4.7 Article

Leading order mesonic and baryonic SU(3) low energy constants from Nf =3 lattice QCD

Journal

PHYSICAL REVIEW D
Volume 105, Issue 5, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.105.054516

Keywords

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Funding

  1. German Federal Ministry of Education and Research (BMBF) [05P18WRFP1]
  2. European Unions Horizon 2020 research and innovation programme under the Marie Skodowska-Curie Grant [813942, 824093]
  3. German Research Foundation (DFG) collaborative research centre [SFB/TRR-55]
  4. BMBF
  5. German State Ministry for Research of Baden-Wrttemberg (MWK)
  6. German State Ministry for Research of Bayern (StMWFK)
  7. German State Ministry for Research of Nordrhein-Westfalen (MIWF)
  8. JSC

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In this study, we accurately calculated the low energy constants of the SU(3) chiral perturbation theory from lattice QCD and extrapolated these constants to the chiral, infinite volume, and continuum limits. We found that the SU(3) chiral condensate and F0 are smaller than their SU(2) counterparts, while the Gell-Mann-Oakes-Renner parameters B0 are approximately equal to B.
We determine the leading order mesonic (B0 and F0) and baryonic (m0, D and F) SU(3) chiral perturbation theory low energy constants from lattice QCD. We employ gauge ensembles with Nf = 3 (i.e., mu = md = ms) nonperturbatively improved Wilson fermions at six distinct values of the lattice spacing in the range a approximate to (0.039-0.098) fm, which constitute a subset of the coordinated lattice simulations (CLS) gauge ensembles. The pseudoscalar meson mass M,. ranges from around 430 MeV down to 240 MeV and the linear spatial lattice extent L from 6.4M-1 ensembles. This allows us to perform a controlled extrapolation of all the low energy constants to the chiral, infinite volume and continuum limits. We find the SU(3) chiral condensate and F0 to be smaller than their SU(2) counterparts while the Gell-Mann-Oakes-Renner parameters B0 approximate to B are similar. Regarding (12).

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