Massive recursion relations and amplitudes for higher spins

Abstract: As an alternative to Feynman rules, on-shell formalism offers an efficient and elegant way to compute amplitudes with arbitrary number of external particles. The construction relies crucially on an appropriate momentum shift. In the massless case, this formalism has proven to be particularly powerful for n-point graviton or gluon amplitudes. However, less is known in the massive case. In this talk, I present a momentum shift in the massive on-shell formalism, which allows us to construct amplitudes in QED, electroweak and supergravity theories. In addition, this method is applied to derive some higher spin (s>1) Compton amplitudes.