Non-perturbative renormalization of the static axial current in quenched QCD

Abstract

We non-perturbatively calculate the scale dependence of the static axial current in the Schroedinger functional scheme by means of a recursive finite-size scaling technique, taking the continuum limit in each step. The bare current in the O(a) improved theory as well as in the original Wilson regularization is thus connected to the renormalization group invariant one. The latter may then be related to the current at the B-scale defined such that its matrix elements differ from the physical (QCD) ones by O(1/M). At present, a (probably small) perturbative uncertainty enters in this step. As an application, we renormalize existing unimproved data on F_B^{bare} and extrapolate to the continuum limit. We also study an interesting function h(d/L,u) derived from the Schroedinger functional amplitude describing the propagation of a static quark-antiquark pair.

arXiv comment34 pages, 12 postscript figures, 9 tables, latex2e; version published in Nucl. Phys. B, only 1 reference added

References in corpus (42)

• Heavy Quark Symmetry
• The four-loop beta-function in Quantum Chromodynamics
• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• On the Viability of Lattice Perturbation Theory
• Renormalons
• Chiral symmetry and O(a) improvement in lattice QCD
• 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
• A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
• Non-perturbative quark mass renormalization in quenched lattice QCD
• Precision computation of a low-energy reference scale in quenched lattice QCD
• On the Schroedinger functional in QCD
• O(a) improvement of the axial current in lattice QCD to one-loop order of perturbation theory
• Further results on O(a) improved lattice QCD to one-loop order of perturbation theory
• The Static Approximation of Heavy-Light Quark-Systems - A Systematic Lattice Study
• Computation of the Running Coupling in the SU(2) Yang-Mills Theory
• Two-loop renormalization of the effective field theory of a static quark
• Precision computation of the strange quark's mass in quenched QCD
• The running coupling from the QCD Schrödinger functional -- a one-loop analysis
• Two Loop Computation of the Schroedinger Functional in Lattice QCD
• A Lattice Computation of the Decay Constants of $B$ and $D$ Mesons
• A Parallel SSOR Preconditioner for Lattice QCD
• Properties of B-Mesons in Lattice QCD
• One-loop matching of lattice and continuum heavy-light axial vector currents using NRQCD
• Non-perturbative results for the coefficients b_m and b_a-b_p in O(a) improved lattice QCD
• A precise determination of the charm quark's mass in quenched QCD
• The running quark mass in the SF scheme and its two-loop anomalous dimension
• Renormalization and O(a)-improvement of the static-light axial current
• Heavy Quark Spectroscopy and Matrix Elements: A Lattice Study using the Static Approximation
• f_B and two scales problems in lattice QCD
• A High Statistics Lattice Calculation of $f_B^{static}$ at $\beta =6.2$ Using the Clover Action
• Beauty Physics in Lattice Gauge Theory
• A strategy to compute the b-quark mass with non-perturbative accuracy
• Heavy Quark Effective Theory at one-loop order: An explicit example
• Heavy Quark Physics and Lattice QCD
• Variational calculation of heavy-light meson properties
• The Leptonic Decay Constants of $\bar{Q}q$ Mesons and the Lattice Resolution
• Non-perturbative renormalization of HQET and QCD
• SSOR preconditioning in simulations of the QCD Schrödinger functional
• Non-perturbative determination of Z_A^{stat} in quenched QCD

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