@article{10272/23641,
year = {2024},
month = {2},
url = {https://hdl.handle.net/10272/23641},
abstract = {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.},
organization = {We are grateful to Z.-F. Cui and J.-H. Zhang for valuable discussions.
Work supported by: National Natural Science Foundation of
China (grant nos. 12135007, 12205149); Spanish Ministry of Science
and Innovation (MICINN) (grant no. PID2022-140440NB-C22); Junta
de Andalucía (grant no. P18-FR-5057); and STRONG-2020 “The strong
interaction at the frontier of knowledge: fundamental research and
applications” which received funding from the European Union’s Horizon
2020 research and innovation programme (grant agreement no.
824093).},
publisher = {Elsevier},
title = {Pion distribution functions from low-order Mellin moments},
doi = {10.1016/j.physletb.2024.138534},
author = {Lu, Ya and Xu, Yinzhen and Raya, Khépani and Roberts, Craig D. and Rodríguez Quintero, José},
}