Generalized TMDs and Wigner Functions

Generalized TMDs (GTMDs) of hadrons are the most general two-parton correlation functions. The Fourier transforms of GTMDs are partonic Wigner functions. Both GTMDs and Wigner functions were only briefly mentioned in the EIC White Paper¹, but in the meantime, several interesting developments have happened in this field. In this write-up, we give a very brief overview of these objects and address the question whether they can play an important role for the EIC science case. To answer this question we discuss the presently known physics content of GTMDs and Wigner functions, as well as observables that are sensitive to these quantities.