English

The pion-nucleon sigma term from Lattice QCD

High Energy Physics - Lattice 2022-03-29 v1 High Energy Physics - Phenomenology Nuclear Theory

Abstract

We summarize recent evidence, both from lattice QCD and chiral perturbation theory, that suggests that larger-than-expected excited-state contamination could be the reason for the tension between phenomenological determinations and previous direct lattice-QCD calculations of the pion--nucleon sigma term σπN\sigma_{\pi N}. In addition, we extend the χ\chiPT analysis by calculating the corrections due to including the Δ(1232)\Delta(1232) resonance as an explicit degree of freedom. This correction is found to be small, thereby corroborating the excited-state effects found in the Δ\Delta-less calculation and the result for σπN\sigma_{\pi N}.

Keywords

Cite

@article{arxiv.2203.13862,
  title  = {The pion-nucleon sigma term from Lattice QCD},
  author = {Rajan Gupta and Tanmoy Bhattacharya and Martin Hoferichter and Emanuele Mereghetti and Sungwoo Park and Boram Yoon},
  journal= {arXiv preprint arXiv:2203.13862},
  year   = {2022}
}

Comments

Includes new analysis of $\Delta$ corrections to excited-state contamination. Contribution to the 10th International Workshop on Chiral Dynamics

R2 v1 2026-06-24T10:26:24.211Z