# Starobinsky-like inflation and soft-SUSY breaking

## TL;DR

This paper explores a Starobinsky-like inflation model within no-scale supergravity, linking supersymmetry breaking and inflation, and predicts testable superpartner mass ranges for collider experiments.

## Contribution

It introduces a model connecting inflation with SUSY breaking via a Polonyi term, deriving soft-breaking parameters and constraining the gravitino mass based on inflationary conditions.

## Key findings

- Upper bound on gravitino mass: < 10^3 TeV
- Gaugino masses are significantly lighter than gravitino mass
- SUSY could be discovered at LHC or FCC

## Abstract

We study a version of Starobinsky-like inflation in no-scale supergravity (SUGRA) where a Polonyi term in the hidden sector breaks supersymmetry (SUSY) after inflation, providing a link between the gravitino mass and inflation. We extend the theory to the visible sector and calculate the soft-SUSY breaking parameters depending on the modular weights in the superpotential and choice of K\"ahler potential. We are led to either no-scale SUGRA or pure gravity mediated SUSY breaking patterns, but with inflationary constraints on the Polonyi term setting a strict upper bound on the gravitino mass $m_{3/2} < 10^3$ TeV. Since gaugino masses are significantly lighter than $m_{3/2}$, this suggests that SUSY may be discovered at the LHC or FCC.