Speaker
Description
The internal structure of hadrons can be described in terms of structure functions that encode, for example, the momentum and spin distributions of their constituents. Parton distribution functions (PDFs) and Transverse Momentum Distributions (TMDs), for example, describe the quark and gluon momentum distributions inside a hadron. These distribution functions are, however, not easy to calculate, because they are defined on the light front, whereas most hadron calculations are performed in a Euclidean metric.
In this talk, we are present a new method we are developing to compute these parton distributions from hadronic matrix elements using contour deformations. We will illustrate the method for a simple system of two interacting scalar particles of equal mass. This calculation includes both self-consistent inputs: the Bethe-Salpeter amplitude (calculated from its Bethe-Salpeter Equation), and the four body scattering matrix (to access beyond valence contributions). We will also explore the steps needed for application to first principles QCD.