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

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 $C_F^N{\bar{\alpha }}_s^N,(N\ge 1)$ 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.

Comments: 5 p., LATEX file.