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

Understand

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.