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High-precision determination of the pion-nucleon $\sigma$-term from Roy-Steiner equations

5 Pith papers cite this work. Polarity classification is still indexing.

5 Pith papers citing it
abstract

We present a determination of the pion-nucleon ($\pi N$) $\sigma$-term $\sigma_{\pi N}$ based on the Cheng-Dashen low-energy theorem (LET), taking advantage of the recent high-precision data from pionic atoms to pin down the $\pi N$ scattering lengths as well as of constraints from analyticity, unitarity, and crossing symmetry in the form of Roy-Steiner equations to perform the extrapolation to the Cheng-Dashen point in a reliable manner. With isospin-violating corrections included both in the scattering lengths and the LET, we obtain $\sigma_{\pi N}=(59.1\pm 1.9\pm 3.0)$ MeV $=(59.1\pm 3.5)$ MeV, where the first error refers to uncertainties in the $\pi N$ amplitude and the second to the LET. Consequences for the scalar nucleon couplings relevant for the direct detection of dark matter are discussed.

representative citing papers

Physical implications of a double right-handed gauge symmetry

hep-ph · 2026-01-10 · unverdicted · novelty 6.0

A double right-handed U(1) gauge extension generates the Standard Model fermion mass hierarchy at tree and loop levels and stabilizes a viable scalar singlet dark matter particle consistent with relic density and direct detection bounds.

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

nucl-th · 2025-11-10 · unverdicted · novelty 6.0

A renormalization-group invariant mean-field treatment of the Parity-Doublet Model is developed that consistently includes baryonic vacuum fluctuations and is used to study chiral symmetry restoration in two-flavor nuclear and neutron-star matter for chosen values of the chirally invariant mass m0.

Dark matter in classically conformal theories: WIMP and supercooling

hep-ph · 2026-03-10 · unverdicted · novelty 5.0

Classically conformal SU(2)_X model with triplet dark scalar yields viable WIMP and supercooled DM parameter spaces whose production histories are set by the model's first-order phase transition, with gravitational waves as a common probe.

Reach and complementarity of $\mu\to e$ searches

hep-ph · 2022-04-01 · unverdicted · novelty 5.0

Derives new physics scale constraints in a six-dimensional EFT subspace for μ to e transitions using data from μ→eγ, μ→3e, and nuclear conversion experiments while highlighting their complementarity.

citing papers explorer

Showing 5 of 5 citing papers.

  • Physical implications of a double right-handed gauge symmetry hep-ph · 2026-01-10 · unverdicted · none · ref 50 · internal anchor

    A double right-handed U(1) gauge extension generates the Standard Model fermion mass hierarchy at tree and loop levels and stabilizes a viable scalar singlet dark matter particle consistent with relic density and direct detection bounds.

  • Renormalization-Group Invariant Parity-Doublet Model for Nuclear and Neutron-Star Matter nucl-th · 2025-11-10 · unverdicted · none · ref 35 · internal anchor

    A renormalization-group invariant mean-field treatment of the Parity-Doublet Model is developed that consistently includes baryonic vacuum fluctuations and is used to study chiral symmetry restoration in two-flavor nuclear and neutron-star matter for chosen values of the chirally invariant mass m0.

  • Dark matter in classically conformal theories: WIMP and supercooling hep-ph · 2026-03-10 · unverdicted · none · ref 111 · internal anchor

    Classically conformal SU(2)_X model with triplet dark scalar yields viable WIMP and supercooled DM parameter spaces whose production histories are set by the model's first-order phase transition, with gravitational waves as a common probe.

  • Reach and complementarity of $\mu\to e$ searches hep-ph · 2022-04-01 · unverdicted · none · ref 46 · internal anchor

    Derives new physics scale constraints in a six-dimensional EFT subspace for μ to e transitions using data from μ→eγ, μ→3e, and nuclear conversion experiments while highlighting their complementarity.

  • Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report physics.ins-det · 2021-03-08 · accept · none · ref 184 · internal anchor

    The EIC Yellow Report specifies the science goals, required detector capabilities, and technology concepts needed to realize a high-luminosity electron-ion collider program.