$O(α_s^2)$ Contributions to the asymmetric fragmentation function in $e^+e^-$ annihilation

Details $O(α_s^2)$ Contributions to the asymmetric fragmentation function in $e^+e^-$ annihilation $O(α_s^2)$ Contributions to the asymmetric fragmentation function in $e^+e^-$ annihilation

1996-09-17

arxiv.org/abs/hep-ph/9609379v1

Phys.Lett.B392:207-215,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, latex2e, uses mcite, amsfonts. PostScript version also available at http://rulgm4.leidenuniv.nl/preprints/asymmfrag.

Scientific paper

10.1016/S0370-2693(96)01529-8

The order \alpha_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 $(\alpha_s/4\pi)^2$ correction to the flavour asymmetry sum rule is non vanishing and amounts to $-12\beta_0C_F\zeta(3)$. 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 $D_q^H(x,\mu^2)$.

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