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 h1(x), we calculate h1(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 M. Meyer-Hermann et al., hep-ph/0012226. We emphasize the importance of quark mass in h1(x) in perturbative QCD and show its connection with a part of gT.