  We survey the current phenomenological status of semi-inclusive deep
inelastic scattering at moderate hard scales and in the limit of very large
transverse momentum. As the transverse momentum becomes comparable to or larger
than the overall hard scale, the differential cross sections should be
calculable with fixed order pQCD methods, while small transverse momentum (TMD
factorization) approximations should eventually break down. We find large
disagreement between HERMES and COMPASS data and fixed order calculations done
with modern parton densities, even in regions of kinematics where such
calculations should be expected to be very accurate. Possible interpretations
are suggested.
