The Mass Spectrum in a Model with Calculable Dynamical Supersymmetry Breaking

TL;DR

This paper analyzes a specific model of dynamical supersymmetry breaking with calculable properties, determining its ground state, vacuum energy, symmetry breaking pattern, and mass spectrum, providing insights into supersymmetry phenomenology.

Contribution

It presents a detailed analysis of a calculable SU(5) supersymmetry breaking model, including mass spectrum calculation and symmetry breaking, which is rare due to the complexity of such models.

Findings

Determined the ground state and vacuum energy of the model

Calculated the mass spectrum and symmetry breaking pattern

Verified the spectrum using supertrace mass relations

Abstract

Models with dynamical supersymmetry breaking are interesting because they may provide a solution to both the gauge hierarchy and the fine-tuning problems. However, because of strongly interacting dynamics, it is in general impossible to analyze them quantitatively. One of the few models with calculable dynamical supersymmetry breaking is a model with SU(5) gauge symmetry and two $10$'s and two $\bar 5$'s as the matter content. We determine the ground state of this model, find the vacuum energy, reveal the symmetry breaking pattern and calculate the mass spectrum. The supertrace mass relation is exploited to verify the consistency of the calculated mass spectrum, and an accidental degeneracy is explained.