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

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 $⟨x^{n-1}⟩$ for $n=2,3,4$. These Mellin moments are used to construct unpolarized parton distribution functions and compare to phenomenological extractions.