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arXiv · 1111.1838

On kinematical constraints in boson-boson systems

M. F. M. Lutz·I. Vidana
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Abstract

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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M. F. M. Lutz, I. Vidana. 2011-11-08. On kinematical constraints in boson-boson systems. https://doi.org/10.1140/epja/i2012-12124-4

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