Application of heavy-quark effective theory to lattice QCD: I. Power Corrections
نویسنده
چکیده
Heavy-quark effective theory (HQET) is applied to lattice QCD with Wilson fermions at fixed lattice spacing a. This description is possible because heavy-quark symmetries are respected. It is desirable because the ultraviolet cutoff 1/a in current numerical work and the heavy-quark mass mQ are comparable. Effects of both short distances a and 1/mQ are captured fully into coefficient functions, which multiply the operators of the usual HQET. Standard tools of HQET are used to develop heavy-quark expansions of lattice observables and, thus, to propagate heavy-quark discretization errors. Three explicit examples are given: namely, the mass, decay constant, and semileptonic form factors of heavy-light mesons. PACS numbers: 12.38.Gc, 12.39.Hg, 13.20.-v Typeset using REVTEX
منابع مشابه
Introduction to the Heavy Quark Effective Theory
Heavy Quark Effective Theory (HQET) is a new approach to QCD problems involving a heavy quark. In the leading approximation, the heavy quark is considered as a static source of the gluon field; 1/m corrections can be systematically included in the perturbation theory. New symmetry properties not apparent in QCD appear in HQET. They are used, in particular, to obtain relations among heavy hadron...
متن کامل0 v 1 2 8 Ju l 1 99 7 Potential regime for heavy quarks dynamics and Lorentz nature of confinement
Propagation of the heavy quark in the field of a static antiquark source is studied in the framework of effective Dirac equation. The model of QCD vacuum is described by bilocal gluonic correlators. In the heavy quark limit the effective interaction is reduced to the potential one with 5/6 Lorentz scalar and 1/6 Lorentz vector linear confinement, while spin–orbit term is in agreement with Eicht...
متن کاملRecent lattice results relevant for heavy ion collisions ∗
Lattice QCD provides us with the most systematic way to calculate non-perturbative hadronic quantities directly from the first principles of QCD, without resorting to models and effective theories. Because a simulation of the fully realistic case is still difficult, we have to carry out several extrapolations to extract physical quantities of phenomenological relevance. These include the contin...
متن کاملThe Heavy Quark Self-Energy in Nonrelativistic Lattice QCD
_ The heavy quark-self-energy in nonrelativistic lattice QCD is calculated to O(cx,) in perturbation theory. An action which includes all spin-independent relativistic corrections to order v2, where v is the typical heavy quark velocity, and all @n-dependent corrections to order v4 is used. The standard Wilson action and . _ an improved multi-plaquette action are used for the gluons. Results fo...
متن کاملLattice and renormalons in heavy quark physics
Perturbative expansions of QCD observables in powers of αs are believed to be asymptotic and non-Borel summable due to the existence of singularities in the Borel plane (renormalons). This fact is connected with the factorization of scales (which is inherent to QCD and asymptotic freedom) and jeopardizes the convergence of the perturbative expansion and the accurate determination of power-suppr...
متن کامل