One particle cross section in the target fragmentation region: an

 explicit calculation in (\phi^3)_6

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Abstract

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.

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High-energy predictions in quantum chromodynamics

A. Mueller, Subhash Gupta (1979)

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Phenomenology of Forward Hadrons in DIS: Fracture Functions and its \(Q^2\) Evolution

Daniel de Florian, Rodolfo Sassot (1997)

We analyse recent data on the production of forward neutrons in deep inelastic scattering at HERA in the framework of a perturbative QCD description for semi-inclusive processes, which includes fracture functions. Using a model estimate for the non-perturbative piece of the fragmentation process, in fairly good agreement with the available data, we analyse the \(Q^2\) dependence of the resulting fracture functions, which is driven by non-homogeneous 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.