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001037140 0247_ $$2datacite_doi$$a10.34734/FZJ-2025-00487
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001037140 1001_ $$0P:(DE-HGF)0$$aFrancis, Anthony$$b0
001037140 1112_ $$aThe 41st International Symposium on Lattice Field Theory$$cLiverpool$$d2024-07-28 - 2024-08-03$$gLATTICE2024$$wUK
001037140 245__ $$aProbing higher moments of pion parton distribution functions
001037140 260__ $$bSissa Medialab Trieste, Italy$$c2024
001037140 29510 $$aProceedings of The 41st International Symposium on Lattice Field Theory — PoS(LATTICE2024)
001037140 300__ $$a15
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001037140 520__ $$aWe 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.
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001037140 7001_ $$0P:(DE-HGF)0$$aFritzsch, Patrick$$b1
001037140 7001_ $$0P:(DE-HGF)0$$aKarur, Rohith$$b2
001037140 7001_ $$0P:(DE-HGF)0$$aKim, Jangho$$b3
001037140 7001_ $$0P:(DE-Juel1)195916$$aPederiva, Giovanni$$b4$$ufzj
001037140 7001_ $$0P:(DE-HGF)0$$aPefkou, Dimitra$$b5$$eCorresponding author
001037140 7001_ $$0P:(DE-HGF)0$$aRago, Antonio$$b6
001037140 7001_ $$0P:(DE-Juel1)161205$$aShindler, Andrea$$b7$$eCorresponding author
001037140 7001_ $$0P:(DE-HGF)0$$aWalker-Loud, André$$b8
001037140 7001_ $$0P:(DE-HGF)0$$aZafeiropoulos, Savvas$$b9
001037140 773__ $$a10.22323/1.466.0336$$v466
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001037140 9141_ $$y2024
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