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

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

1995-02-24

arxiv.org/abs/hep-ph/9502384v1

JETP Lett. 61 (1995) 448-452; Pisma Zh.Eksp.Teor.Fiz. 61 (1995) 439

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 p., LATEX file.

Scientific paper

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 \alpha}_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 $\beta({\bar \alpha}_s)/ {\bar \alpha}_s$ in all orders of perturbation theory in this relation are presented.

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