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Zero modes and matching for the twist-3 PDFs
by Shohini Bhattacharya, Krzysztof Cichy, Martha Constantinou, Andreas Metz, Aurora Scapellato, Fernanda Steffens
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Submission summary
| Authors (as registered SciPost users): | Shohini Bhattacharya |
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| Preprint Link: | scipost_202107_00074v1 (pdf) |
| Date accepted: | 2022-03-23 |
| Date submitted: | 2021-07-28 16:20 |
| Submitted by: | Bhattacharya, Shohini |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 28th Annual Workshop on Deep-Inelastic Scattering (DIS) and Related Subjects (DIS2021) |
| Ontological classification | |
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| Academic field: | Physics |
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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 $g_{T}(x)$, $e(x)$ 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.
Published as SciPost Phys. Proc. 8, 056 (2022)
Anonymous on 2022-02-07 [id 2166]
I recommend publication without any modification.