Soft-gluon corrections for the associated production of a single top quark and a Higgs boson

We discuss soft-gluon resummation for the associated production of a single top quark and Higgs boson ($tqH$ production) in single-particle-inclusive (1PI) kinematics. present analytical results higher-order corrections numerical cross sections at LHC energies. calculate approximate NNLO total rates, including scale dependence uncertainties from parton distributions, as well top-quark transverse-momentum rapidity distributions. In all cases we find that are dominant provide important contributions to differential sections.