Zero modes and matching for the twist-3 PDFs

Journal Article · Tue Jul 12 00:00:00 EDT 2022 · SciPost Physics Proceedings

DOI:https://doi.org/10.21468/SciPostPhysProc.8.056· OSTI ID:1875950

Bhattacharya, Shohini ^[1]; Cichy, Krzysztof ^[2]; Constantinou, Martha ^[1]; Metz, Andreas ^[1]; Scapellato, Aurora ^[1]; Steffens, Fernanda ^[3]

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1. Temple University
2. Adam Mickiewicz University
3. University of Bonn

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) $g_T\left(x\right)$ , e(x) $e\left(x\right)$ and h_{L}(x) $h_L\left(x\right)$ . 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.

• Sponsoring Organization: USDOE
• Grant/Contract Number: SC0020405
• OSTI ID: 1875950
• Journal Information: SciPost Physics Proceedings, Journal Name: SciPost Physics Proceedings Journal Issue: 8; ISSN 2666-4003
• Publisher: Stichting SciPost
• Country of Publication: Netherlands
• Language: English