Pith. sign in

REVIEW 4 cited by

On the role of isospin violation in the pion-nucleon $\sigma$-term

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2305.07045 v2 pith:VDQS3UX3 submitted 2023-05-11 hep-ph hep-latnucl-th

Martin Hoferichter , Jacobo Ruiz de Elvira , Bastian Kubis , Ulf-G. Mei{ss}ner This is my paper · ORCID
classification hep-phhep-latnucl-th
keywords sigmapion-nucleonconventionscorrespondingdeterminationsextractionincludedisospin
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In recent years, a persistent tension between phenomenological and lattice QCD determinations of the pion-nucleon $\sigma$-term $\sigma_{\pi N}$ has developed. In particular, lattice-QCD calculations have matured to the point that isospin-violating effects need to be included. Here, we point out that the standard conventions adopted in both fields are incompatible, with the data-driven extraction based on the charged-pion mass, but lattice-QCD conventions relying on the mass of the neutral pion to define the isospin limit. The corresponding correction amounts to $\Delta \sigma_{\pi N}=3.1(5)\,\text{MeV}$ when evaluated in chiral perturbation theory with low-energy constants determined from a Roy-Steiner analysis of pion-nucleon scattering as well as $\sigma_{\pi N}$ itself. It reduces the tension with lattice QCD, and should be included in the comparison to phenomenological determinations. We also update the extraction from pionic atoms accounting for the latest measurement of the width of pionic hydrogen, $\sigma_{\pi N}=59.0(3.5)\,\text{MeV}$, and provide the corresponding set of scalar couplings of the nucleon.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Renormalization-Group Invariant Parity-Doublet Model for Nuclear and Neutron-Star Matter

    nucl-th 2025-11 unverdicted novelty 6.0 of 10

    Including baryonic vacuum fluctuations in the parity-doublet model through an RG-invariant mean-field scheme moves the chiral transition to higher densities and turns it into a smooth crossover for most values of the ...

  2. Nucleon sigma terms with a variational analysis from Lattice QCD

    hep-lat 2024-12 conditional novelty 6.0 of 10

    A variational basis with nucleon-sigma interpolators reduces excited state contamination in direct lattice QCD determinations of nucleon sigma terms, demonstrated on one Nf=3 ensemble at M_pi=429 MeV.

  3. Did IceCube discover Dark Matter around Blazars?

    astro-ph.HE 2024-12 conditional novelty 6.0 of 10

    Sub-GeV dark matter scattering off protons in blazar jets can produce the IceCube neutrino from TXS 0506+056 while evading current dark matter constraints.

  4. Nucleon charges and $\sigma$-terms in lattice QCD

    hep-lat 2024-12 conditional novelty 5.0 of 10

    First-principles lattice QCD at the physical pion mass yields nucleon charges and sigma-terms in the continuum limit, with g_A^{u-d}=1.250(24) matching experiment.

Pith tools