Retrofitting O'Raifeartaigh Models with Dynamical Scales

TL;DR

This paper introduces a method to create simple supersymmetry breaking models where all small mass scales are generated dynamically, using gauge theories coupled to perturbative models, enabling straightforward mediation to the Standard Model.

Contribution

It presents a novel approach to dynamically generate all small mass scales in supersymmetry breaking models by coupling to gauge theories, and demonstrates explicit examples and mediation strategies.

Findings

All small parameters replaced by powers of dynamical scale

Models can be directly mediated to the Standard Model

Framework simplifies supersymmetry breaking model building

Abstract

We provide a method for obtaining simple models of supersymmetry breaking, with all small mass scales generated dynamically, and illustrate it with explicit examples. We start from models of perturbative supersymmetry breaking, such as O'Raifeartaigh and Fayet models, that would respect an $R$ symmetry if their small input parameters transformed as the superpotential does. By coupling the system to a pure supersymmetric Yang-Mills theory (or a more general supersymmetric gauge theory with dynamically small vacuum expectation values), these parameters are replaced by powers of its dynamical scale in a way that is naturally enforced by the symmetry. We show that supersymmetry breaking in these models may be straightforwardly mediated to the supersymmetric Standard Model, obtain complete models of direct gauge mediation, and comment on related model building strategies that arise in this simple framework.