Speaker
Description
We present the latest determination of the gradient flow scale $w_{0}$ from the BMW Collaboration. The value of $w_{0}$ is determined from the pion decay constant $f_{\pi}$ using QCD ensembles with tree-level improved Lüscher-Weisz gauge action and N$_{f}$=2+1+1 4stout staggered quarks at the physical point. We use multiple lattice spacings, ranging from $0.11$ to $0.048$ fm, to extrapolate to the continuum limit. In addition, we employ two lattice definitions of the gradient flow, the Wilson flow and the improved version, the Zeuthen flow, to have more control over cutoff effects. To check for finite volume effects, we simulate different finite boxes. Isospin-breaking corrections are computed from first principles and included in the final result.