O(3, 1) expansion for asymptotically growing amplitudes

Abstract

It is shown how to expand asymptotically growing scattering amplitudes which considered as functions defined on the group O(3, 1) do not satisfy the square-integrability criterion. We discuss the cases when subgroup chosen to be diagonal is either the rotation group or the Lorentz group O(3, 1). Application to inclusive reactions in the fragmentation and the triple Regge region is considered. There as no fixed poles at integer point representations. We comment on the relation of the present work to methods based on integral geometry.