Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extraction of Next-to-Next-to-Leading-Order PDFs from Lattice QCD
  Calculations   We present for the first time complete next-to-next-to-leading-order
coefficient functions to match flavor non-singlet quark correlation functions
in position space, which are calculable in lattice QCD, to parton distribution
functions (PDFs). Using PDFs extracted from experimental data and our
calculated matching coefficients, we predict valence-quark correlation
functions that can be confronted by lattice QCD calculations. The uncertainty
of our predictions is greatly reduced with higher order matching coefficients.
By performing Fourier transformation, we also obtain matching coefficients for
corresponding quasi-PDFs and pseudo-PDFs. Our method of calculations can be
readily generalized to evaluate the matching coefficients for sea-quark and
gluon correlation functions, putting the program to extract partonic structure
of hadrons from lattice QCD calculations to be comparable with and
complementary to that from experimental measurements.

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The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
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The categories of this paper are: eess
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs