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On Connection between Coefficient Functions for Deep-Inelastic and Annihilation Processes

G. T. Gabadadze·A. L. Kataev
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Abstract

It has been shown that the one-loop behavior of the axial anomaly, occurring when the axial current is appropriately normalized, leads to the cancellation of the corrections of type $C_F^N{\bar α}_s^N,~~ (N\geq 1) $ in the Crewther relation for the coefficient functions of deep-inelastic and annihilation processes. The arguments in favour of the overall factorization of the factor $β({\bar α}_s)/ {\bar α}_s$ in all orders of perturbation theory in this relation are presented.

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G. T. Gabadadze, A. L. Kataev. 1995-02-24. On Connection between Coefficient Functions for Deep-Inelastic and Annihilation Processes. https://arxiv.org/abs/hep-ph/9502384

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