Nucleon Sigma Terms with N_{f}=2+1 Flavors of O(a)-Improved Wilson Fermions.

Phys Rev Lett

PRISMA+ Cluster of Excellence and Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany.

Published: December 2023

AI Article Synopsis

  • The study uses lattice Quantum Chromodynamics (QCD) to analyze nucleon sigma terms, accounting for various sources of error like excited-state contaminations and finite-size effects.
  • The pion nucleon sigma term is calculated to be σ_{πN}=(43.7±3.6) MeV, indicating some discrepancies with results from dispersion theory.
  • Additionally, a nonzero value for the strange sigma term is found, with σ_{s}=(28.6±9.3) MeV.

Article Abstract

We present a lattice-QCD based analysis of the nucleon sigma terms using gauge ensembles with N_{f}=2+1 flavors of O(a)-improved Wilson fermions, with a complete error budget concerning excited-state contaminations, the chiral interpolation as well as finite-size and lattice spacing effects. We compute the sigma terms determined directly from the matrix elements of the scalar currents. The chiral interpolation is based on SU(3) baryon chiral perturbation theory using the extended on-mass shell renormalization scheme. For the pion nucleon sigma term, we obtain σ_{πN}=(43.7±3.6)  MeV, where the error includes our estimate of the aforementioned systematics. The tension with extractions based on dispersion theory persists at the 2.4-σ level. For the strange sigma term, we obtain a nonzero value, σ_{s}=(28.6±9.3)  MeV.

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http://dx.doi.org/10.1103/PhysRevLett.131.261902DOI Listing

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