Blum, T., Boyle, P.A., Christ, N.H., Frison, J., Garron, N., Hudspith, R.J., Izubuchi, T., Janowski, T., Jung, C., Jüttner, A., Kelly, C., Kenway, R.D., Lehner, C., Marinkovic, M., Mawhinney, R.D., McGlynn, G., Murphy, D.J., Ohta, S., Portelli, A., Sachrajda, C.T. and Soni, A. (2016) Domain wall QCD with physical quark masses. Physical Review D, 93 (7), 1-68. (doi:10.1103/PhysRevD.93.074505).
Abstract
We present results for several light hadronic quantities (fπ, fK, BK, mud, ms, t0½, w0) obtained from simulations of 2+1 flavor domain wall lattice QCD with large physical volumes and nearly physical pion masses at two lattice spacings. We perform a short, O (3) %, extrapolation in pion mass to the physical values by combining our new data in a simultaneous chiral/continuum “global fit” with a number of other ensembles with heavier pion masses. We use the physical values of mπ, mK and mΩ to determine the two quark masses and the scale—all other quantities are outputs from our simulations. We obtain results with subpercent statistical errors and negligible chiral and finite-volume systematics for these light hadronic quantities, including fπ = 130.2(9) MeV; fK = 155.5(8) MeV; the average up/down quark mass and strange quark mass in the ‾MS scheme at 3 GeV, 2.997(49) and 81.64(1.17) MeV respectively; and the neutral kaon mixing parameter, BK, in the renormalization group invariant scheme, 0.750(15) and the ‾MS scheme at 3 GeV, 0.530(11).
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