Journal Article

FZJ-2026-05066

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD

Taggi, E. (Corresponding author)FZJ* ; Engelhardt, M. ; Green, J. R. ; Krieg, S.FZJ* ; Meinel, S. ; Negele, J. W. ; Pochinsky, A. ; Rodekamp, M. ; Syritsyn, S.

2026
American Physical Society Ridge, NY

This record in other databases:  

Please use a persistent id in citations: doi:10.1103/kknt-zxsw  doi:10.34734/FZJ-2026-05066

Abstract: Using forward matrix elements of local leading-twist operators, we present a determination of the isovector third Mellin moments $⟨x^2⟩$ of nucleon unpolarized, polarized, and transversity parton distribution functions. Two lattice QCD ensembles at the physical pion mass are used, which were generated using a tree-level Symanzik-improved gauge action and $2+1$ flavor tree-level improved Wilson clover fermions coupling via two-level HEX smearing. Leveraging a wide set of operators, two extraction methods for the matrix elements, and the automatic inclusion of model uncertainties via bootstrapped model averages, we extract values of the third Mellin moments. This is the first direct calculation of these observables performed at the physical pion mass.

---

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)533766364 - EXC 3107 Color meets Flavor - Suche nach neuen Phänomenen in der starken und schwachen Wechselwirkung (533766364) (533766364)
3. NRW-FAIR (NW21-024-A) (NW21-024-A)
4. AIDAS - Joint Virtual Laboratory for AI, Data Analytics and Scalable Simulation (aidas_20200731) (aidas_20200731)
5. CmFEXN - Color-meets-flavor Exzellenznetzwerk (EXNET-01-07) (EXNET-01-07)

Appears in the scientific report 2026

---

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 ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

---