Speaker
Description
Gluon generalized parton distributions (GPDs) are important quantities for understanding the three-dimensional structure of hadrons. They encode information about the spatial distribution of gluons, as well as the mass and spin structure of hadrons, and provide access to the gluon contribution to orbital angular momentum, which is at the heart of the proton spin puzzle. In this talk, I will present initial progress toward a lattice-QCD calculation of gluon PDF and GPD of the pion. Gluon-related hadron structure observables have notoriously large statistical uncertainty. I will show preliminary results for unrenormalized pion PDF and GPD matrix elements, including both forward and off-forward cases, and examine gluon matrix elements relevant to the tensor decomposition of gluon GPD. These linear combinations provide the lattice input needed for the extraction of gluon GPDs. These matrix elements will be the starting point for further analysis, including renormalization, and matching to light-cone distributions.