Lattice QCD on 3D Structure

The transverse-momentum-dependent parton distributions (TMDs) provide a 3D imaging of the proton in high-energy scattering experiments such as those at Fermilab, Jefferson Lab, RHIC, LHC and the future Electron-Ion Collider. Recent years have seen much progress in the global fitting of TMDs from experiments, and along with that is a lattice QCD program aiming at first-principles calculation of these quantities, especially in the non-perturbative domain. Thanks to the breakthroughs in theory, notably the large-momentum effective theory (LaMET), it is now feasible to calculate both quark and gluon TMDs from a set of lattice TMDs through effective theory matching. In this talk, I will introduce the LaMET framework for TMD calculation, and review the recent progress in calculating the Collins-Soper evolution kernel for TMD evolution, as well as the soft factor and full TMDs.