Abstract

Optical theorems for three-to-three processes are derived from S-matrix principles. These theorems express all single, double, and multiple discontinuities across all combinations of normal threshold cuts in terms of physical scattering amplitudes. The 216 functions corresponding to all combinations of sides of the 16 normal threshold cuts are determined by analyticity requirements and the generalized Steinmann relations. These two conditions guarantee that these functions can be identified with the corresponding functions in the Regge discontinuity formulas of Weis. This identification provides for a possible enlargement of the scope of Regge–Mueller-type analyses of high-energy processes.

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