We discuss the phenomenology of initial-state parton-k(T) broadening in dir
ect-photon production and related processes in hadron collisions. After a b
rief summary of the theoretical basis for a Gaussian-smearing approach, we
present a systematic study of recent results on fixed-target and collider d
irect-photon production, using complementary data on diphoton and pion prod
uction that provide empirical guidance on the required amount of k(T) broad
ening. This approach provides a consistent description of the observed patt
ern of deviation of next-to-leading order QCD calculations relative to the
direct-photon data, and accounts for the shape and normalization difference
between fixed-order perturbative calculations and the data. We also discus
s the uncertainties in this phenomenological approach, the implications of
these results on the extraction of the gluon distribution of the nucleon, a
nd the comparison of our findings to recent related work. [S0556-2821(99)03
805-9].