Twist-3 partonic distributions from lattice QCD

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

DOI:https://doi.org/10.21468/SciPostPhysProc.8.057· OSTI ID:1875957

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

Twist-3 partonic distributions contain important information that characterizes nucleon’s structure. In this work, we show our lattice exploration of the twist-3 PDFs g_T(x) $g_T\left(x\right)$ , and h_L(x) $h_L\left(x\right)$ . We also present our preliminary results on the twist-3 GPD \tilde{G}_2(x) ${\tilde{G}}_2\left(x\right)$ . We use the quasi-distribution approach to connect the lattice-extracted matrix elements, renormalized in the RI/MOM scheme, to light-cone distributions, applying the matching procedure that we developed in parallel. We also calculate the twist-2 counterparts of g_T(x) $g_T\left(x\right)$ and h_L(x) $h_L\left(x\right)$ , i.e.  g_1(x) $g_1\left(x\right)$ , and h_1(x) $h_1\left(x\right)$ , and test the Wandzura-Wilczek approximation.

• Sponsoring Organization: USDOE
• Grant/Contract Number: SC0020405
• OSTI ID: 1875957
• 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