, Gravitation and CosmologyVolume
79Issue
9Google Scholar check
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We compute the two-loop renormalization functions, in the RI′ scheme, of local bilinear quark operators ψ̄Γψ, where Γ corresponds to the vector, axial-vector, and tensor Dirac operators, in the lattice formulation of QCD. We consider both the flavor nonsinglet and singlet operators. We use the clover action for fermions and the Wilson action for gluons. Our results are given as a polynomial in cSW, in terms of both the renormalized and bare coupling constant, in the renormalized Feynman gauge. Finally, we present our results in the MS̄ scheme, for easier comparison with calculations in the continuum. The corresponding results, for fermions in an arbitrary representation, together with some special features of superficially divergent integrals, are included in the appendices. © 2009 The American Physical Society.