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Symanzik flow on HISQ ensembles

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arxiv 1311.1474 v1 pith:LOMDXKF2 submitted 2013-11-06 hep-lat

Symanzik flow on HISQ ensembles

classification hep-lat
keywords ensemblesscalecollaborationdeterminationflowhisqlatticephysical
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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. We also present a first estimate of autocorrelation lengths as a function of flowtime for these ensembles.

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