Reggeon diagram technique for inclusive processes in the triple-Regge limit

Abstract

We derive rules for evaluating Regge branch-cut corrections to the triple-Regge regime of inclusive reactions. Our approach is to study classes of hybrid field-theory graphs for the six-point function and to set up a constructive procedure for evaluating the contributions with discontinuities in the missing mass. We find that all contributions, cut and pole, can be given in terms of a single partial-wave amplitude and our rules are for constructing that. The rules are then cast into a form appropriate for a Reggeon field-theory evaluation of this partial-wave amplitude, and a renormalization-group attack on the problem is outlined. This latter work is especially relevant for the case when Pomeron exchange is permitted and a nonperturbative evaluation of the partial-wave amplitude near ${J}_{i}\ensuremath{\approx}1$ and ${t}_{i}\ensuremath{\approx}0$ is required.