  One particle inclusive cross sections in the target fragmentation region are
considered and an explicit calculation is performed in (\phi^3)_6 model field
theory. The collinear divergences can be correctly absorbed into a parton
density and a fragmentation function but the renormalized cross section gets a
large logarithmic correction as expected in a two scale regime. We find that
the coefficient of such a correction is precisely the scalar DGLAP kernel.
Furthermore the consistency of this result with an extended factorization
hypothesis is investigated.

High Energy Physics - Phenomenology