In this talk, I will explore to what extent fully generic scattering
amplitudes can be built using a purely algebraic language which builds
on the spinor-helicity formalism. It is well-known that simply enforcing
two very physical constraints (Lorentz covariance and consistent
factorisation over intermediate on-shell states) leaves to a huge
restriction on the number of viable theories. I will re-derive some
known results in an algebraic language, and argue how this description
lents itself to the manipulation and simplification of amplitudes, and
naturally highlights the connection of “amplitudeology” with different
topics such as the infrared structure of field theories and effective
field theory.