Surveying Pseudomoduli: the Good, the Bad and the Incalculable

TL;DR

This paper classifies types of pseudomoduli in supersymmetry breaking models, analyzes their potential stability, and provides a framework to determine when their potentials are calculable or incalculable, aiding model building.

Contribution

It offers a comprehensive classification of pseudomoduli and a method to assess their potential's calculability in low-energy supersymmetry breaking theories.

Findings

Identifies regimes where pseudomoduli potentials are calculable from one-loop data.

Determines conditions under which pseudomoduli have dangerous runaways or are incalculable.

Provides a survey framework for large classes of supersymmetry breaking models.

Abstract

We classify possible types of pseudomoduli which arise when supersymmetry is dynamically broken in infrared-free low-energy theories. We show that, even if the pseudomoduli potential is generated only at higher loops, there is a regime where the potential can be simply determined from a combination of one-loop running data. In this regime, we compute whether the potential for the various types of pseudomoduli is safe, has a dangerous runaway to the UV cutoff of the low-energy theory, or is incalculable. Our results are applicable to building new models of supersymmetry breaking. We apply the results to survey large classes of models.