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The determination of $r_0$ and $r_1$ in $N_f=2+1$ QCD

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arxiv 2312.14726 v1 pith:LEGO66U6 submitted 2023-12-22 hep-lat

Tom Matty Bo Asmussen , Roman Höllwieser , Francesco Knechtli , Tomasz Korzec This is my paper · ORCID
classification hep-lat
keywords scalesanalysischiralcontinuumcoversdatadefinitiondetermination
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abstract

We determine the scales $r_0$, $r_1$, the ratio $r_0/r_1$ for $N_f$ = 2 + 1 flavor QCD ensembles generated by CLS. These scales are determined from an improved definition of the static force, which we measure using Wilson loops and furthermore use to study the shape of the potential. Our analysis involves various continuum and chiral extrapolations of data that covers pion masses between 134 MeV and 420 MeV and five lattice spacings down to 0.038 fm.

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  1. The determination of potential scales in 2+1 flavor QCD

    hep-lat 2024-12 conditional novelty 5.0 of 10

    A new lattice QCD determination of the hadronic scales r0 = 0.4729(75) fm and r1 = 0.3127(40) fm in 2+1 flavor QCD, together with r0 Λ_MSbar^(3) = 0.820(28).

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