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

Abstract

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.

latex, 16 pages including 8 postscript figures

References in corpus (1)

• Phenomenology of Forward Hadrons in DIS: Fracture Functions and its $Q^2$ Evolution

Cited by in corpus (4)

• Measurement of unpolarized semi-inclusive pi+ electroproduction off the proton
• Fracture Functions and Jet Calculus
• Scale dependence of the q and T parameters of the Tsallis distribution in the process of jet fragmentation
• Target Fragmentation in Semi-Inclusive DIS: Fracture Functions, Cut Vertices and the OPE