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@INPROCEEDINGS{Francis:1037140,
      author       = {Francis, Anthony and Fritzsch, Patrick and Karur, Rohith
                      and Kim, Jangho and Pederiva, Giovanni and Pefkou, Dimitra
                      and Rago, Antonio and Shindler, Andrea and Walker-Loud,
                      André and Zafeiropoulos, Savvas},
      title        = {{P}robing higher moments of pion parton distribution
                      functions},
      volume       = {466},
      publisher    = {Sissa Medialab Trieste, Italy},
      reportid     = {FZJ-2025-00487},
      pages        = {15},
      year         = {2024},
      comment      = {Proceedings of The 41st International Symposium on Lattice
                      Field Theory — PoS(LATTICE2024)},
      booktitle     = {Proceedings of The 41st International
                       Symposium on Lattice Field Theory —
                       PoS(LATTICE2024)},
      abstract     = {We present the first numerical investigation of the method
                      proposed in Ref. [1] to utilize gradient flow to obtain
                      precise determinations of higher moments of PDFs from
                      lattice QCD, circumventing power divergent mixing with lower
                      dimensional operators. We apply this method to obtain
                      moments of the isovector PDF of the pion using four
                      Stabilized Wilson Fermion ensembles with mπ≃411 MeV and
                      lattice spacings a≃0.064,0.077,0.094, and 0.12 fm. We
                      present preliminary results of ratios of three-point
                      functions as a function of flow time, which can be used to
                      extract the ratios ⟨x2⟩/⟨x⟩ and ⟨x3⟩/⟨x⟩.We
                      find that a significantly higher precision can be achieved
                      with this method compared to the canonical approach, which
                      requires boosting and cannot reach higher than the ⟨x3⟩
                      moment.},
      month         = {Jul},
      date          = {2024-07-28},
      organization  = {The 41st International Symposium on
                       Lattice Field Theory, Liverpool (UK),
                       28 Jul 2024 - 3 Aug 2024},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / DFG project
                      G:(GEPRIS)460248186 - PUNCH4NFDI - Teilchen, Universum,
                      Kerne und Hadronen für die NFDI (460248186)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(GEPRIS)460248186},
      typ          = {PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
      doi          = {10.22323/1.466.0336},
      url          = {https://juser.fz-juelich.de/record/1037140},
}