D and Dₛ decay constants in Nf=2+1 QCD with Wilson fermions

We present results for the leptonic decay constants of the D and Dₛ mesons from Nf=2+1 lattice QCD. We employ a set of 49 high statistics gauge ensembles generated by the Coordinated Lattice Simulations (CLS) effort utilising non-perturbatively improved Wilson fermions and the tree-level Symanzik improved gauge action at six values of the lattice spacing in the range $a = 0.098\,$fm down to $a = 0.039\,$fm, with pion masses varying from around $420\,$MeV down to below the physical point. The ensembles lie on three trajectories in the quark mass plane, two trajectories intersecting close to the physical quark mass point and the third one approaching the SU(3) chiral limit, enabling tight control of the light and strange quark mass dependence. We obtain fDₛ=246.8(1.3)\,MeV, fD=208.4(1.5)\,MeV and fDₛ/fD=1.1842(36), where the precision of our results is mostly limited by the determination of the scale.