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$O(\alpha_s^2)$ Contributions to the asymmetric fragmentation function in $e^+e^-$ annihilation
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abstract
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 $D_q^H(x,\mu^2)$.
Forward citations
Cited by 3 Pith papers
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Determination of Fragmentation Functions from Charge Asymmetries in Hadron Production
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Dihadron Angular Correlations in the $e^+e^-$ Collision
The paper derives the first complete O(alpha_s^2) analytic QCD corrections to the dihadron angular separation distribution in e+e- annihilation, with verified cancellation of infrared poles.
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