Hadronisation effects in event-shape moments

We study the moments of hadronic event shapes in e(+)e(-) annihilation within the context of next-to-next-to-leading order (NNLO) perturbative QCD predictions combined with non-perturbative power corrections in the dispersive model. This model is extended to match the NNLO perturbative prediction. The resulting theoretical expression has been compared to experimental data from JADE and OPAL, and a new value for alpha(s) (M-Z) has been determined, as well as of the average coupling alpha(0) in the non-perturbative region below mu(I) = 2 GeV within the dispersive model: alpha(s)(M-Z) = 0.1153 +/- 0.0017(exp) +/- 0.0023(th), alpha(0) = 0.5132 +/- 0.0115(exp) +/- 0.0381(th). The precision of the alpha(s)(M-Z) value has been improved in comparison to the previously available next-to-leading order analysis. We observe that the resulting power corrections are considerably larger than those estimated from hadronisation models in multi-purpose event generator programs.