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Next-to-next-to-leading order corrections to quark Quasi parton distribution functions

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arxiv 2006.14825 v4 pith:DR64AAO4 submitted 2020-06-26 hep-ph hep-lat

Long-Bin Chen , Wei Wang , Ruilin Zhu This is my paper
classification hep-phhep-lat
keywords distributionnnloorderpdfsquasifunctionsnext-to-next-to-leadingparton
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 2 Pith papers

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    Analysis of non-perturbative lattice data shows that the inverse problem in LaMET introduces significant uncertainties in parton distributions, especially from harmonics around λ=5-15, and that exact asymptotic decay ...

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