# Runaway potentials and a massive goldstino

## TL;DR

This paper investigates N=1 supersymmetric theories with runaway scalar potentials, revealing that a massive goldstino always appears in the low energy spectrum, with its mass depending on the potential's slope and other scales.

## Contribution

It demonstrates the universal presence of a massive goldstino in runaway backgrounds and derives its mass dependence on the potential and model parameters.

## Key findings

- Massive goldstino exists in all studied runaway backgrounds.
- Goldstino mass scales with the potential's slope and other model parameters.
- Seesaw mechanisms can modify the goldstino mass.

## Abstract

We study N=1 globally supersymmetric theories on runaway backgrounds arising from scalar potentials with a slope characterized by a scale $M = |V/V'|$. We find that, under mild assumptions, there always exists a massive goldstino in the low energy effective theory. In the simplest models the effective mass of such a fermion is of order $\sqrt{V} / M$, or of order $V / M^2 \mu$ when a seesaw mechanism takes place, where $\mu$ is a scale that characterizes the masses of other heavy fermions.

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Source: https://tomesphere.com/paper/1903.07560