  Collider observables involving heavy particles are subject to large
logarithmic terms near threshold, which must be summed to all orders in
perturbation theory to obtain sensible results. Relatively recently, this
resummation has been extended to next-to-leading power in the threshold
variable, using a variety of approaches. In this paper, we consider partonic
channels that turn on only at next-to-leading power, and show that it is
possible to resum leading logarithms using well-established diagrammatic
techniques in Quantum Chromodynamics. We first consider deep inelastic
scattering, where we reproduce the results of a recent study using an effective
theory approach. Next, we consider the quark-gluon channel in both Drell-Yan
and Higgs boson production, showing that an explicit all-order form for the
leading logarithmic partonic cross section can be obtained. Our results agree
with previous conjectures based on fixed-order results.

High Energy Physics - Phenomenology;High Energy Physics - Theory