Chiral extrapolations of baryon masses for unquenched three-flavor lattice simulations

Abstract

We have analyzed the chiral expansion of the baryon masses to second order in the quark masses, including strong isospin violation. The calculations are performed in Lorentz-invariant baryon chiral perturbation theory. Chiral extrapolation functions for three-flavor unquenched lattice simulations are derived. The matching to the two-flavor case and the sigma terms are also considered.

49 pages, 2 eps figures

References in corpus (1)

• Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass

Cited by in corpus (39)

• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• Chiral dynamics of the S11(1535) and S11(1650) resonances revisited
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• A gauge invariant chiral unitary framework for kaon photo- and electroproduction on the proton
• Predictions for the ${\Lambda }_b\to J/\psi \Lambda (1405)$ decay
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• The electric dipole moment of the deuteron from the QCD $\theta$-term
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• On the chiral effective meson-baryon Lagrangian at third order
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• Integrating out strange quarks in ChPT
• Hyperon-nucleon interaction in chiral effective field theory at next-to-next-to-leading order
• Hyperons in Two Flavor Chiral Perturbation Theory
• Baryon masses, chiral extrapolations, and all that
• Density-dependent effective baryon-baryon interaction from chiral three-baryon forces
• Pion mass dependence of the nucleon mass in the chiral quark soliton model
• The Gell-Mann -- Okubo mass relation among baryons from fully-dynamical mixed-action lattice QCD
• Integrating out strange quarks in ChPT: terms at order p^6
• Light quark mass dependence in heavy quarkonium physics
• Chiral extrapolation of baryon mass ratios
• Electromagnetic low-energy constants in ChPT
• New insights into the nature of the $\Lambda (1380)$ and $\Lambda (1405)$ resonances away from the SU(3) limit
• Feynman-Hellmann theorem for resonances and the quest for QCD exotica
• Meson-baryon effective chiral Lagrangians at order $p^4$
• New insights into the pole parameters of the $\Lambda (1380)$, the $\Lambda (1405)$ and the $\Sigma (1385)$
• $\sigma$ exchange in the one-boson exchange model involving the ground state octet baryons
• Flavor decomposition of the pion-nucleon $\sigma$-term
• Baryon polarization in low-energy unpolarized meson-baryon scattering
• Chiral Analysis of the Nucleon Mass and Sigma Commutator
• Deciphering the mechanism of $J/\psi$-nucleon scattering
• The chiral limit of QCD and above
• Estimates of isospin breaking contributions to baryon masses
• A parametrization of the baryon octet and decuplet masses
• Chiral perturbation theory
• The $\bar{K}N$ interaction in higher partial waves
• Nucleon mass: trace anomaly and $\sigma$-terms