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

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

2008-12-11

arxiv.org/abs/0812.2200v2

JHEP 0905:101,2009; Erratum-ibid.1101:036,2011

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1088/1126-6708/2009/05/101 10

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.

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