Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice

Understand

We compute the two-loop renormalization functions, in the RI' scheme, of local bilinear quark operators $\bar{\psi}\Gamma\psi$, where $\Gamma$ 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 $c_{SW}$, in terms of both the renormalized and bare coupling constant, in the renormalized Feynman gauge.