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One particle cross section in the target fragmentation region: an explicit calculation in (ϕ^3)_6

One particle inclusive cross sections in the target fragmentation region are considered and an explicit calculation is performed in (ϕ^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.

preprint1997arXivOpen access
M. Grazzini
hep-ph
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M. Grazzini

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