Parton distributions and lattice-QCD calculations: Toward 3D structure

The strong force which binds hadrons is described by the theory of Quantum Chromodynamics (QCD). Determining character and manifestations QCD one most important challenging outstanding issues necessary for a comprehensive understanding structure hadrons. Within context parton picture, Parton Distribution Functions (PDFs) have been remarkably successful in describing wide variety processes. However, these PDFs generally confined to description collinear partons within hadron. New experiments facilities provide opportunity additionally explore transverse Generalized Distributions (GPDs) Transverse Momentum Dependent (TMD PDFs). In our previous review, we compared contrasted two main approaches used determine PDFs: first based on perturbative factorization theorems, second lattice calculations. present report, an update recent progress PDFs, also expand scope encompass generalized (GPDs TMD We review current state various calculations, consider what new data might be available near future. examine how shared effort can foster dialog between PDF Lattice communities, yield improvements PDFs.