NLO anomalous dimension of multiplicatively renormalizable four-fermion   operators in Schroedinger Functional schemes
  Renormalization constants for multiplicatively renormalizable parity-odd four-fermion operators are computed in various different Schroedinger Functional (SF) schemes and lattice regularizations with Wilson quarks at one-loop order in perturbation theory. Our results are used in the calculation of their NLO anomalous dimensions, through matching to continuum schemes. They also enable a comparison of the two-loop perturbative RG running to the previously obtained nonperturbative one in the region of small renormalized coupling. 
Filippo Palombi, Carlos Pena and Stefan Sint