  Quantum Chromodynamics predicts radiative terms which, at low transverse
momentum of an observed multi-particle system, can be large enough to threaten
the legitimacy of a fixed-order perturbative treatment. We present a
subtraction-style calculation which sums these terms to all orders for a direct
photon plus jet final state, and show that the kinematic effect of such a
resummation is significant even after integration over the jet. An improved
matching algorithm is prescribed for the transition to the perturbative regime,
and re-examination of the nonperturbative regime indicates that simple Gaussian
parametrizations are to be favored, with coefficients that depend not on the
photon-jet mass, but on the color structure of the initiated subprocess.
Agreement with data is significantly improved, and the method is expected to
have applicability in general for processes with steeply-falling spectra.
