Gravity in Gauge Mediation
Zygmunt Lalak, Stefan Pokorski, Krzysztof Turzynski

TL;DR
This paper studies how gravity affects F-term supersymmetry breaking models in gauge mediation, showing that gravity contributions to scalar masses are minimal, which helps avoid flavor-changing neutral currents and allows for gravitino masses suitable for phenomenology.
Contribution
It demonstrates that in metastable vacua, gravity mediation effects are suppressed below 1%, enabling viable gauge mediation models with specific gravitino mass ranges.
Findings
Gravity mediation contribution is below 1% in metastable vacua.
Gravitino mass can be in the 10-100 GeV range.
Models can include stabilized moduli in the gravity sector.
Abstract
We investigate O'Raifeartaigh-type models for F-term supersymmetry breaking in gauge mediation scenarios in the presence of gravity. It is pointed out that the vacuum structure of those models is such that in metastable vacua gravity mediation contribution to scalar masses is always suppressed to the level below 1 percent, almost sufficient for avoiding FCNC problem. Close to that limit, gravitino mass can be in the range 10-100 GeV, opening several interesting possibilities for gauge mediation models, including Giudice-Masiero mechanism for mu and Bmu generation. Gravity sector can include stabilized moduli.
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