Abstract
It is argued that an arbitrarary discontinuity of an arbitrary multi-Regge amplitude factorizes just as does the full amplitude itself. A set of rules is given for writing down the behavior of the full amplitude or any discontinuity as a product of Regge propagators, single-, double-, and triple-Regge vertices and their discontinuities. This result has numerous applications; e.g., in the consistency of the multiperipheral model and the Mueller analysis of inclusive cross sections.
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