The nucleon unpolarized generalized form factors and Mellin moments up to fourth order

Constantia Alexandrou; Simone Bacchio; Martha Constantinou; Christian Kummer; Yan Li; Gregoris Spanoudes

The nucleon unpolarized generalized form factors and Mellin moments up to fourth order

High Energy Physics - Lattice 2026-07-03 v1

Authors: Constantia Alexandrou , Simone Bacchio , Martha Constantinou , Christian Kummer , Yan Li , Gregoris Spanoudes

Abstract

Nucleon Mellin moments of parton distribution are computed up to the fourth order in lattice QCD. The computation is performed using one ensemble of twisted mass fermions at the physical pion mass point. We employ boosted frames to access the higher-order Mellin moments of generalized parton distributions. We also extract the forward-limit Mellin moments $\langle x^{n-1}\rangle$ for $n=2,3,4$ . These Mellin moments are used to construct unpolarized parton distribution functions and compare to phenomenological extractions.

Keywords

nucleon Mellin moments generalized form factors lattice QCD parton distribution functions twisted mass fermions physical pion mass boosted frames

Cite

@article{arxiv.2607.03458,
  title  = {The nucleon unpolarized generalized form factors and Mellin moments up to fourth order},
  author = {Constantia Alexandrou and Simone Bacchio and Martha Constantinou and Christian Kummer and Yan Li and Gregoris Spanoudes},
  journal= {arXiv preprint arXiv:2607.03458},
  year   = {2026}
}