Speaker
Description
Generalized parton distributions (GPDs) are important quantities that characterize the 3-D structure of hadrons, and complement the information extracted from TMDs. They provide information about the partons’ momentum distribution and also on their distribution in position space. Most of the information from lattice QCD is on the Mellin moments of GPDs, namely form factors and their generalizations. Recent developments in calculations of matrix elements of boosted hadrons coupled with non-local operators opened a new direction for extracting the x dependence of GPDs.
In this talk, we present the evolution of lattice results on proton GPDs highlighting the advances in the field and presenting a new promising approach to extract GPDs for a dense range of their parameters. This method utilizes a Lorentz invariant parametrization that leads to more effective calculations of GPDs applicable for any kinematic frame, with freedom in the transferred momentum distribution. All results have been extracted using one ensemble of 𝑁𝑓=2+1+1 twisted mass fermions with a clover improvement. The value of the light-quark masses leads to a pion mass of about 260 MeV.
