P. Abreu et al., DETERMINATION OF ALPHA-S FROM THE SCALING VIOLATION IN THE FRAGMENTATION FUNCTIONS IN E- ANNIHILATION(E), Physics letters. Section B, 311(1-4), 1993, pp. 408-424
A determination of the hadronic fragmentation functions of the Z0 boso
n is presented from a study of the inclusive hadron production with th
e DELPHI detector at LEP. These fragmentation functions were compared
with the ones at lower energies, thus covering data in a large kinemat
ic range: 196 less-than-or-equal-to Q2 less-than-or-equal-to 8312 GeV2
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 ord
er QCD: alpha(s)(M(Z)) = 0.118 +/- 0.005. The corresponding QCD scale
for five quark flavours is: LAMBDA(MS)(5)BAR = 230 +/- 60 MeV.