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arxiv: 1111.1838 · v1 · pith:3KYBZZJEnew · submitted 2011-11-08 · ✦ hep-ph

On kinematical constraints in boson-boson systems

classification ✦ hep-ph
keywords amplitudesscatteringalgebraconstraintsfunctionskinematicalpartial-wavesuitable
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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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