Abstract
On the basis of an eikonal approximation in configuration space we compute both the large- N behaviour of the quark fragmentation function and explicit soft gluon emission probabilities up to three loops. The results exhibit the exponentiation mechanism of the infrared contributions to the form factor. On the other hand, gluon correlations are present for any angular configurations, but are found important only in the strong-ordering region recently emphasized in the coherent branching scheme for jet evolution.
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