Nucleon-pion-state contribution in lattice calculations of moments of parton distribution functions

Abstract

We employ chiral perturbation theory to calculate the nucleon-pion-state contribution to the 3-point correlation functions measured in lattice QCD to compute various moments of parton distribution functions (quark momentum fraction, helicity and transversity moment). We estimate the impact of the nucleon-pion-state contribution on the plateau method for lattice simulations with a physical pion mass. The nucleon-pion-state contribution results in an overestimation of all three moments. The overestimation is at the 5-20% level for source-sink separations of about 1.5 fm.

arXiv comment20 pages, 8 figures. arXiv admin note: text overlap with arXiv:1606.09385

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• FLAG Review 2019
• FLAG Review 2021
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• The pion-nucleon sigma term from lattice QCD
• $N\pi$-state contamination in lattice calculations of the nucleon pseudoscalar form factor
• Chiral perturbation theory and nucleon-pion-state contaminations in lattice QCD
• $N\pi$-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
• Three-particle $N\pi \pi$ state contribution to the nucleon two-point function in lattice QCD