P. Abreu et al., MEASUREMENT OF THE QUARK AND GLUON FRAGMENTATION FUNCTIONS IN Z(0) HADRONIC DECAYS, The European Physical Journal. C: Particles and Fields, 6(1), 1999, pp. 19-33
The transverse, longitudinal and asymmetric components of the fragment
ation function are measured from the inclusive charged particles produ
ced in e(+)e(-) collisions at LEP. As in deep inelastic scattering, th
ese data are important for tests of QCD. The transverse sigma(T) and l
ongitudinal sigma(L) components of the total hadronic cross section si
gma(tot) are evaluated from the measured fragmentation functions. They
are found to be a sigma(T)/sigma(tot) = 0.949 +/- 0.001(stat.) +/- 0.
007(syst.) and sigma(L)/sigma(tot) = 0.051 +/- 0.001(stat.) +/- 0.007(
syst.) respectively. The strong coupling constant is calculated from s
igma(L)/sigma(tot) in next-to-leading order of perturbative QCD, givin
g alpha(s)(M-Z) = 0.120 +/- 0.002(stat.) +/- 0.013(syst.) +/- 0.007(sc
ale). Including non-perturbative power corrections :leads to alpha(s)(
M-Z) = 0.101 +/- 0.002(stat.) +/- 0.013(syst.) +/- 0.007(scale). The m
easured transverse and longitudinal components of the fragmentation fu
nction are used to estimate the mean charged multiplicity, [n(ch)] = 2
1.21 +/- 0.01(stat.)+/- 0.20(syst.) The fragmentation functions and mu
ltiplicities in bb and light quark events are compared. The measured t
ransverse and longitudinal components of the fragmentation function al
low the gluon fragmentation function to be evaluated.