Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-06-28
JHEP0709:062,2007
Physics
High Energy Physics
High Energy Physics - Lattice
33 pages, 7 figures
Scientific paper
10.1088/1126-6708/2007/09/062
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. 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.
Palombi Filippo
Papinutto Mauro
Pena Carlos
Wittig Hartmut
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