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

Abstract

We determine the leading order mesonic~($B_0$ and $F_0$) and baryonic~($m_0$, $D$ and $F$) SU(3) chiral perturbation theory low energy constants from lattice QCD. We employ gauge ensembles with $N_f=3$ (i.e., $m_u=m_d=m_s$) non-perturbatively improved Wilson fermions at six distinct values of the lattice spacing in the range $a\approx (0.039-0.098)$ fm, which constitute a subset of the Coordinated Lattice Simulations (CLS) gauge ensembles. The pseudoscalar meson mass $M_{\pi }$ ranges from around $430$ MeV down to $240$ MeV and the linear spatial lattice extent $L$ from $6.4M_{\pi }^{-1}$ to $3.3M_{\pi }^{-1}$, where $L{M}_{\pi }\ge 4$ for the majority of the 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 $F_0$ to be smaller than their SU(2) counterparts while the Gell-Mann--Oakes--Renner parameters $B_0\approx B$ are similar. Regarding baryonic LECs, we obtain $F/D=0.612_{(12)}^{(14)}$.

17 pages, 12 figures, minor typos corrected, references added, 2 figures updated

References in corpus (17)

• Leading hadronic contribution to the muon magnetic moment from 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
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Bayesian model averaging for analysis of lattice field theory results
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• The strong coupling from a nonperturbative determination of the $\Lambda$ parameter in three-flavor QCD
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Nucleon mass: from lattice QCD to the chiral limit
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• Octet-baryon axial-vector charges and SU(3)-breaking effects in the semileptonic hyperon decays
• Scalar strangeness content of the nucleon and baryon sigma terms
• SU(2) and SU(3) chiral perturbation theory analyses on baryon masses in 2+1 flavor lattice QCD
• First Calculation of Hyperon Axial Couplings from Lattice QCD
• Finite Volume at Two-loops in Chiral Perturbation Theory
• On the axial-vector form factor of the nucleon and chiral symmetry
• Detecting the flavor content of the vacuum using the Dirac operator spectrum

Cited by in corpus (9)

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• Contact interaction analysis of octet baryon axialvector and pseudoscalar form factors
• Baryon number violating hydrogen decay
• Chiral Analysis of the Nucleon Mass and Sigma Commutator
• Relations for low-energy coupling constants in baryon chiral perturbation theory derived from the chiral quark model
• Chiral Properties of $(2+1)$-Flavor QCD in Magnetic Fields at Zero Temperature
• Chiral perturbation theory for baryon-number-violating nucleon decay into a vector meson
• The axial-vector form factor of the nucleon in a finite box
• Renormalization-group-improved constraints on dimension-7 baryon-number-violating operators