Scaling Violation in the Fragmentation Functions in e+e- Annihilation

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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IEKP-KA/93-8 preprint latex + eps fig (epsf macros)

Scientific paper

A determination of the hadronic fragmentation functions of the Z-boson is presented from a study of the inclusive hadron production wit the DELPHI detector at LEP. These fragmentation functions were compared with the ones at lower energies, thus covering data in a large kinematic range: 196 <= Q^2 <= 8312 GeV^2 and x(= p_h/E_beam) > 0.08 A large scaling violation was observed, which was used to extract the strong coupling constant in second order QCD: alpha_s(Mz) =0.118 +\- 0.005. The corresponding QCD scale for five quark flavours is: Lambda_MS_bar = 230 +/- 60 MeV.

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