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Phenomenology of forward hadrons in deep inelastic scattering: Fracture functions and its<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>Q</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>evolution

Daniel de FlorianTheoretical Physics Division, CERN, CH 1211, Geneva 23, SwitzerlandR. SassotTheoretical Physics Division, CERN, CH 1211, Geneva 23, Switzerland
1997lv
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We analyze recent data on the production of forward neutrons in deep inelastic scattering at DESY HERA in the framework of a perturbative QCD description for semi-inclusive processes, which includes fracture functions. Using a model estimate for the nonperturbative piece of the fragmentation process, in fairly good agreement with the available data, we analyze the ${Q}^{2}$ dependence of the resulting fracture functions, which is driven by nonhomogeneous evolution equations. We also propose a measurement of the pion production cross section in the target fragmentation region as a new test of perturbative QCD, which in this case predicts also a different ${Q}^{2}$ evolution with respect to the one given by the usual Altarelli-Parisi equations.

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