On-shell constructibility of Born amplitudes in spontaneously broken gauge theories
arXiv:1910.13407 · doi:10.1007/JHEP02(2020)073
Abstract
We perform a comprehensive study of on-shell recursion relations for Born amplitudes in spontaneously broken gauge theories and identify the minimal shifts required to construct amplitudes with a given particle content and spin quantum numbers. We show that two-line or three-line shifts are sufficient to construct all amplitudes with five or more particles, apart from amplitudes involving longitudinal vector bosons or scalars, which may require at most five-line shifts. As an application, we revisit selection rules for multi-boson amplitudes using on-shell recursion and little-group transformations.
49 pages, 5 figures, v2: published version, minor typos corrected