Extracting the sigma-term from low-energy pion-nucleon scattering

Abstract

We present an extraction of the pion-nucleon ($\pi N$) scattering lengths from low-energy $\pi N$ scattering, by fitting a representation based on Roy-Steiner equations to the low-energy data base. We show that the resulting values confirm the scattering-length determination from pionic atoms, and discuss the stability of the fit results regarding electromagnetic corrections and experimental normalization uncertainties in detail. Our results provide further evidence for a large $\pi N$ $\sigma$-term, ${\sigma }_{\pi N}=58(5)$ MeV, in agreement with, albeit less precise than, the determination from pionic atoms.

arXiv comment17 pages, 3 figures; journal version

References in corpus (46)

• ππscattering
• Electric Dipole Moments of Nucleons, Nuclei, and Atoms: The Standard Model and Beyond
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• The chiral representation of the $\pi N$ scattering amplitude and the pion-nucleon sigma term
• Roy equation analysis of pi pi scattering
• Hadronic Uncertainties in the Elastic Scattering of Supersymmetric Dark Matter
• High-precision determination of the pion-nucleon $\sigma$-term from Roy-Steiner equations
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Probing exotic phenomena at the interface of nuclear and particle physics with the electric dipole moments of diamagnetic atoms: A unique window to hadronic and semi-leptonic CP violation
• Implications for relic neutralinos of the theoretical uncertainties in the neutralino-nucleon cross-section
• Accurate evaluation of hadronic uncertainties in spin-independent WIMP-nucleon scattering: Disentangling two- and three-flavor effects
• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• On the model discriminating power of mu -> e conversion in nuclei
• Pion-nucleon scattering in chiral perturbation theory II: Fourth order calculation
• Ground-state energy of pionic hydrogen to one loop
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• The quark condensate from K_{e_4} decays
• Lattice computation of the nucleon scalar quark contents at the physical point
• Fitting Parton Distribution Data with Multiplicative Normalization Uncertainties
• Reconciling threshold and subthreshold expansions for pion-nucleon scattering
• $\pi$N and strangeness sigma terms at the physical point with chiral fermions
• Parameterization dependence of T matrix poles and eigenphases from a fit to piN elastic scattering data
• Direct Evaluation of the Quark Content of Nucleons from Lattice QCD at the Physical Point
• Size of the neutralino--nucleon cross--section in the light of a new determination of the pion--nucleon sigma term
• On the pi pi continuum in the nucleon form factors and the proton radius puzzle
• Complete analysis of pion-nucleon scattering in chiral perturbation theory to third order
• Direct determinations of the nucleon and pion $\sigma$ terms at nearly physical quark masses
• Roy-Steiner equations for pion-nucleon scattering
• Isospin violation in pion-nucleon scattering
• Dispersive analysis of the scalar form factor of the nucleon
• Pionic deuterium
• Remarks on the pion-nucleon sigma-term
• Isospin violation in low-energy pion-nucleon scattering revisited
• Isospin breaking in the pion-nucleon scattering lengths
• Elastic pion-nucleon scattering in chiral perturbation theory: A fresh look
• Hadronic shift in pionic hydrogen
• Towards an understanding of isospin violation in pion-nucleon scattering
• Violations of discrete space-time symmetries in chiral effective field theory
• On the size of isospin violation in low-energy pion-nucleon scattering
• Lattice QCD spectroscopy for hadronic CP violation
• pi+- p differential cross sections at low energies
• The K-matrix approach to the Delta - resonance mass splitting and isospin violation in low-energy pi-N scattering
• Differential cross sections for pion charge exchange on the proton at 27.5 MeV
• Differential cross sections of the charge-exchange reaction pi- p --> pi0 n in the momentum range from 103 to 178 MeV/c
• Test of isospin symmetry via low energy ${}^1$H(${\pi }^{-}$,${\pi }^o$)$n$ charge exchange
• Systematic effects in the low-energy behavior of the current SAID solution for the pion-nucleon system

Cited by in corpus (59)

• FLAG Review 2019
• FLAG Review 2021
• Coherent elastic neutrino-nucleus scattering: EFT analysis and nuclear responses
• Likelihood Analysis of the pMSSM11 in Light of LHC 13-TeV Data
• Nucleon axial, tensor and scalar charges and $\sigma$-terms in lattice QCD
• The mass radius of the proton
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
• Nucleon charges with dynamical overlap fermions
• Selected Science Opportunities for the EicC
• FLAG Review 2024
• Nuclear structure factors for general spin-independent WIMP-nucleus scattering
• Uncertainties in WIMP Dark Matter Scattering Revisited
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• Neutrino experiments probe hadrophilic light dark matter
• Nuclear Currents in Chiral Effective Field Theory
• Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future
• The Origin of Proton Mass from J/$\mathrm{\Psi }$ Photo-production Data
• The pion-nucleon sigma term from lattice QCD
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Dark matter shifts away from direct detection
• Statistical Analyses of Higgs- and Z-Portal Dark Matter Models
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• The X17 boson and the ${}^3$H$(p,e^{+}{e}^{-}{)}^4$He and ${}^3$He$(n,e^{+}{e}^{-}{)}^4$He processes: a theoretical analysis
• Light- and strange-quark mass dependence of the $\rho (770)$ meson revisited
• Electric dipole moment of ${}^{199}$Hg atom from P, CP-odd electron-nucleon interaction
• Nucleon Sigma Terms with $N_f=2+1$ O($a$)-improved Wilson fermions
• Baryogenesis from neutron-dark matter oscillations
• Reach and complementarity of $\mu \to e$ searches
• Coherent $\mu -e$ Conversion at Next-to-Leading Order
• On the axial-vector form factor of the nucleon and chiral symmetry
• Improved limits on lepton-flavor-violating decays of light pseudoscalars via spin-dependent $\mu \to e$ conversion in nuclei
• CP violating effects in ${}^{210}$Fr and prospects for new physics beyond the Standard Model
• Brief history of the pion-nucleon sigma term
• An update on fine-tunings in the triple-alpha process
• Dispersive Determination of Nucleon Gravitational Form Factors
• Alpha-alpha scattering in the Multiverse
• Non-derivative Axionic Couplings to Nucleons at large and small N
• Pion-nucleon scattering to $\mathcal{O}(p^3)$ in heavy baryon SU(3) chiral perturbation theory
• Relating hadronic CP-violation to higher-twist distributions
• Subleading contributions to the nuclear scalar isoscalar currents
• S-wave pion condensation in symmetric nuclear matter
• Evaluation of pion-nucleon sigma term in Dyson-Schwinger equation approach of QCD
• Effect of the Pauli exclusion principle in the electric dipole moment of ${}^9$Be with $|\Delta S|=1$ interactions
• Deuteron EDM induced by CP violating couplings of pseudoscalar mesons
• Coarse graining $\pi \pi$ scattering
• Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints
• Low-energy constants in the chiral Lagrangian with baryon octet and decuplet fields from Lattice QCD data on CLS ensembles
• Hadron Structure using Continuum Schwinger Function Methods
• Thermal WIMPs and the Scale of New Physics: Global Fits of Dirac Dark Matter Effective Field Theories
• From QCD Symmetries to Nuclei and Neutron Stars
• Pion-nucleon scattering to order $p^4$ in SU(3) heavy baryon chiral perturbation theory
• Flavor decomposition of the pion-nucleon $\sigma$-term
• Elastic Nucleon-Pion scattering amplitudes in the $\Delta$ channel at physical pion mass from Lattice QCD
• Meson-Nucleon Scattering Amplitudes from Lattice QCD
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• Chiral Analysis of the Nucleon Mass and Sigma Commutator
• Reflections on Chiral Symmetry within QCD