Journal Article

FZJ-2026-04483

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Gradient Flow for Parton Distribution Functions: First Application to the Pion

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

2026
APS College Park, Md.

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Please use a persistent id in citations: doi:10.1103/z3wr-zk8n  doi:10.34734/FZJ-2026-04483

Abstract: Parton distribution functions (PDFs) are central to precision QCD phenomenology. Their Mellin moments can be computed on the lattice, but direct determinations using local operators, besides ⟨x⟩, face severe challenges from reduced hypercubic symmetry, limiting results to the lowest moments. A recently proposed method resolves these issues using gradient flow. We demonstrate the efficacy of this method by computing ratios of flavor non-singlet pion PDF moments up to $⟨x^5⟩$, on four lattice spacings at $m_\pi$≃411 MeV. The moments and reconstructed PDF agree quantitatively with recent phenomenological extractions.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)
2. Center for Advanced Simulation and Analytics (CASA)

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 (PUNCH4NFDI) (460248186) (460248186)

Appears in the scientific report 2026

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Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Electronics and Telecommunications Collection ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; Nationallizenz ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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