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

Abstract

The three-particle $N\pi \pi$-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.

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

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• Pion-nucleon scattering in the Roper channel from lattice QCD
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Cited by in corpus (8)

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• $N\pi$-states and the projection method for the nucleon axial and pseudoscalar form factors
• $N\pi$-state contamination in lattice calculations of the nucleon electromagnetic form factors
• Excited states in nucleon structure calculations
• Hints and challenges in heavy flavor physics