## Domain wall QCD with physical quark masses

Research output: Contribution to journalArticle

• RBC
• UKQCD collaborations
• T. Blum
• N. H. Christ
• R. J. Hudspith
• T. Izubuchi
• T. Janowski
• C. Jung
• A. Juettner
• C. Kelly
• C. Lehner
• M. Marinkovic
• R. D. Mawhinney
• G. McGlynn
• D. J. Murphy
• S. Ohta
• C. T. Sachrajda
• A. Soni

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Original language English Physical Review D 10.1103/PhysRevD.93.074505 Published - 12 Apr 2016

### 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).

• hep-lat

ID: 31459435