Speaker
Description
Femtography is the study of 3D femtometer scale images of the proton. Impact Parameter Distributions describe parton structure in terms of the parton's fraction of the total momenta and the location in the transverse plane. These images can be taken by Deeply Virtual Compton Scattering and other inclusive processes and give light on how mass, angular momentum, and mechanical properties are distributed within the proton. Their phenomenological extraction is hindered by an intractable modeling problem known as shadow-GPDs. Lattice QCD calculable matrix elements allow for the extraction of Generalized Parton Distributions whose Fourier transform gives the impact parameter distribution with such a modeling problem. By calculating over a hundred kinematical configurations, we provide the first 3D model of the GPD's x, xi, and t dependence determined from lattice QCD. The Gaussian Process Regression used in the inverse problem will be highlighted as a highly flexible approach consistent with the features of the system such as polynomiality.