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

In view of the recent excitement about a tension between determinations of FDs 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 a2 only for a ∼< 0.08 fm. 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.