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The quasi-PDF approach, proposed by Ji in 2013, has sparked a new wave of interest in extracting PDFs from lattice QCD. This approach relies on the extraction of matrix elements of fast-moving hadrons coupled to space-like separated quark fields. Such auxiliary quantities can be related to the light-cone PDFs using a perturbative procedure called matching. This procedure has demonstrated success in the extraction of the twist-2 PDFs as well as twist-2 GPDs from lattice QCD. We explore the formalism of matching, for the first time, for the twist-3 PDFs g_T(x), e(x) and h_L(x). Regarding the theoretical aspects of such matching-type calculations, we make several non-trivial observations, all of which arise from the singular zero-mode contributions present in the perturbative results of the light-cone and quasi-PDFs. As such, we lay the necessary (non-trivial) theoretical foundations for dealing with such zero-mode contributions in matching-type calculations. From the lattice side, we also present the first-ever x-dependent twist-3 results. Finally, we also address the validity and the violation of the Burkhardt-Cottingham-type sum rules in perturbative model calculations.
Webinar at https://us02web.zoom.us/j/81572103194?pwd=eE1QVWZFc1hWbWszZ2N0RW1iWHFBZz09