English

Three-particle $N\pi\pi$ state contribution to the nucleon two-point function in lattice QCD

High Energy Physics - Lattice 2018-05-23 v2

Abstract

The three-particle NππN\pi\pi-state contribution to the QCD two-point function of standard nucleon interpolating fields is computed to leading order in chiral perturbation theory. Using the experimental values for two low-energy coefficients the impact of this contribution on lattice QCD calculations of the nucleon mass is estimated. The impact is found to be at the per mille level at most and negligible in practice.

Keywords

Cite

@article{arxiv.1802.10442,
  title  = {Three-particle $N\pi\pi$ state contribution to the nucleon two-point function in lattice QCD},
  author = {Oliver Bar},
  journal= {arXiv preprint arXiv:1802.10442},
  year   = {2018}
}

Comments

16 pages, 5 figures. V2: Error in eq. (A2) corrected, figures 3 to 5 updated, conclusions unchanged. Discussion of FV corrections expanded. Typos corrected, references added. Matches published version in Phys. Rev. D