Finite corrections to quark fragmentation functions in perturbative QCD
Abstract
The finite corrections of order α_{ s } in perturbative QCD to the crosssections for semiinclusive hadron production from deep inelastic leptonhadron scattering and electronpositron annihilation are calculated. We define the effective quark fragmentation functions via e ^{+} e ^{} → hadron + X including the finite terms in order to estimate these corrections for the reactions lepton + hadron → lepton + hadron + anything. Contrary to the leading term the nexttoleading order term does not factorize into parts depending on the target and the fragment, respectively. For the processes e + p → e + π^{±} + X and v + p → μ ^{} + π^{±} + X the finite corrections of order α_{ s } turn out to be at most 20% in the range of momenta covered by present experiments.
 Publication:

Zeitschrift fur Physik C Particles and Fields
 Pub Date:
 December 1979
 DOI:
 10.1007/BF01545897
 Bibcode:
 1979ZPhyC...2..339B