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The three-particle $N\pi\pi$-state contribution to the QCD two-point functionof standard nucleon interpolating fields is computed to leading order in chiralperturbation theory. Using the experimental values for two low-energycoefficients the impact of this contribution on lattice QCD calculations of thenucleon mass is estimated. The impact is found to be at the per mille level atmost and negligible in practice.

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