  Perturbative matching relates the parton quasi-distributions, defined by
Euclidean correlators at finite hadron momenta, to the light-cone distributions
which are accessible in experiments. Previous matching calculations have
exclusively focused on twist-2 distributions. In this work, we address, for the
first time, the one-loop matching for the twist-3 parton distribution function
$g_T(x)$. The results have been obtained using three different infrared
regulators, while dimensional regularization has been adopted to deal with the
ultraviolet divergences. We present the renormalized expressions of the
matching coefficient for $g_{T}(x)$ in the $\overline{\rm MS}$ and modified
$\overline{\rm MS}$ schemes. We also discuss the role played by a zero-mode
contribution. Our results have already been used for the extraction of $g_T(x)$
from lattice QCD calculations.
