Nucleon-pion-state contribution in lattice calculations of moments of parton distribution functions
Oliver Bar
TL;DR
This paper uses chiral perturbation theory to quantify how nucleon-pion states affect lattice QCD calculations of parton distribution moments, revealing a significant overestimation at typical source-sink separations.
Contribution
It provides the first detailed estimate of nucleon-pion-state effects on lattice moments of PDFs using chiral perturbation theory.
Findings
Nucleon-pion states cause 5-20% overestimation of moments.
Overestimation is significant at source-sink separations around 1.5 fm.
Results help improve accuracy of lattice QCD PDF calculations.
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.
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