Effective heavy-light meson energies in small-volume quenched QCD

Abstract

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 recently been presented as an application of a new proposal to non-perturbatively renormalize the Heavy Quark Effective Theory. The renormalization constant and the improvement coefficients relating the renormalized current and subtracted quark mass are determined in the relevant parameter region at weak couplings, which allows to perform the numerical simulations at several, precisely fixed values of the renormalization group invariant heavy quark mass in a range from 3 GeV to 15 GeV.

arXiv comment24 pages including figures and tables, latex2e; version published in JHEP, small additions, results unchanged

References in corpus (31)

• 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
• Chiral symmetry and O(a) improvement in lattice QCD
• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
• Non-perturbative O(a) improvement of lattice QCD
• The Nf=0 heavy quark potential from short to intermediate distances
• A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
• Non-perturbative quark mass renormalization in quenched lattice QCD
• Non-perturbative determination of the axial current normalization constant in O(a) improved lattice QCD
• Precision computation of a low-energy reference scale in quenched lattice QCD
• On the Schroedinger functional in QCD
• Further results on O(a) improved lattice QCD to one-loop order of perturbation theory
• Precision computation of the strange quark's mass in quenched QCD
• Two Loop Computation of the Schroedinger Functional in Lattice QCD
• First results on the running coupling in QCD with two massless flavours
• Heavy quark physics from lattice QCD
• Order a improved renormalization constants
• Non-perturbative results for the coefficients b_m and b_a-b_p in O(a) improved lattice QCD
• Computation of the b-quark Mass with Perturbative Matching at the Next-to-Next-to-Leading Order
• Heavy quark masses in the continuum limit of quenched Lattice QCD
• Non-perturbative O(a) improvement of the vector current
• Non-perturbative renormalization constants on the lattice from flavour non-singlet Ward identities
• Heavy--light decay constants in the continuum limit of quenched lattice QCD
• Perturbative expansions from Monte Carlo simulations at weak coupling: Wilson loops and the static-quark self-energy
• Non-perturbative renormalization of the static axial current in quenched QCD
• The residual mass in Lattice Heavy Quark Effective Theory to alpha^3 order
• 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
• The lattice scale at large beta in quenched QCD
• Scaling investigation of renormalized correlation functions in O(a) improved quenched lattice QCD
• B Decays at BABAR

Cited by in corpus (13)

• Non-perturbative Heavy Quark Effective Theory
• 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
• Parameters of Heavy Quark Effective Theory from Nf=2 lattice QCD
• Non-perturbative renormalization of the static axial current in two-flavour QCD
• Non-perturbative tests of Heavy Quark Effective Theory
• Quenched lattice calculation of the vector channel B --> D* l nu decay rate
• Non-perturbative determination of improvement coefficients b_m and b_A-b_P and normalisation factor Z_m*Z_P/Z_A with N_f=3 Wilson fermions
• Determination of the charm quark mass in lattice QCD with $2+1$ flavours on fine lattices
• The continuum limit of the quark mass step scaling function in quenched lattice QCD
• Towards a non-perturbative matching of HQET and QCD with dynamical light quarks
• One-loop lattice artifacts of a dynamical charm quark
• Study of 1/m corrections in HQET