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Perturbation theory and the parton model in QCD
Authors:R.Keith Ellis  Howard Georgi  Marie Machacek  H.David Politzer  Graham G. Ross
Affiliation:Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA;Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138, USA;Charles C. Lauritsen Laboratory of High Energy Physics, California Institute of Technology, Pasadena, California 91125, USA
Abstract:We prove that for any process which admits a parton-model interpretation, the naive parton model can be modified to include the effects of QCD interactions to all orders in perturbation theory. This requires that the mass singularities in quark and gluon inclusive cross sections factor into universal functions which renormalize the naive parton model distribution and decay functions. We prove that this factorization takes place for all leading and non-leading logs and thus check consistency of the parton model to all orders in perturbation theory.
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