Elementary Discontinuity Formulas and Mueller's Regge Hypothesis

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Abstract
We propose to interpret Mueller's recent work on inclusive cross sections in terms of the elementary discontinuity equations for multiparticle scattering amplitudes. The paths of continuations for obtaining these discontinuities are given. We find that, in order to make our identification meaningful, the emergence of anomalous thresholds is necessary to "shield" the effects of box-diagram Landau singularities. We also discuss how Mueller's Regge hypothesis can be derived from the multi-Regge model, provided singularities other than normal thresholds are absent in the asymptotic expansion.