On-shell constructibility of Born amplitudes in spontaneously broken gauge theories

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.

arXiv comment49 pages, 5 figures, v2: published version, minor typos corrected

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• Constructing massive on-shell contact terms
• Soft Matters, or the Recursions with Massive Spinors
• Sum Rules in the Standard Model Effective Field Theory from Helicity Amplitudes
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
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• The chirality-flow formalism for the standard model