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Next-to-next-to-leading order corrections to quark Quasi parton distribution functions
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We present the next-to-next-to-leading order (NNLO) calculation of quark quasi parton distribution functions (PDFs) in the large momentum effective theory. The nontrivial factorization at this order is established explicitly and the full analytic matching coefficients between the quasi distribution and the lightcone distribution are derived. We demonstrate that the NNLO numerical contributions can improve the behavior of the extracted PDFs sizably. With the unprecedented precision study of nucleon tomography at the planned electron-ion collider, high precision Lattice QCD simulations with our NNLO results implemented will enable to test the QCD theory and more precise results on the PDFs of nucleons will be obtained.
Forward citations
Cited by 2 Pith papers
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Conformal Mapping in Matching Quark Correlation Functions to Parton Distribution Functions
Conformal mapping of the Borel-transformed matching kernel reduces the scale-variation error band for quark correlation function to PDF matching by up to 40%.
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Mapping Parton Distributions of Hadrons with Lattice QCD
A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.
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