Twist-3 partonic distributions from lattice QCD

TL;DR

This paper presents a lattice QCD study of twist-3 partonic distributions, providing new insights into nucleon structure through the calculation of $g_T(x)$, $h_L(x)$, and related distributions using the quasi-distribution approach.

Contribution

First lattice QCD exploration of twist-3 PDFs and GPDs, employing the quasi-distribution method and developing a matching procedure to connect lattice results to light-cone distributions.

Findings

Calculated twist-3 PDFs $g_T(x)$ and $h_L(x)$ from lattice QCD.

Presented preliminary results on twist-3 GPD $ ilde{G}_2(x)$.

Tested the Wandzura-Wilczek approximation for twist-2 counterparts.

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.