RT Journal Article T1 Pion distribution functions from low-order Mellin moments A1 Lu, Ya A1 Xu, Yinzhen A1 Raya, Khépani A1 Roberts, Craig D. A1 Rodríguez Quintero, José AB Exploiting an evolution scheme for parton distribution functions (DFs) that is all-orders exact, contemporary lattice-QCD (lQCD) results for low-order Mellin moments of the pion valence quark DF are shown to be mutually consistent. The analysis introduces a means by which key odd moments can be obtained from the even moments in circumstances where only the latter are available. Combining these elements, one arrives at parameter-free lQCD-based predictions for the pointwise behaviour of pion valence, glue, and sea DFs, with sound uncertainty estimates. The behaviour of the pion DFs at large light-front momentum fraction, x>0.85, is found to be consistent with QCD expectations and continuum analyses of pion structure functions, i.e., damping like (1−x)βparton, with βvalence≈2.4, βglue≈3.6, βsea≈4.6. It may be possible to test these predictions using data from forthcoming experiments. PB Elsevier SN 0370-2693 SN 1873-2445 (electrónico) YR 2024 FD 2024-02 LK https://hdl.handle.net/10272/23641 UL https://hdl.handle.net/10272/23641 LA eng NO Lu, Y., Xu, Y.-Z., Raya, K., Roberts, C. D., & Rodríguez-Quintero, J. (2024). Pion distribution functions from low-order Mellin moments. In Physics Letters B (Vol. 850, p. 138534). Elsevier BV. https://doi.org/10.1016/j.physletb.2024.138534 NO We are grateful to Z.-F. Cui and J.-H. Zhang for valuable discussions.Work supported by: National Natural Science Foundation ofChina (grant nos. 12135007, 12205149); Spanish Ministry of Scienceand Innovation (MICINN) (grant no. PID2022-140440NB-C22); Juntade Andalucía (grant no. P18-FR-5057); and STRONG-2020 “The stronginteraction at the frontier of knowledge: fundamental research andapplications” which received funding from the European Union’s Horizon2020 research and innovation programme (grant agreement no.824093). DS Repositorio Institucional de la Universidad de Huelva RD 31 may 2026