The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory

Abstract

We present an analysis of the baryon-octet and -decuplet masses using covariant SU(3)-flavor chiral perturbation theory up to next-to-leading order. Besides the description of the physical masses we address the problem of the lattice QCD extrapolation. Using the PACS-CS collaboration data we show that a good description of the lattice points can be achieved at next-to-leading order with the covariant loop amplitudes and phenomenologically determined values for the meson-baryon couplings. Moreover, the extrapolation to the physical point up to this order is found to be better than the linear one given at leading-order by the Gell-Mann-Okubo approach. The importance that a reliable combination of lattice QCD and chiral perturbation theory may have for hadron phenomenology is emphasized with the prediction of the pion-baryon and strange-baryon sigma terms.

arXiv commentTypos in formulas corrected

References in corpus (43)

• Ab-initio Determination of Light Hadron Masses
• 2+1 Flavor Lattice QCD toward the Physical Point
• On the Foundations of Chiral Perturbation Theory
• Hadronic Uncertainties in the Elastic Scattering of Supersymmetric Dark Matter
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Electromagnetic excitation of the Delta(1232)-resonance
• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Chiral expansion of baryon masses and $\sigma$-terms
• Octet baryon masses and sigma terms from an SU(3) chiral extrapolation
• Dark matter, the CMSSM and lattice QCD
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Matching Heavy Particle Approach to Relativistic Theory
• Physical Nucleon Properties from Lattice QCD
• Physical Point Simulation in 2+1 Flavor Lattice QCD
• SU(3) Baryon Chiral Perturbation Theory and Long Distance Regularization
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Correspondence of consistent and inconsistent spin-3/2 couplings via the equivalence theorem
• Baryon Masses from Lattice QCD: Beyond the Perturbative Chiral Regime
• Nucleon mass, sigma term and lattice QCD
• Critical Analysis of Baryon Masses and Sigma-Terms in Heavy Baryon Chiral Perturbation Theory
• Tuning the strange quark mass in lattice simulations
• Nucleon Masses and Magnetic Moments in a Finite Volume
• Chiral extrapolations of baryon masses for unquenched three-flavor lattice simulations
• Nucleon mass: from lattice QCD to the chiral limit
• The low-lying baryon spectrum with two dynamical twisted mass fermions
• Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
• Chiral Lagrangian for Baryons in the $1/N_c$ Expansion
• Electromagnetic structure of the lowest-lying decuplet resonances in covariant chiral perturbation theory
• SU(2) and SU(3) chiral perturbation theory analyses on baryon masses in 2+1 flavor lattice QCD
• Octet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Decuplet Baryon Masses in Partially Quenched Chiral Perturbation Theory
• Chiral Extrapolations and the Covariant Small Scale Expansion
• Baryon masses and nucleon sigma terms in manifestly Lorentz-invariant baryon chiral perturbation theory
• The nucleon and Delta-resonance masses in relativistic chiral effective-field theory
• Baryon self energies in the chiral loop expansion
• Hyperons in Two Flavor Chiral Perturbation Theory
• Leading-order decuplet contributions to the baryon magnetic moments in Chiral Perturbation Theory
• Baryon Mass Splittings in Chiral Perturbation Theory
• A Lattice Test of 1/N_c Baryon Mass Relations
• Baryon Masses in Chiral Perturbation Theory with Infrared Regularization
• SU(3)-breaking corrections to the hyperon vector coupling $f_1(0)$ in covariant baryon chiral perturbation theory
• On the possibility of a discontinuous quark-mass dependence of baryon octet and decuplet masses
• Properties of hyperons in chiral perturbation theory

Cited by in corpus (69)

• FLAG Review 2019
• FLAG Review 2021
• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Electric Dipole Moments in Two-Higgs-Doublet Models
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• Revisiting Scalar and Pseudoscalar Couplings with Nucleons
• Sigma term and strangeness content of octet baryons
• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• Is Rho-Meson Melting Compatible with Chiral Restoration?
• The nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD world data
• Hyperon sigma terms for 2+1 quark flavours
• Non-thermal Dark Matter Production from the Electroweak Phase Transition: Multi-TeV WIMPs and "Baby-Zillas"
• Sigma terms from an SU(3) chiral extrapolation
• FLAG Review 2024
• Towards grounding nuclear physics in QCD
• 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
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• On finite volume effects in the chiral extrapolation of baryon masses
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• Strangeness in the baryon ground states
• The pion-nucleon sigma term from lattice QCD
• On the quark-mass dependence of the baryon ground-state masses
• The masses and axial currents of the doubly charmed baryons
• On the convergence of the chiral expansion for the baryon ground-state masses
• Masses and sigma terms of doubly charmed baryons up to $\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory
• Masses of doubly charmed baryons in the extended on-mass-shell renormalization scheme
• Recent results on QCD thermodynamics: lattice QCD versus Hadron Resonance Gas model
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Pion-nucleon sigma term revisited in covariant baryon chiral perturbation theory
• Chiral condensate in hadronic matter
• Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory
• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
• Evidence for non-analytic light quark mass dependence in the baryon spectrum
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• Decuplet baryon masses in covariant baryon chiral perturbation theory
• Weak pion production off the nucleon in covariant chiral perturbation theory
• Virtual decuplet effects on octet baryon masses in covariant baryon chiral perturbation theory
• Chiral extrapolation of baryon mass ratios
• The magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory
• Leading order mesonic and baryonic SU(3) low energy constants from $N_f=3$ lattice QCD
• On the consistency of recent QCD lattice data of the baryon ground-state masses
• Pion photoproduction off nucleons in covariant chiral perturbation theory
• $\Delta (1232)$ resonance in the $\vec{\gamma }p\to p{\pi }^0$ reaction at threshold
• Light quark mass dependence of the $D$ and $D_s$ decay constants
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• Pion-nucleon scattering to $\mathcal{O}(p^3)$ in heavy baryon SU(3) chiral perturbation theory
• Baryon chiral perturbation theory with Wilson fermions up to $\mathcal{O}(a^2)$ and discretization effects of latest $n_f=2+1$ LQCD octet baryon masses
• Consistency between SU(3) and SU(2) chiral perturbation theory for the nucleon mass
• On a first order transition in QCD with up, down and strange quarks
• Update on Chiral Symmetry Restoration in the Context of Dilepton Data
• Chiral extrapolation and finite-volume dependence of the hyperon vector couplings
• Low-energy constants in the chiral Lagrangian with baryon octet and decuplet fields from Lattice QCD data on CLS ensembles
• Pion-nucleon scattering to order $p^4$ in SU(3) heavy baryon chiral perturbation theory
• Octet and decuplet baryon $\sigma$-terms and mass decompositions
• Octet and decuplet baryon self-energies in relativistic SU(3) chiral effective theory
• Reexamination of antinucleon-nucleon interactions in covariant chiral effective field theory
• Peripheral nucleon-nucleon scattering at next-to-next-to-leading order in SU(3) heavy baryon chiral perturbation theory
• Relativistic chiral representation of the $\pi N$ scattering amplitude II: The pion-nucleon sigma term
• Pion-nucleon scattering with decuplet contribution in heavy baryon SU(3) chiral perturbation theory
• Thermodynamics and quark condensates of three-flavor QCD at low temperature
• Quark mass dependence of the ground-state octet baryons in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• Lowest-lying octet baryon masses in covariant baryon chiral perturbation theory
• Threshold Neutral Pion Photoproduction on the Proton
• Triangle diagram in heavy-baryon chiral perturbation theory