Abstract
We develop the formal tools needed to construct helicity amplitudes for massive gravitinos in supergravity. We start by considering the helicity states for massive spin-3/2 particles, which involve the solutions of the Rarita–Schwinger equation. These solutions are written using the modern spinor bra–ket notation and are then used to derive the interactions of gravitinos with matter and gauge supermultiplets within supergravity. The corresponding interactions of goldstinos are discussed too, with the help of the goldstino–gravitino equivalence theorem. The methods are then applied to calculate the production and decays involving the gravitino, namely for: and . The neutralino decay is then used to compare the precision of the equivalence goldstino approximation.
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