TY  - CONF
AU  - Francis, Anthony
AU  - Fritzsch, Patrick
AU  - Karur, Rohith
AU  - Kim, Jangho
AU  - Pederiva, Giovanni
AU  - Pefkou, Dimitra
AU  - Rago, Antonio
AU  - Shindler, Andrea
AU  - Walker-Loud, André
AU  - Zafeiropoulos, Savvas
TI  - Probing higher moments of pion parton distribution functions
VL  - 466
PB  - Sissa Medialab Trieste, Italy
M1  - FZJ-2025-00487
SP  - 15
PY  - 2024
AB  - 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.
T2  - The 41st International Symposium on Lattice Field Theory
CY  - 28 Jul 2024 - 3 Aug 2024, Liverpool (UK)
Y2  - 28 Jul 2024 - 3 Aug 2024
M2  - Liverpool, UK
LB  - PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
DO  - DOI:10.22323/1.466.0336
UR  - https://juser.fz-juelich.de/record/1037140
ER  -