Quark Transversity Distribution in Perturbative QCD: Light-Front Hamiltonian Approach

To resolve the current ambiguity in the splitting function corresponding to the quark transversity distribution $h_1(x)$, we calculate $h_1(x)$ for a dressed quark in light-front Hamiltonian perturbation theory. Our result agrees with the expected form of the splitting function found in the literature and disagrees with the recent calculation in \cite{kuhn}. We emphasize the importance of quark mass in $h_1(x)$ in perturbative QCD and show its connection with a part of $g_T$.