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arXiv · 1411.7017

Domain wall QCD with physical quark masses

RBC·UKQCD collaborations·:·T. Blum·P. A. Boyle·N. H. Christ·J. Frison·N. Garron·R. J. Hudspith·T. Izubuchi·T. Janowski·C. Jung·A. Juettner·C. Kelly·R. D. Kenway·C. Lehner·M. Marinkovic·R. D. Mawhinney·G. McGlynn·D. J. Murphy·S. Ohta·A. Portelli·C. T. Sachrajda·A. Soni
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Abstract

We present results for several light hadronic quantities ($f_\pi$, $f_K$, $B_K$, $m_{ud}$, $m_s$, $t_0^{1/2}$, $w_0$) 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 $m_\pi$, $m_K$ and $m_\Omega$ to determine the two quark masses and the scale - all other quantities are outputs from our simulations. We obtain results with sub-percent statistical errors and negligible chiral and finite-volume systematics for these light hadronic quantities, including: $f_\pi$ = 130.2(9) MeV; $f_K$ = 155.5(8) MeV; the average up/down quark mass and strange quark mass in the $\bar {\rm MS}$ scheme at 3 GeV, 2.997(49) and 81.64(1.17) MeV respectively; and the neutral kaon mixing parameter, $B_K$, in the RGI scheme, 0.750(15) and the $\bar{\rm MS}$ scheme at 3 GeV, 0.530(11).

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RBC, UKQCD collaborations, :, T. Blum, P. A. Boyle, N. H. Christ, J. Frison, N. Garron, R. J. Hudspith, T. Izubuchi, T. Janowski, C. Jung, A. Juettner, C. Kelly, R. D. Kenway, C. Lehner, M. Marinkovic, R. D. Mawhinney, G. McGlynn, D. J. Murphy, S. Ohta, A. Portelli, C. T. Sachrajda, A. Soni. 2014-11-25. Domain wall QCD with physical quark masses. https://doi.org/10.1103/physrevd.93.074505

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