D term and gaugino masses in gauge mediation

TL;DR

This paper classifies supersymmetry breaking models with F and D terms, identifying conditions for stability and gaugino mass generation, crucial for realistic gauge mediation models.

Contribution

It provides a systematic classification of models with F and D breaking, highlighting conditions for stability and gaugino mass generation in gauge mediation.

Findings

Certain models exhibit runaway scalar potential behavior.

Some models require Fayet-Iliopoulos terms for supersymmetry breaking.

Stable models can generate gaugino masses at one-loop order.

Abstract

We systematically study supersymmetry breaking with non-vanishing F and D terms. We classify the models into two categories and find that a certain class of models necessarily has runaway behavior of scalar potential, while the other needs the Fayet-Iliopoulos term to break supersymmetry. The latter class is useful to have a simple model of gauge mediation where the vacuum is stable everywhere and the gaugino mass is generated at the one-loop order.