Abstract
We complete the non-perturbative calculations of the strange quark mass and the Lambda parameter in two flavor QCD by the ALPHA Collaboration. The missing lattice scale is determined via the kaon decay constant, for whose chiral extrapolation complementary strategies are compared. We also give a value for the scale r0 in physical units as well as an improved determination of the renormalization constant ZA.
Highlights
The parameters of the standard model of particle physics have to be determined by matching theory to experimental data
We complete the non-perturbative calculations of the strange quark mass and the Lambda parameter in two flavor QCD by the ALPHA collaboration
We apply the above formulae to a determination of the kaon decay constant and the strange quark mass
Summary
The parameters of the standard model of particle physics have to be determined by matching theory to experimental data. In the two flavor theory for Λ [4, 5] and the strange quark mass [6], the determination of the lattice scale, which allows for their conversion to physical units, has been lacking. This determination is the subject of the present paper. The renormalization constants ZA and ZP are discussed in App. B and App. C, the hadronic scale L1 of the Schrödinger functional calculations is subject of App. D, followed by a determination of the critical mass of the improved Wilson fermions and the singlet renormalization factor in App. E
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