Reconstructing GPDs from their Moments

GPDs are the most important tool in understanding the internal structure of nucleons; however, they cannot be accessed directly. The DVCS amplitude encodes information on the Compton Form Factors (CFFs), which are convolutions of the GPD with a hard perturbative piece. Thus, by measuring the DVCS cross section, we gain access to the CFFs, not the GPDs. Alternatively, one can measure correlation functions in lattice QCD to obtain Gravitational Form Factors (GFFs), which through Mellin moments can be inverted to give the GPDs. This inversion is very non-trivial. Here, we use an alternative approach to reconstruct the GPDs via a set of orthogonal polynomials - the Bernstein polynomials.