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1. Parton distributions need representative sampling

   https://doi.org/10.1103/PhysRevD.107.034008  

   Courtoy, Aurore; Huston, Joey; Nadolsky, Pavel; Xie, Keping; Yan, Mengshi; Yuan, C.-P. (February 2023, Physical Review D)
2. Parton Distribution Functions and Lattice QCD

   https://doi.org/10.1051/epjconf/201920601003  

   Lin, Huey-Wen; Yang, A.; Wang, W.Y.; Ng, S.C.C.; Chan, A.H.; Oh, C.H.; Phua, K.K. (January 2019, EPJ Web of Conferences)

   Recently, there have been rapid developments in lattice-QCD calculations of proton structure, especially in the parton distribution functions (PDFs). We overcame a longstanding obstacle and for the first time in lattice-QCD are able to directly calculate the Bjorken- x dependence of the quark, helicity and transversity distributions. The PDFs are obtained using the large-momentum effective field theory (LaMET) framework where the full Bjorken- x dependence of finite-momentum PDFs, called “quasi-PDFs”, can be calculated on the lattice. The quasi-PDF nucleon matrix elements are renormalized non-perturbatively in RI/MOM-scheme. Following a nonperturbative renormalization of the parton quasi-distribution in a regularization-independent momentum-subtraction scheme, we establish its matching to the $$ \overline {{\rm{MS}}} $$ PDF and calculate the non-singlet matching coefficient at next-to-leading order in perturbation theory. In this proceeding, I will show the progress that has been made in recent years, highlighting the latest state-of-the art PDF calculations at the physical pion mass. Future impacts on the large- x global PDF fits are also discussed. 

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3. Generalized Parton Distributions from Lattice QCD

   https://doi.org/10.5506/APhysPolBSupp.16.7-A6  

   Cichy, K; Bhattacharya, S; Constantinou, M; Dodson, J; Gao, X; Metz, A; Miller, J; Mukherjee, S; Scapellato, A; Steffens, F; et al (January 2023, Acta Physica Polonica B Proceedings Supplement)
4. Transversity parton distribution functions from lattice QCD

   https://doi.org/10.1103/PhysRevD.98.091503  

   Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha; Jansen, Karl; Scapellato, Aurora; Steffens, Fernanda (November 2018, Physical Review D)
5. Recent Progress in Lattice Parton-Distribution Calculations

   https://doi.org/10.22323/1.396.0276  

   Lin, Huey-Wen (May 2022, The 38th International Symposium on Lattice Field Theory (LATTICE2021))