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Twist-3 partonic distributions from lattice QCD

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arxiv 2107.12818 v1 pith:NOCQQNB4 submitted 2021-07-27 hep-lat hep-ph

Shohini Bhattacharya , Krzysztof Cichy , Martha Constantinou , Andreas Metz , Aurora Scapellato , Fernanda Steffens This is my paper · ORCID
classification hep-lathep-ph
keywords twist-3distributionslatticepartonicapplyingapproachapproximationcalculate
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

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 $g_T(x)$, and $h_L(x)$. We also present our preliminary results on the twist-3 GPD $\tilde{G}_2(x)$. 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 $g_T(x)$ and $h_L(x)$, i.e. $g_1(x)$, and $h_1(x)$, and test the Wandzura-Wilczek approximation.

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