Symanzik flow on HISQ ensembles

Understand

We report on a scale determination with gradient-flow techniques on the $N_f = 2 + 1 + 1$ HISQ ensembles generated by the MILC collaboration.

• The lattice scale $w_0/a$, originally proposed by the BMW collaboration, is computed using Symanzik flow at four lattice spacings ranging from 0.15 to 0.06 fm.
• With a Taylor series ansatz, the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses.
• We give a preliminary determination of the scale $w_0$ in physical units, along with associated systematic errors, and compare with results from other groups.