On kinematical constraints in fermion-antifermion systems
High Energy Physics - Phenomenology
2015-05-28 v1 Nuclear Theory
Abstract
We consider the scattering of fermions off antifermions with spin 1/2 and 3/2. 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.
Keywords
Cite
@article{arxiv.1106.5619,
title = {On kinematical constraints in fermion-antifermion systems},
author = {S. Stoica and M. F. M. Lutz and O. Scholten},
journal= {arXiv preprint arXiv:1106.5619},
year = {2015}
}
Comments
12 pages, 3 tables