Gradient flow analysis on MILC HISQ ensembles

MILC Collaboration

Research output: Contribution to journalArticle

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Abstract

We report on a preliminary scale determination with gradient-flow techniques on the Nf = 2+1 + 1 HISQ ensembles generated by the MILC collaboration. The ensembles include four lattice spacings, ranging from 0.15 to 0.06 fm, and both physical and unphysical values of the quark masses. The scales √t0/a and w0/a are computed using Symanzik flow and the cloverleaf definition of (E) on each ensemble. Then both scales and the meson masses aMπ and aMK are adjusted for mistunings in the charm mass. Using a combination of continuum chiral perturbation theory and a Taylor series ansatz in the lattice spacing, the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses. Our preliminary results are √t0 = 0.1422(7) fm and w0 = 0.1732(10) fm. We also find the continuum mass-dependence of w0.

Original languageEnglish (US)
Article number090
JournalProceedings of Science
VolumePart F130500
StatePublished - 2014

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gradients
continuums
spacing
quarks
Taylor series
mesons
perturbation theory

ASJC Scopus subject areas

  • General

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MILC Collaboration (2014). Gradient flow analysis on MILC HISQ ensembles. Proceedings of Science, Part F130500, [090].

Gradient flow analysis on MILC HISQ ensembles. / MILC Collaboration.

In: Proceedings of Science, Vol. Part F130500, 090, 2014.

Research output: Contribution to journalArticle

MILC Collaboration 2014, 'Gradient flow analysis on MILC HISQ ensembles', Proceedings of Science, vol. Part F130500, 090.
MILC Collaboration. Gradient flow analysis on MILC HISQ ensembles. Proceedings of Science. 2014;Part F130500. 090.
MILC Collaboration. / Gradient flow analysis on MILC HISQ ensembles. In: Proceedings of Science. 2014 ; Vol. Part F130500.
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abstract = "We report on a preliminary scale determination with gradient-flow techniques on the Nf = 2+1 + 1 HISQ ensembles generated by the MILC collaboration. The ensembles include four lattice spacings, ranging from 0.15 to 0.06 fm, and both physical and unphysical values of the quark masses. The scales √t0/a and w0/a are computed using Symanzik flow and the cloverleaf definition of (E) on each ensemble. Then both scales and the meson masses aMπ and aMK are adjusted for mistunings in the charm mass. Using a combination of continuum chiral perturbation theory and a Taylor series ansatz in the lattice spacing, the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses. Our preliminary results are √t0 = 0.1422(7) fm and w0 = 0.1732(10) fm. We also find the continuum mass-dependence of w0.",
author = "{MILC Collaboration} and A. Bazavov and C. Bernard and N. Brown and C. Detar and J. Foley and Steven Gottlieb and Heller, {U. M.} and Hetrick, {J. E.} and J. Komijani and J. Laiho and L. Levkova and M. Oktay and Sugar, {R. L.} and Toussaint, {William D} and {Van De Water}, {R. S.} and R. Zhou",
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AU - MILC Collaboration

AU - Bazavov, A.

AU - Bernard, C.

AU - Brown, N.

AU - Detar, C.

AU - Foley, J.

AU - Gottlieb, Steven

AU - Heller, U. M.

AU - Hetrick, J. E.

AU - Komijani, J.

AU - Laiho, J.

AU - Levkova, L.

AU - Oktay, M.

AU - Sugar, R. L.

AU - Toussaint, William D

AU - Van De Water, R. S.

AU - Zhou, R.

PY - 2014

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N2 - We report on a preliminary scale determination with gradient-flow techniques on the Nf = 2+1 + 1 HISQ ensembles generated by the MILC collaboration. The ensembles include four lattice spacings, ranging from 0.15 to 0.06 fm, and both physical and unphysical values of the quark masses. The scales √t0/a and w0/a are computed using Symanzik flow and the cloverleaf definition of (E) on each ensemble. Then both scales and the meson masses aMπ and aMK are adjusted for mistunings in the charm mass. Using a combination of continuum chiral perturbation theory and a Taylor series ansatz in the lattice spacing, the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses. Our preliminary results are √t0 = 0.1422(7) fm and w0 = 0.1732(10) fm. We also find the continuum mass-dependence of w0.

AB - We report on a preliminary scale determination with gradient-flow techniques on the Nf = 2+1 + 1 HISQ ensembles generated by the MILC collaboration. The ensembles include four lattice spacings, ranging from 0.15 to 0.06 fm, and both physical and unphysical values of the quark masses. The scales √t0/a and w0/a are computed using Symanzik flow and the cloverleaf definition of (E) on each ensemble. Then both scales and the meson masses aMπ and aMK are adjusted for mistunings in the charm mass. Using a combination of continuum chiral perturbation theory and a Taylor series ansatz in the lattice spacing, the results are simultaneously extrapolated to the continuum and interpolated to physical quark masses. Our preliminary results are √t0 = 0.1422(7) fm and w0 = 0.1732(10) fm. We also find the continuum mass-dependence of w0.

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