Dual topology and inclusive cross-sections

Abstract

We classify all dual diagrams in terms of self-energy insertions on a finite set of primitive (lowest order) diagrams, and we conjecture that the important asymptotic effects can be expressed in terms of renormalized primitive diagrams. For total cross-sections this is the familiar diffractive plus Regge (resonance) picture, but for inclusive cross-sections (a+b→c+anything) one obtains a more intricate scheme with primitive graphs for diffractive dissociation, and for scaling and nonscaling of the fragmentation and pionization regions. The role of exotic channels in low-energy scaling, and the suppression of the triple pomeron vertex are clarified by this approach. With the assumption of a simpleJ=1 diffractive pole, we calculate (on a computer) the fast-fragmentation graph. Phenomenological features and corrections to pionization and slow fragmentation in the scaling limit are discussed.