Non-perturbative renormalization of static-light four-fermion operators in quenched lattice QCD LPHA
نویسندگان
چکیده
We perform a non-perturbative study of the scale-dependent renormalization factors of a multiplicatively renormalizable basis of ∆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 nonperturbatively 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.
منابع مشابه
Non-perturbative renormalization of the static vector current and its O(a)-improvement in quenched QCD LPHA
We carry out the renormalization and the Symanzik O(a)-improvement programme for the static vector current in quenched lattice QCD. The scale independent ratio of the renormalization constants of the static vector and axial currents is obtained non-perturbatively from an axial Ward identity with Wilson-type light quarks and various lattice discretizations of the static action. The improvement c...
متن کاملNon-perturbative renormalization of four-quark operators and BK with Schrödinger functional scheme in quenched domain-wall QCD
We present non-perturbative renormalization factors for ∆S = 2 four-quark operators in quenched domain-wall QCD using the Schrödinger functional method. Non-perturbative renormalization factor for BK is evaluated at hadronic scale. Combined with the non-perturbative RG running obtained by the Alpha collaboration, our result yields renormalization factor which converts lattice bare BK to the ren...
متن کاملEffective heavy - light meson energies in small - volume quenched QCD LPHA
We study effective energies of heavy-light meson correlation functions in lattice QCD and a small volume of (0.2 fm)4 to non-perturbatively calculate their dependence on the heavy quark mass in the continuum limit. Our quenched results obtained here constitute an essential intermediate step of a first fully non-perturbative computation of the b-quark’s mass in the static approximation that has ...
متن کاملNew Results From Lattice QCD: Non–Perturbative Renormalization and Quark Masses
For the first time, we compute non–perturbatively, i.e. without lattice perturbation theory, the renormalization constants of two–fermion operators in the quenched approximation at β = 6.0, 6.2 and 6.4 using the Wilson and the tree–level improved SW–Clover actions. We apply these renormalization constants to fully non–perturbatively estimate quark masses in the MS scheme from lattice simulation...
متن کاملA perturbative study of two four - quark operators in finite volume renormalization schemes LPHA
Starting from the QCD Schrödinger functional (SF), we define a family of renormalization schemes for two four-quark operators, which are, in the chiral limit, protected against mixing with other operators. With the appropriate flavour assignments these operators can be interpreted as part of either the ∆F = 1 or ∆F = 2 effective weak Hamiltonians. In view of lattice QCD with Wilson-type quarks,...
متن کامل