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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
ABI

Abstract

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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