Lattice cutoff effects for F_Ds with improved Wilson fermions - a final lesson from the quenched case

Abstract

In view of the recent excitement about a tension between determinations of f_Ds from experiment and from simulations of lattice QCD with dynamical quarks, we try to clear up the picture of lattice determinations in the continuum limit of the quenched approximation. For O(a) improved Wilson quarks we see linear scaling in the squared lattice spacing a^2 only for a<~0.08fm. For coarser lattices we observe significant contaminations from higher order cutoff effects. As an aside we also study the scaling of the charm quark mass and the ratio of the vector to the pseudo-scalar decay constant and the spin-splitting.

13 pages, 4 figures, Table 2 and table 4 (revised analysis for mass-splitting) corrected

References in corpus (11)

• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Accumulating evidence for nonstandard leptonic decays of D_s mesons
• QCD with light Wilson quarks on fine lattices (I): first experiences and physics results
• QCD with light Wilson quarks on fine lattices (II): DD-HMC simulations and data analysis
• Measurement of the Decay Constant $f_D{}_S^{+}$ using $D_S^+ --> ell^+ nu
• Decay Constants of Charged Pseudoscalar Mesons
• Measurement of the Absolute Branching Fraction of D_s^+ --> tau^+ nu_tau Decay
• Decay constants of charm and beauty pseudoscalar heavy-light mesons on fine lattices
• Measurement of the Absolute Branching Fraction of D0 --> K- pi+
• $D_s$ physics from fine lattices
• Standard Model parameters and heavy quarks on the lattice

Cited by in corpus (6)

• Critical slowing down and error analysis in lattice QCD simulations
• 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
• Upper bounds on $f_D$ and $f_{D_s}$ from two-point correlation function in QCD
• Determination of the charm quark mass in lattice QCD with $2+1$ flavours on fine lattices
• Charm quark mass and D-meson decay constants from two-flavour lattice QCD