The One-Dimensional Structure of Hadrons from Lattice QCD

Since the introduction of the LaMET framework by Xiangdong Ji a decade ago, there has been a revolution in our ability to quantitatively understand the internal structure of hadrons, characterized by the matrix elements of operators separated along the light cone. In this talk, I begin with describing an alternative framework, that of pseudo-PDF, employing short-distance factorization. I then present a program of calculations by the HadStruc collaboration to compute the one-dimensional distributions of the nucleon, including the isovector unpolarized and helicity PDFs and the transversity, and of the pion. Notably, I describe recent calculations of the gluon contributions to nucleon structure. I conclude by exploring a combined analysis of lattice QCD calculations and experimental data in furthering our understanding of the internal structure of nucleon and pion structure