Overview of lattice calculations of the x -dependence of PDFs, GPDs and TMDs

• Published in: EPJ Web of conferences Vol. 258; p. 1005
• Main Author: Cichy, Krzysztof
• Format: Journal Article
• Language: English
• Published: EDP Sciences 2022
• ISSN: 2100-014X; 2100-014X
• DOI: 10.1051/epjconf/202225801005

For a long time, lattice QCD was unable to address the x -dependence of partonic distributions, direct access to which is impossible in Euclidean spacetime. Recent years have brought a breakthrough for such calculations when it was realized that partonic light-cone correlations can be accessed through spatial correlations computable on the lattice. Appropriately devised observables can be factorized into physical PDFs via a perturbative procedure called matching, analogous to the standard factorization of experimental cross sections. In this short review, aimed at a broader high-energy and nuclear physics community, we discuss the recent highlights of this research program. Key concepts are outlined, followed by a case study illustrating the typical stage of current lattice extractions and by a brief review of the most recent explorations. We finalize with a number of messages for the prospects of lattice determinations of partonic structure.