# Sgoldstino-less inflation and low energy SUSY breaking

## TL;DR

This paper evaluates the validity of sgoldstino-less inflation models within low energy supersymmetry breaking scenarios, introduces a UV complete model combining alpha-attractors and gauge mediation, and discusses phenomenological constraints.

## Contribution

It provides a comprehensive analysis of sgoldstino-less inflation with inflaton-dependent cut-off and presents a UV complete model integrating alpha-attractors and gauge mediation.

## Key findings

- Gravitino mass lower bound around MeV given current superpartner mass limits.
- Complete superpartner spectrum and inflation observables can be derived in the model.
- Constraints from collider results and inflation observables significantly impact model viability.

## Abstract

We assess the range of validity of sgoldstino-less inflation in a scenario of low energy supersymmetry breaking. We first analyze the consistency conditions that an effective theory of the inflaton and goldstino superfields should satisfy in order to be faithfully described by a sgoldstino-less model. Enlarging the scope of previous studies, we investigate the case where the effective field theory cut-off, and hence also the sgoldstino mass, are inflaton-dependent. We then introduce a UV complete model where one can realize successfully sgoldstino-less inflation and gauge mediation of supersymmetry breaking, combining the alpha-attractor mechanism and a weakly coupled model of spontaneous breaking of supersymmetry. In this class of models we find that, given current limits on superpartner masses, the gravitino mass has a lower bound of the order of the MeV, i.e. we cannot reach very low supersymmetry breaking scales. On the plus side, we recognize that in this framework, one can derive the complete superpartner spectrum as well as compute inflation observables, the reheating temperature, and address the gravitino overabundance problem. We then show that further constraints come from collider results and inflation observables. Their non trivial interplay seems a staple feature of phenomenological studies of supersymmetric inflationary models.