Extraction of genuine twist-3 distribution from data

The report on an extraction of genuine twist-three parton distributions, obtained from a joint fit of the deep-inelastic scattering (DIS) structure function $g_2$, its moment $d_2$, and the Sivers and worm-gear-T asymmetries measured in semi-inclusive DIS (SIDIS). These four observables probe different sections of the same twist-three distributions, and thus their joint analysis makes a precision extraction of this two-variable function possible. Considering a sub-set of observables does not constrain the twist-three distribution in all its parts. Nonetheless, such consideration places a sufficient amount of restrictions to sufficiently accurately estimate eliminated observables, explicitly demonstrating the universality of twist-three distributions.