General Resonance Mediation

TL;DR

This paper extends gauge mediation models to include nontrivial spectral functions from strong dynamics, providing formulas for cross sections and soft masses, and demonstrating the approach with a holographic example.

Contribution

It introduces a generalized framework for gauge mediation with spectral functions, broadening the class of models and providing analytical formulas for key observables.

Findings

Derived general formulas for cross sections in resonance models.

Provided expressions for soft masses and A-terms.

Demonstrated the framework with a holographic example.

Abstract

We extend the framework of general gauge mediation to cases where the mediating fields have a nontrivial spectral function, as might arise from strong dynamics. We demonstrate through examples that this setup describes a broad class of possible models of gauge mediated supersymmetry breaking. A main emphasis is to give general formulas for cross sections for $\sigma(visible\rightarrow hidden)$ in these resonance models. We will also give formulas for soft masses, A-terms and demonstrate the framework with a holographic setup.