Hadron distributions in the reactions hadron + hadron → lepton pair + hadrons and two virtual photons → hadrons, and tests of the parton model

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Abstract
The parton-model description of final-state hadron distributions can be characterized in terms of a few fragmentation regions and plateaus. We discuss such distributions in the reactions hadron + hadron → lepton pair + hadrons and virtual photon + virtual photon → hadrons; we also compare different distributions as tests of the parton model, and discuss kinematical conditions for the validity of the asymptotic descriptions of the distributions and the tests. From this discussion, we conclude that most of these asymptotic descriptions may be valid only at extremely high energies and a good nonasymptotic model is probably needed to describe these final-state hadron distributions at presently available energies.