Heavy quark masses in the continuum limit of quenched Lattice QCD

Abstract

We compute charm and bottom quark masses in the quenched approximation and in the continuum limit of lattice QCD. We make use of a step scaling method, previously introduced to deal with two scale problems, that allows to take the continuum limit of the lattice data. We determine the RGI quark masses and make the connection to the MSbar scheme. The continuum extrapolation gives us a value m_b^{RGI} = 6.73(16) GeV for the b-quark and m_c^{RGI} = 1.681(36) GeV for the c-quark, corresponding respectively to m_b^{MSbar}(m_b^{MSbar}) = 4.33(10) GeV and m_c^{MSbar}(m_c^{MSbar}) = 1.319(28) GeV. The latter result, in agreement with current estimates, is for us a check of the method. Using our results on the heavy quark masses we compute the mass of the Bc meson, M_{Bc} = 6.46(15) GeV.

29 pages, 9 figures, version accepted for publication in Nucl. Phys. B

References in corpus (2)

• A precise determination of the charm quark's mass in quenched QCD
• The lattice scale at large beta in quenched QCD

Cited by in corpus (35)

• The Muon g-2
• Chirally improving Wilson fermions - I. O(a) improvement
• Heavy Quark Masses from Sum Rules in Four-Loop Approximation
• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Precision measurements of sigma_hadronic for alpha_eff(E) at ILC energies and (g-2)_mu
• The running fine structure constant alpha(E) via the Adler function
• A proposal for B-physics on current lattices
• Recent results from lattice calculations
• Quenched lattice calculation of the B --> D l nu decay rate
• Charm Quark Mass from Inclusive Semileptonic B Decays
• Heavy Quark Effective Theory computation of the mass of the bottom quark
• Charm as a domain wall fermion in quenched lattice QCD
• Calculation of binding energies and masses of quarkonia in analytic QCD models
• Quenched lattice calculation of semileptonic heavy-light meson form factors
• Non-perturbative tests of Heavy Quark Effective Theory
• The b-quark mass from non-perturbative $N_f=2$ Heavy Quark Effective Theory at $O(1/m_h)$
• Quenched lattice calculation of the vector channel B --> D* l nu decay rate
• Lattice QCD at the end of 2003
• Effective heavy-light meson energies in small-volume quenched QCD
• Vacuum correlators at short distances from lattice QCD
• Precision for B-meson matrix elements
• Conventional and Hybrid $B_c$ Mesons in an Extended Potential Model
• Precision study of B^* Bπcoupling for the static heavy-light meson
• On the matrix elements of dB=0 operators in the heavy meson decay widths
• Recent Progress in Lattice QCD
• Non-perturbative renormalization of the static vector current and its O(a)-improvement in quenched QCD
• Physics impact of ILC Higgs coupling measurements: the effect of theory uncertainties
• The Nf=2 residual mass in Perturbative Lattice-HQET for an improved determination of the (MS bar) b-quark mass
• Properties of Bc Mesons and Variational Constraints on their Masses
• Heavy quark masses from lattice QCD
• Status of heavy quark physics from the lattice
• Semileptonic decays of heavy-light pseudoscalar mesons
• The n_f=2 residual mass in lattice HQET to alpha^3 order
• Heavy quark masses from finite volume effects
• The effect of sea quarks on the mass of the charm quark from Lattice QCD