Enhanced Pomeron diagrams: re-summation of unitarity cuts

Unitarity cuts of enhanced Pomeron diagrams are analyzed in the framework of the Reggeon Field Theory. Assuming the validity of the Abramovskii-Gribov-Kancheli cutting rules, we derive a complete set of cut non-loop enhanced graphs and observe important cancellations between certain sub-classes of the latter. We demonstrate also how the present method can be generalized to take into consideration Pomeron loop contributions.