The gravitino coupling to broken gauge theories applied to the MSSM

TL;DR

This paper analyzes gravitino interactions in broken gauge theories, calculating production cross sections and demonstrating that gluon fusion dominates over W+ W- fusion at high energies.

Contribution

It provides the first detailed calculation of gravitino production via W+ W- fusion, clarifying its subdominance compared to gluon fusion in the MSSM.

Findings

W+ W- fusion is subdominant to gluon fusion at high energies.

Analytic expressions for cross sections in supersymmetric and electroweak limits.

Numerical confirmation using effective goldstino theory.

Abstract

We consider gravitino couplings in theories with broken gauge symmetries. In particular, we compute the single gravitino production cross section in W+ W- fusion processes. Despite recent claims to the contrary, we show that this process is always subdominant to gluon fusion processes in the high energy limit. The full calculation is performed numerically; however, we give analytic expressions for the cross section in the supersymmetric and electroweak limits. We also confirm these results with the use of the effective theory of goldstino interactions.