Low-energy Observables and General Gauge Mediation in the MSSM and NMSSM

TL;DR

This paper investigates how low-energy observables like the muon magnetic moment and flavor physics constrain the parameter space of general gauge mediation models in the MSSM and NMSSM, highlighting the impact of hidden sector ratios.

Contribution

It provides a detailed analysis of the constraints on GGM parameter space from low-energy data, emphasizing the role of hidden sector correlation function ratios and contrasting with regular gauge mediation.

Findings

Muon anomalous magnetic moment constrains GGM parameters.

Flavor physics observables significantly restrict the GGM space.

Particle spectra vary with hidden sector ratios, differing from RGM expectations.

Abstract

We study constraints on the general gauge mediation (GGM) parameter space arising from low-energy observables in the MSSM and NMSSM. Specifically, we look at the dependence of the spectra and observables on the correlation function ratios in the hidden sector where supersymmetry is presumably broken. Since these ratios are not a priori constrained by theory, current results from the muon anomalous magnetic moment and flavor physics can potentially provide valuable intuition about allowed possibilities. It is found that the muon anomalous magnetic moment and flavor-physics observables place significant constraints on the GGM parameter space with distinct dependences on the hidden sector correlation function ratios. The particle spectra arising in GGM, with the possibility of different correlation function ratios, is contrasted with common intuition from regular gauge mediation (RGM) schemes (where the ratios are always fixed). Comments are made on precision gauge coupling unification, topography of the NLSP space, correlations of the muon anomalous magnetic moment with other observables, and approximate scaling relations in sparticle masses with respect to the high-scale correlation function ratios.