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Zero modes and matching for the twist-3 PDFs

Cichy, Krzysztof
Metz, Andreas
Steffens, Fernanda
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Journal article
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2022-07-12
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Physics
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http://dx.doi.org/10.21468/scipostphysproc.8.056
Abstract
The quasi-PDF approach, proposed by X. Ji in 2013, has made it possible to directly extract light-cone PDFs from lattice QCD. This approach relies on the extraction of matrix elements of space-like operators for fast-moving hadrons. Quasi-PDFs can be related to the light-cone PDFs through a perturbatively calculable matching coefficient. We explore the formalism of matching, for the very first time, for the twist-3 PDFs gT(x), e(x) and hL(x). In this work, we address the non-trivialities involved in the extraction of the matching coefficient due to the presence of (singular) zero-mode contributions.
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SciPost Physics Proceedings, Vol. 8
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