TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.8.056
TI  - Zero modes and matching for the twist-3 PDFs
PY  - 2022/07/12
UR  - https://scipost.org/SciPostPhysProc.8.056
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 8
SP  - 056
A1  - Bhattacharya, Shohini
AU  - Cichy, Krzysztof
AU  - Constantinou, Martha
AU  - Metz, Andreas
AU  - Scapellato, Aurora
AU  - Steffens, Fernanda
AB  - 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 $g_{T}(x)$, $e(x)$ and $h_{L}(x)$. 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.
ER  -

@Article{10.21468/SciPostPhysProc.8.056,
	title={{Zero modes and matching for the twist-3 PDFs}},
	author={Shohini Bhattacharya and Krzysztof Cichy and Martha Constantinou and Andreas Metz and Aurora Scapellato and Fernanda Steffens},
	journal={SciPost Phys. Proc.},
	pages={056},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.8.056},
	url={https://scipost.org/10.21468/SciPostPhysProc.8.056},
}