Perturbative renormalization factors and O(a^2) corrections for lattice 4-fermion operators with improved fermion/gluon actions

Understand

In this work we calculate the corrections to the amputated Green's functions of 4-fermion operators, in 1-loop Lattice Perturbation theory.

• One of the novel aspects of our calculations is that they are carried out to O(a^2) (a: lattice spacing).
• We employ the Wilson/clover action for massless fermions (also applicable for the twisted mass action in the chiral limit) and a family of Symanzik improved actions for gluons.
• Our calculations have been carried out in a general covariant gauge.