Theory Seminar: Shohini Bhattacharya

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Speaker: Shohini Bhattacharya (Temple University)

Title: An exploratory study of twist-3 PDFs using quasi-PDF approach

Abstract: 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). 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 theoretical foundations for dealing with such zero-mode contributions in matching-type calculations. Finally, we present the first-ever x-dependent twist-3 results.