The role of zero-mode contributions in the matching for the twist-3 PDFs e(x) and hL(x)

The perturbative procedure of matching was proposed to connect parton quasidistributions that are calculable in lattice QCD to the corresponding light cone distributions which enter physical processes. Such a matching procedure has so far been limited to the twist-2 distributions. Recently, we addressed the matching for the twist-3 PDF g(T)(x). In this work, we extend our perturbative calculations to the remaining twist-3 PDFs, e(x) and h(L) (x). In particular, we discuss the nontrivialities involved in the calculation of the singular zero-mode contributions for the quasi-PDFs.