6533b85afe1ef96bd12b9880

RESEARCH PRODUCT

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

Mauro PapinuttoFilippo PalombiCarlos PenaHartmut Wittig

subject

PhysicsQuarkNuclear and High Energy PhysicsHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)Lattice field theoryFOS: Physical sciencesParticle Physics - LatticeLattice QCDFermionRenormalization groupRenormalizationHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - LatticeLattice (order)lattice gauge field theories; lattice qcd; lattice quantum field theoryNon-perturbativeMathematical physics

description

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.

yearjournalcountryeditionlanguage
2007-06-28
10.1088/1126-6708/2007/09/062http://arxiv.org/abs/0706.4153