Gradient Flow Analysis on MILC HISQ Ensembles
- Washington U., St. Louis
- Brookhaven
- Utah U.
- Indiana U.
- APS, New York
- U. Pacific, Stockton
- Syracuse U.
- UC, Santa Barbara
- Arizona U.
- Fermilab
We report on a preliminary scale determination with gradient-flow techniques on the $$N_f = 2 + 1 + 1$$ 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 $$\sqrt{t_0}/a$$ and $$w_0/a$$ are computed using Symanzik flow and the cloverleaf definition of $$\langle E \rangle$$ on each ensemble. Then both scales and the meson masses $$aM_\pi$$ and $$aM_K$$ 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 $$\sqrt{t_0} = 0.1422(7)$$fm and $$w_0 = 0.1732(10)$$fm. We also find the continuum mass-dependence of $$w_0$$.
- Research Organization:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Contributing Organization:
- MILC
- DOE Contract Number:
- AC02-07CH11359
- OSTI ID:
- 1329227
- Report Number(s):
- arXiv:1411.0068; FERMILAB-CONF-14-574-T; 1325810
- Journal Information:
- PoS, Vol. LATTICE2014; Conference: 32nd International Symposium on Lattice Field Theory, Brookhaven, NY, USA, 06/23-06/28/2014
- Country of Publication:
- United States
- Language:
- English
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