Transverse Momentum Dependent Parton Distribution Functions From Large Momentum Effective Theory

We show that the transverse momentum dependent parton distribution functions (TMDPDFs), important for understanding 3D hadron structure and describing high-energy experiments, can be formulated in the framework of the large-momentum effective theory(LaMET). We show that the quasi-TMDPDFs, calculable on lattice, factorize at large momentum limit into physical-TMDPDFs and reduced soft functions. We show that the reduced soft function can be realized as a form-factor and can be extracted by combining lattice calculable quasi-light-front wave functions and light-meson form-factors at large momentum transfer. This paves the wave for first-principle determination of TMDPDFs and Drell-Yan cross sections.