Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD

Understand

We perform a non-perturbative study of the scale-dependent renormalization factors of a multiplicatively renormalizable basis of $\Delta{B}=2$ parity-odd four-fermion operators in quenched lattice QCD.

• Heavy quarks are treated in the static approximation with various lattice discretizations of the static action.
• Light quarks are described by non-perturbatively ${\rm O}(a)$ improved Wilson-type fermions.
• The renormalization group running is computed for a family of Schroedinger functional (SF) schemes through finite volume techniques in the continuum limit.