@article{08bfd7047cfc4a3d85f3fc0a1901f6a5,
title = "Gradient flow and scale setting on MILC HISQ ensembles",
abstract = "We report on a scale determination with gradient-flow techniques on the Nf=2+1+1 highly improved staggered quark ensembles generated by the MILC Collaboration. The ensembles include four lattice spacings, ranging from approximately 0.15 to 0.06 fm, and both physical and unphysical values of the quark masses. The scales t0/a and w0/a and their tree-level improvements, t0,imp and w0,imp, are computed on each ensemble using Symanzik flow and the cloverleaf definition of the energy density E. Using a combination of continuum chiral-perturbation theory and a Taylor-series ansatz for the lattice-spacing and strong-coupling dependence, the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses. We determine the scales t0=0.1416(+8-5) fm and w0=0.1714(+15-12) fm, where the errors are sums, in quadrature, of statistical and all systematic errors. The precision of w0 and t0 is comparable to or more precise than the best previous estimates, respectively. We then find the continuum mass dependence of t0 and w0, which will be useful for estimating the scales of new ensembles.",
author = "A. Bazavov and C. Bernard and N. Brown and J. Komijani and C. DeTar and J. Foley and L. Levkova and Steven Gottlieb and Heller, {U. M.} and J. Laiho and Sugar, {R. L.} and D. Toussaint and {Van De Water}, {R. S.}",
note = "Funding Information: Computations for this work were carried out with resources provided by the USQCD Collaboration, the Argonne Leadership Computing Facility, and the National Energy Research Scientific Computing Center, which are funded by the Office of Science of the U.S. Department of Energy; and with resources provided by the National Center for Atmospheric Research, the National Center for Supercomputing Applications, the National Institute for Computational Science, and the Texas Advanced Computing Center, which are funded through the National Science Foundations Teragrid/XSEDE Program; and with resources provided by the Blue Waters Computing Project, which is funded by NSF Grants No.OCI-0725070 and No.ACI-1238993 and the State of Illinois. This work is also part of the Lattice QCD on Blue Waters PRAC allocation supported by National Science Foundation Grant No.OCI-0832315. This work was supported in part by the U.S. Department of Energy under Grants No.DE-FG02-91ER40628 (C. B.; N. B.; J. K.), No.DE-FC02-12ER41879 (C. D.; J. F.; L. L.), No.DE-FG02-91ER40661 (S. G.), No.DE-SC0010120 (S. G.), No.DE-FG02-13ER-41976 (D. T.), by the National Science Foundation under Grants No.PHY-1067881 (C. D.; J. F.; L. L.), No.PHY-10034278 (C. D.), No.PHYS-1417805 (J. L.), and No.PHY-1316748 (R. S.). This manuscript has been coauthored by an employee of Brookhaven Science Associates, LLC, under Contract No.DE-AC02-98CH10886 with the U.S. Department of Energy. Fermilab is operated by Fermi Research Alliance, LLC, under Contract No.DE-AC02-07CH11359 with the U.S. Department of Energy. Publisher Copyright: {\textcopyright}. For long flow times, the autocorrelation length of E{\textcopyright} appears to be comparable to that of the topological charge. {\textcopyright} 2016 American Physical Society.",
year = "2016",
month = may,
day = "25",
doi = "10.1103/PhysRevD.93.094510",
language = "English (US)",
volume = "93",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "9",
}