Seminatural Gauge Mediation from Product Group Unification

TL;DR

This paper introduces a focus point gauge mediation model based on product group unification that naturally explains electroweak symmetry breaking and dark matter properties, addressing key issues in supersymmetry.

Contribution

It presents a novel focus point gauge mediation scenario derived from PGU with specific messenger field representations, enhancing predictability and addressing multiple SUSY challenges.

Findings

Electroweak symmetry breaking scale is naturally explained with multi-TeV stops.

The model predicts a specific messenger ratio close to 5/2, leading to focus point behavior.

Gravitino can serve as dark matter without affecting thermal leptogenesis.

Abstract

We propose a focus point gauge mediation model based on the product group unification (PGU), which solves the doublet-triplet splitting problem of the Higgs multiplets. In the focus point gauge mediation, the electroweak symmetry breaking scale can be naturally explained even for multi-TeV stops. It is known that the focus point behavior appears if a ratio of the number of SU(2) doublet messengers to that of SU(3) triplet messengers is close to 5/2. Importantly, this ratio (effectively) appears in our scenario based on the PGU, if the messenger field is an adjoint representation of SU(5) gauge group. Therefore, our focus point scenario is very predictive. It is also pointed out the gravitino can be dark matter without spoiling the success of the thermal leptogenesis. The absence of the SUSY CP-problem is guaranteed in the case that the Higgs B-term vanishes at the messenger scale.