We perform a non-perturbative study of the scale-dependent renormalization factors of a multiplicatively renormalizable basis of ΔB=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 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. We compute non-perturbatively the relation between the renormalization group invariant operators and their counterparts renormalized in the SF at a low energy scale. Furthermore, we provide non-perturbative estimates for the matching between the lattice regularized theory and all the SF schemes considered.
@article{arxiv.0706.4153,
title = {Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD},
author = {Filippo Palombi and Mauro Papinutto and Carlos Pena and Hartmut Wittig},
journal= {arXiv preprint arXiv:0706.4153},
year = {2008}
}