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 Schrödinger 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. © SISSA 2007.
Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD / Filippo, Palombi; Papinutto, MAURO LUCIO; Carlos, Pena; Hartmut, Wittig. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1126-6708. - 2007:9(2007), pp. 062-062. [10.1088/1126-6708/2007/09/062]
Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD
PAPINUTTO, MAURO LUCIO;
2007
Abstract
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 Schrödinger 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. © SISSA 2007.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.