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

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

1997-09-11

arxiv.org/abs/hep-ph/9709312v1

Nucl.Phys. B518 (1998) 303-315

Physics

High Energy Physics

High Energy Physics - Phenomenology

latex, 16 pages including 8 postscript figures

Scientific paper

10.1016/S0550-3213(98)00120-5

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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