{
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  "authors": [
    {
      "raw_name": "Xiang Gao", 
      "affiliations": [
        {
          "country": "China", 
          "value": "Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China"
        }
      ], 
      "surname": "Gao", 
      "given_names": "Xiang", 
      "full_name": "Gao, Xiang"
    }, 
    {
      "raw_name": "Andrew D. Hanlon", 
      "affiliations": [
        {
          "country": "USA", 
          "value": "Physics Department, Brookhaven National Laboratory, Building 510A, Upton, New York 11973, USA"
        }
      ], 
      "surname": "Hanlon", 
      "given_names": "Andrew D.", 
      "full_name": "Hanlon, Andrew D."
    }, 
    {
      "raw_name": "Swagato Mukherjee", 
      "affiliations": [
        {
          "country": "USA", 
          "value": "Physics Department, Brookhaven National Laboratory, Building 510A, Upton, New York 11973, USA"
        }
      ], 
      "surname": "Mukherjee", 
      "given_names": "Swagato", 
      "full_name": "Mukherjee, Swagato"
    }, 
    {
      "raw_name": "Peter Petreczky", 
      "affiliations": [
        {
          "country": "USA", 
          "value": "Physics Department, Brookhaven National Laboratory, Building 510A, Upton, New York 11973, USA"
        }
      ], 
      "surname": "Petreczky", 
      "given_names": "Peter", 
      "full_name": "Petreczky, Peter"
    }, 
    {
      "raw_name": "Philipp Scior", 
      "affiliations": [
        {
          "country": "USA", 
          "value": "Physics Department, Brookhaven National Laboratory, Building 510A, Upton, New York 11973, USA"
        }
      ], 
      "surname": "Scior", 
      "given_names": "Philipp", 
      "full_name": "Scior, Philipp"
    }, 
    {
      "raw_name": "Sergey Syritsyn", 
      "affiliations": [
        {
          "country": "USA", 
          "value": "RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA"
        }, 
        {
          "country": "USA", 
          "value": "Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11790, USA"
        }
      ], 
      "surname": "Syritsyn", 
      "given_names": "Sergey", 
      "full_name": "Syritsyn, Sergey"
    }, 
    {
      "raw_name": "Yong Zhao", 
      "affiliations": [
        {
          "country": "USA", 
          "value": "Physics Division, Argonne National Laboratory, Lemont, Illinois 60439, USA"
        }
      ], 
      "surname": "Zhao", 
      "given_names": "Yong", 
      "full_name": "Zhao, Yong"
    }
  ], 
  "titles": [
    {
      "source": "APS", 
      "title": "Lattice QCD Determination of the Bjorken-<math><mi>x</mi></math> Dependence of Parton Distribution Functions at Next-to-Next-to-Leading Order"
    }
  ], 
  "dois": [
    {
      "value": "10.1103/PhysRevLett.128.142003"
    }
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  "publication_info": [
    {
      "journal_volume": "128", 
      "journal_title": "Physical Review Letters", 
      "material": "article", 
      "journal_issue": "14", 
      "year": 2022
    }
  ], 
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    "source": "APS", 
    "method": "APS", 
    "submission_number": "16cb2a3a07c311eda1a1661ec451a4e4"
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  "page_nr": [
    6
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  "license": [
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      "url": "https://creativecommons.org/licenses/by/4.0/", 
      "license": "CC-BY-4.0"
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  ], 
  "copyright": [
    {
      "statement": "Published by the American Physical Society", 
      "year": "2022"
    }
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      "primary": "Published"
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      "categories": [
        "hep-lat", 
        "hep-ex", 
        "hep-ph", 
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      "value": "2112.02208"
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  ], 
  "abstracts": [
    {
      "source": "APS", 
      "value": "We report the first lattice QCD calculation of pion valence quark distribution with next-to-next-to-leading order perturbative matching correction, which is done using two fine lattices with spacings <math><mi>a</mi><mo>=</mo><mn>0.04</mn></math> and 0.06 fm and valence pion mass <math><msub><mi>m</mi><mi>\u03c0</mi></msub><mo>=</mo><mn>300</mn><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math>, at boost momentum as large as 2.42 GeV. As a crucial step to control the systematics, we renormalize the pion valence quasidistribution in the recently proposed hybrid scheme, which features a Wilson-line mass subtraction at large distances in coordinate space, and develop a procedure to match it to the <math><mover><mi>MS</mi><mo>\u00af</mo></mover></math> scheme. We demonstrate that the renormalization and the perturbative matching in Bjorken-<math><mi>x</mi></math> space yield a reliable determination of the valence quark distribution for <math><mn>0.03</mn><mo>\u2272</mo><mi>x</mi><mo>\u2272</mo><mn>0.80</mn></math> with 5%\u201320% uncertainties."
    }
  ], 
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      "date": "2022-04-06", 
      "publisher": "APS"
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}