The nucleon mass and pion-nucleon sigma term from a chiral analysis of lattice QCD world data

Abstract

The pion-mass dependence of the nucleon mass within the covariant SU(2) baryon chiral perturbation theory both without and with explicit Delta(1232) degrees of freedom up to order p^4 is investigated. By fitting to lattice QCD data in 2 and 2+1 flavors from several collaborations, for pion masses M_pi < 420 MeV, we obtain low energy constants of natural size and compatible with pion nucleon scattering data. Our results are consistent with the rather linear pion-mass dependence showed by lattice QCD. In the 2 flavor case we have also performed simultaneous fits to the nucleon mass and pion-nucleon sigma-term data. As a result of our analysis, which encompasses the study of finite volume corrections and discretization effects, we report a value for the pion-nucleon sigma-term of 41(5)(4) MeV in the 2 flavor case and 52(3)(8) MeV for 2+1 flavors, where the inclusion of the Delta(1232) resonance changes the results by around 9 MeV. In the 2 flavor case we are able to set independently the scale for lQCD data, given by a Sommer scale of r_0=0.493(23) fm.

21 pages, 9 figures; improved error analysis, corresponding to published version

References in corpus (23)

• Ab-initio Determination of Light Hadron Masses
• Hadronic Uncertainties in the Elastic Scattering of Supersymmetric Dark Matter
• 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
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Light Hadron Masses from Lattice QCD
• Nucleon sigma term and strange quark content from lattice QCD with exact chiral symmetry
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Interpreting the recent results on direct search for dark matter particles in terms of relic neutralino
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• Nucleon mass and sigma term from lattice QCD with two light fermion flavors
• Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• 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
• Nucleon mass: from lattice QCD to the chiral limit
• Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• SU(2) and SU(3) chiral perturbation theory analyses on baryon masses in 2+1 flavor lattice QCD
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• Virtual decuplet effects on octet baryon masses in covariant baryon chiral perturbation theory
• Heavy-particle formalism with Foldy-Wouthuysen representation
• On the consistency of recent QCD lattice data of the baryon ground-state masses
• Pion and nucleon in two flavour QCD with unimproved Wilson fermions

Cited by in corpus (62)

• FLAG Review 2019
• FLAG Review 2021
• Update on scalar singlet dark matter
• QCD and strongly coupled gauge theories: challenges and perspectives
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Review of strongly-coupled composite dark matter models and lattice simulations
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• From quarks to nucleons in dark matter direct detection
• Lattice computation of the nucleon scalar quark contents at the physical point
• The dark matter effect on realistic equation of state in neutron stars
• Likelihood Analysis of the pMSSM11 in Light of LHC 13-TeV Data
• $\pi$N and strangeness sigma terms at the physical point with chiral fermions
• Effective Field Theory for Lattice Nuclei
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• DarkBit: A GAMBIT module for computing dark matter observables and likelihoods
• Direct determinations of the nucleon and pion $\sigma$ terms at nearly physical quark masses
• Dark matter and collider signatures of the MSSM
• On light baryons and their excitations
• Uncertainties in WIMP Dark Matter Scattering Revisited
• Scalar strangeness content of the nucleon and baryon sigma terms
• Pion cloud effects on baryon masses
• On finite volume effects in the chiral extrapolation of baryon masses
• Nonstandard Yukawa Couplings and Higgs Portal Dark Matter
• The pion-nucleon $\sigma$ term from pionic atoms
• GW170817 constraints on the properties of a neutron star in the presence of WIMP dark matter
• The pion-nucleon sigma term from lattice QCD
• Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory
• 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
• Pion-nucleon sigma term revisited in covariant baryon chiral perturbation theory
• Nuclear σ-terms and Scalar-Isoscalar WIMP-Nucleus Interactions from Lattice QCD
• Singlet Dark Matter in Type II Two Higgs Doublet Model
• Thermal Relaxation of Dark Matter Admixed Neutron Star
• Nucleon Sigma Terms with $N_f=2+1$ O($a$)-improved Wilson fermions
• Probing the Impact of WIMP Dark Matter on Universal Relations, GW170817 Posterior and Radial Oscillations
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• Dark Matter Blind Spots at One-Loop
• On the axial-vector form factor of the nucleon and chiral symmetry
• Pion photoproduction off nucleons in covariant chiral perturbation theory
• $\Delta (1232)$ resonance in the $\vec{\gamma }p\to p{\pi }^0$ reaction at threshold
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• Consistency between SU(3) and SU(2) chiral perturbation theory for the nucleon mass
• 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
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• Nucleon form factors and parton distributions in nonlocal chiral effective theory
• $QQqq\bar{q}$ Quark System, Compact Pentaquark, and Gauge/String Duality
• Chiral extrapolation and finite-volume dependence of the hyperon vector couplings
• Light-quark mass dependence of the nucleon axial charge and pion-nucleon scattering phenomenology
• Nambu's Nobel Prize, the $\sigma$ meson and the mass of visible matter
• Baryons in/and Lattice QCD
• Many body effects in nuclear matter QCD sum rules
• Chiral Analysis of the Nucleon Mass and Sigma Commutator
• Nucleon generalized form factors and sigma term from lattice QCD near the physical quark mass
• Dark matter from unification
• A unified formulation of one-loop tensor integrals for finite volume effects
• The nucleon mass and pion-nucleon sigma term from a chiral analysis of Nf = 2+1 lattice QCD world data
• Equilibrium of nuclear matter in QCD sum rules
• Extended Higgs-portal dark matter and the Fermi-LAT Galactic Center Excess
• Constraining the scalar singlet and inert dark matter models using neutron stars
• Threshold Neutral Pion Photoproduction on the Proton
• Electromagnetic and weak form factors of nucleon and charged quasielastic scatterings of neutrino (antineutrino) and nucleon
• Mass and structure of the nucleon: Gluon trace anomaly versus spontaneous symmetry breaking