On kinematical constraints in boson-boson systems

Details On kinematical constraints in boson-boson systems On kinematical constraints in boson-boson systems

2011-11-08

arxiv.org/abs/1111.1838v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 8 tables

Scientific paper

We consider the scattering of two-bosons with negative parity and spin 0 or 1. Starting from helicity partial-wave scattering amplitudes we derive transformations that eliminate all kinematical constraints. Such amplitudes are expected to satisfy partial-wave dispersion relations and therefore provide a suitable basis for data analysis and the construction of effective field theories. Our derivation relies on a decomposition of the various scattering amplitudes into suitable sets of invariant functions. A novel algebra was developed that permits the efficient computation of such functions in terms of computer algebra codes.

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