Non-perturbative tests of Heavy Quark Effective Theory
arXiv:hep-ph/0407227 · doi:10.1088/1126-6708/2004/11/048
Abstract
We consider QCD with one massless quark and one heavy quark in a finite volume of linear extent L_0 ~ 0.2 fm. In this situation, HQET represents an expansion in terms of 1/z=1/(m L_0), which we test by a non-perturbative computation of quenched current matrix elements and energies, taking the continuum limit of lattice results. These are seen to approach the corresponding renormalization group invariant matrix elements of the static effective theory as the quark mass becomes large. We are able to obtain estimates of the size of the 1/m-corrections to the static theory, which are also of practical relevance in our recent strategy to implement HQET non-perturbatively by matching to QCD in a finite volume.
arXiv comment28 pages including figures and tables, latex2e, uses JHEP3.cls; version published in JHEP, small additions and typos corrected, results unchanged
References in corpus (45)
- Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
- Heavy Quark Symmetry
- The four-loop beta-function in Quantum Chromodynamics
- Flavor Symmetry and the Static Potential with Hypercubic Blocking
- The 4-loop quark mass anomalous dimension and the invariant quark mass
- The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
- Non-perturbative O(a) improvement of lattice QCD
- Quark Mass Anomalous Dimension to alpha_s**4
- Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
- A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
- Non-perturbative quark mass renormalization in quenched lattice QCD
- On the Schroedinger functional in QCD
- Second Order Power Corrections in the Heavy Quark Effective Theory I. Formalism and Meson Form Factors
- Matching QCD and HQET heavy--light currents at two loops and beyond
- Two-loop renormalization of the effective field theory of a static quark
- Non-perturbatively Improved Heavy-Light Mesons: Masses and Decay Constants
- The CKM Matrix and the Unitarity Triangle
- One-loop renormalization of the QCD Schrödinger functional
- Three-loop anomalous dimension of the heavy-light quark current in HQET
- Decay Constants of B and D Mesons from Non-perturbatively Improved Lattice QCD
- B and D Meson Decay Constants in Lattice QCD
- Heavy quark physics from lattice QCD
- Determination of the Branching Fraction for B --> Xc l nu Decays and of |Vcb| from Hadronic-Mass and Lepton-Energy Moments
- Standard Model Matrix Elements for Neutral B-Meson Mixing and Associated Decay Constants
- Lattice Determination of Heavy-Light Decay Constants
- Non-perturbative results for the coefficients b_m and b_a-b_p in O(a) improved lattice QCD
- Two-Loop Anomalous Dimension of the Chromo-Magnetic Moment of a Heavy Quark
- Heavy quark masses in the continuum limit of quenched Lattice QCD
- Heavy--light decay constants in the continuum limit of quenched lattice QCD
- Decay constants of B and D mesons from improved relativistic lattice QCD with two flavours of sea quarks
- Renormalization and O(a)-improvement of the static-light axial current
- HQET chromomagnetic interaction at two loops
- Non-perturbative renormalization of the static axial current in quenched QCD
- Leptonic Decays of Heavy Quarks on the Lattice
- Reparameterization Invariance to all Orders in Heavy Quark Effective Theory
- Beauty Physics in Lattice Gauge Theory
- A strategy to compute the b-quark mass with non-perturbative accuracy
- Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces
- Effective heavy-light meson energies in small-volume quenched QCD
- Heavy Quark Effective Theory at one-loop order: An explicit example
- Renormalization of Heavy Quark Effective Field Theory: Quantum Action Principles and Equations of Motion
- Lattice results for the decay constant of heavy-light vector mesons
- Lectures on perturbative HQET 1
- Towards a precision computation of f_Bs in quenched QCD
- On the Renormalization of Heavy Quark Effective Field Theory
Cited by in corpus (15)
- Three-Loop Chromomagnetic Interaction in HQET
- A proposal for B-physics on current lattices
- Extraction of HQE parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses
- HQET at order 1/m: I. Non-perturbative parameters in the quenched approximation
- Non-perturbative improvement of quark mass renormalization in two-flavour lattice QCD
- Non-perturbative renormalization of the static axial current in two-flavour QCD
- HQET at order 1/m: III. Decay constants in the quenched approximation
- A one-loop study of matching conditions for static-light flavor currents
- Towards a non-perturbative matching of HQET and QCD with dynamical light quarks
- Non-perturbative quark mass dependence in the heavy-light sector of two-flavour QCD
- B-meson spectroscopy in HQET at order 1/m
- Charm sea effects on charmonium decay constants and heavy meson masses
- Non-perturbative Heavy Quark Effective Theory: An application to semi-leptonic B-decays
- Towards Precision B-physics from Non-Perturbative Heavy Quark Effective Theory
- Study of 1/m corrections in HQET