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Following our previous proposal [1], we construct a class of good "latticecross sections" (LCSs), from which we could study partonic structure of hadronsfrom ab initio lattice QCD calculations. These good LCSs, on the one hand, canbe calculated directly in lattice QCD, and on the other hand, can be factorizedinto parton distribution functions (PDFs) with calculable coefficients, in thesame way as QCD factorization for factorizable hadronic cross sections. PDFscould be extracted from QCD global analysis of the lattice QCD generated dataof LCSs. We also show that proposed functions for lattice QCD calculation ofPDFs in the literature are special cases of these good LCSs.

Exploring hadrons' partonic structure using ab initio lattice QCD calculations