Contribution to a conference proceedings/Contribution to a book

FZJ-2025-00487

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Probing higher moments of pion parton distribution functions

Francis, A. ; Fritzsch, P. ; Karur, R. ; Kim, J. ; Pederiva, G.FZJ* ; Pefkou, D. (Corresponding author) ; Rago, A. ; Shindler, A. (Corresponding author) ; Walker-Loud, A. ; Zafeiropoulos, S.

2024
Sissa Medialab Trieste, Italy

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Please use a persistent id in citations: doi:10.22323/1.466.0336  doi:10.34734/FZJ-2025-00487

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.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)
2. DFG project G:(GEPRIS)460248186 - PUNCH4NFDI - Teilchen, Universum, Kerne und Hadronen für die NFDI (460248186) (460248186)

Appears in the scientific report 2024

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