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.

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.