  We assess and compare different methods for including leading threshold
logarithms at next-to-leading-power in prompt photon production at hadron
colliders, for both the direct and parton fragmentation mechanisms. We do this
in addition to next-to-leading logarithmic threshold and joint resummation at
leading power. We study the size of these effects and their scale variations
for LHC kinematics. We find that the next-to-leading power effects have a
noticeable effect on the photon transverse momentum distribution, typically of
order $\mathcal{O}(10\%)$, depending on the method of inclusion. Our results
indicate that next-to-leading power terms can reduce the scale dependence of
the distribution considerably.
