Focus point gauge mediation in product group unification

TL;DR

This paper demonstrates how focus point gauge mediation models, which allow heavy superpartners with minimal fine-tuning, can be naturally integrated into an SU(5) x U(3) product group unification framework.

Contribution

It introduces a novel embedding of focus point gauge mediation into a product group unification model, enhancing the theoretical understanding of supersymmetry breaking.

Findings

Radiative corrections cancel out, enabling heavy superpartners.

The model achieves a 125 GeV Higgs with modest fine-tuning.

Successful embedding into SU(5) x U(3) unification.

Abstract

In certain models of gauge-mediated supersymmetry breaking with messenger fields in incomplete GUT multiplets, the radiative corrections to the Higgs potential cancel out during renormalization group running. This allows for relatively heavy superpartners and for a 125 GeV Higgs while the fine-tuning remains modest. In this paper, we show that such gauge mediation models with "focus point" behaviour can be naturally embedded into a model of SU(5) x U(3) product group unification.