Abstract
The order α s 2 contributions to the coefficient functions corresponding to the asymmetric fragmentation function F A ( x, Q 2) in e + e − annihilation are calculated. From this calculation we infer that the order ( α s 4π ) 2 correction to the flavour asymmetry sum rule is non-vanishing and amounts to −12 β 0 C F ζ(3). We also study the effect of the higher order QCD corrections on F A ( x, Q 2) and compare them with the OPAL data. The latter put a strong constraint on the valence part of the fragmentation densities D q H ( x, μ 2).
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