Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions

Abstract

We determine the light baryon spectrum on ensembles generated by the Coordinated Lattice Simulations (CLS) effort, employing $N_f=2+1$ flavours of non-perturbatively improved Wilson fermions. The hadron masses are interpolated and extrapolated within the quark mass plane, utilizing three distinct trajectories, two of which intersect close to the physical quark mass point and the third one approaching the SU(3) chiral limit. The results are extrapolated to the continuum limit, utilizing six different lattice spacings ranging from $a\approx 0.10$fm down to below $0.04$fm. The light pion mass varies from $M_{\pi }\approx 429$MeV down to $127$MeV. In general, the spatial extent is kept larger than four times the inverse pion mass and larger than $2.3$fm, with additional small and large volume ensembles to investigate finite size effects. We determine the Wilson flow scales $\sqrt{t_{0,\mathrm{ph}}}=0.1449_{(9)}^{(7)}$fm and $t_0^{\ast }\approx t_{0,\mathrm{ph}}$ from the octet cascade ($\Xi$ baryon). Determining the light baryon spectrum in the continuum limit, we find the nucleon mass $m_N=941.7_{(7.6)}^{(6.5)}$MeV and the other stable baryon masses to agree with their experimental values within sub-percent level uncertainties. Moreover, we determine SU(3) and SU(2) chiral perturbation theory low energy constants, including the octet and the $\Omega$ baryon sigma~terms ${\sigma }_{\pi N}=43.9(4.7)$MeV, ${\sigma }_{\pi \Lambda }=28.2_{(5.4)}^{(4.3)}$MeV, ${\sigma }_{\pi \Sigma }=25.9_{(6.1)}^{(3.8)}$MeV, ${\sigma }_{\pi \Xi }=11.2_{(6.4)}^{(4.5)}$MeV and ${\sigma }_{\pi \Omega }=6.9_{(4.3)}^{(5.3)}$MeV, as well as various parameters, renormalization factors and improvement coefficients that are relevant for simulations with our lattice action.

132 pages, many figures. v2: reordered the content, improved cross linking, added some explanations, corrected typos, improved/corrected three figures, added one new comparison figure, updated the literature

References in corpus (34)

• Ab-initio Determination of Light Hadron Masses
• FLAG Review 2021
• Ab initio calculation of the neutron-proton mass difference
• High-precision scale setting in lattice QCD
• Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
• Critical slowing down and error analysis in lattice QCD simulations
• Mesonic low-energy constants
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• QED Corrections to Hadronic Processes in Lattice QCD
• Nucleon mass and sigma term from lattice QCD with two light fermion flavors
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• Light baryon masses with dynamical twisted mass fermions
• Finite-Volume QED Corrections to Decay Amplitudes in Lattice QCD
• Nucleon mass: from lattice QCD to the chiral limit
• Deflation acceleration of lattice QCD simulations
• Extracting the sigma-term from low-energy pion-nucleon scattering
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• Chiral Extrapolations and the Covariant Small Scale Expansion
• The pion-nucleon sigma term from lattice QCD
• Renormalization of local quark-bilinear operators for Nf=3 flavors of SLiNC fermions
• The Delta-resonance in a finite volume
• On the effects of heavy sea quarks at low energies
• HQET at order $1/m$: II. Spectroscopy in the quenched approximation
• Singlet vs Nonsinglet Perturbative Renormalization of Fermion Bilinears
• P-wave nucleon-pion scattering amplitude in the $\Delta (1232)$ channel from lattice QCD
• A lattice determination of Sigma - Lambda mixing
• Scale setting the Möbius Domain Wall Fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales $t_0$ and $w_0$
• Finite Volume at Two-loops in Chiral Perturbation Theory
• Nonperturbative Renormalization in Lattice QCD with three Flavors of Clover Fermions: Using Periodic and Open Boundary Conditions
• The asymptotic approach to the continuum of lattice QCD spectral observables
• Two-loop additive mass renormalization with clover fermions and Symanzik improved gluons
• Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $N_{\mathrm{f}}=3$ QCD with Wilson quarks
• Lambda-parameter of lattice QCD with Symanzik improved gluon actions

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